516 lines
12 KiB
Vue
516 lines
12 KiB
Vue
<template>
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<div class="full-adder-demo">
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<div class="demo-header">
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<span class="title">全加器 (Full Adder)</span>
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<span class="subtitle">能处理进位输入的完整加法单元 ── 三个输入,两个输出</span>
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</div>
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<div class="terms-box">
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<div class="term-item">
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<span class="term-name">Cin (进位输入)</span>
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<span class="term-desc">来自低位的进位信号</span>
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</div>
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<div class="term-item">
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<span class="term-name">Sum (本位)</span>
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<span class="term-desc">三位异或的结果</span>
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</div>
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<div class="term-item">
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<span class="term-name">Cout (进位输出)</span>
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<span class="term-desc">向高位的进位信号</span>
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</div>
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</div>
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<div class="circuit-container">
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<div class="inputs">
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<div class="input-line">
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<button
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class="toggle-btn"
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:class="{ on: inputA }"
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@click="inputA = !inputA"
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>
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{{ inputA ? '1' : '0' }}
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</button>
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<span class="label">输入 A</span>
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</div>
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<div class="input-line">
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<button
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class="toggle-btn"
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:class="{ on: inputB }"
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@click="inputB = !inputB"
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>
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{{ inputB ? '1' : '0' }}
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</button>
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<span class="label">输入 B</span>
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</div>
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<div class="input-line">
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<button
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class="toggle-btn cin-btn"
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:class="{ on: carryIn }"
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@click="carryIn = !carryIn"
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>
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{{ carryIn ? '1' : '0' }}
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</button>
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<span class="label">Cin</span>
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</div>
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</div>
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<div class="wires">
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<svg class="wire-svg" viewBox="0 0 120 180" preserveAspectRatio="none">
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<path
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d="M 0,30 C 30,30 30,45 60,45"
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fill="none"
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:stroke="inputA ? 'var(--vp-c-brand-1)' : 'var(--vp-c-text-3)'"
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stroke-width="2"
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/>
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<path
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d="M 0,30 L 15,30 L 15,105 L 60,105"
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fill="none"
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:stroke="inputA ? 'var(--vp-c-brand-1)' : 'var(--vp-c-text-3)'"
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stroke-width="2"
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/>
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<path
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d="M 0,90 C 30,90 30,60 60,60"
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fill="none"
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:stroke="inputB ? 'var(--vp-c-brand-1)' : 'var(--vp-c-text-3)'"
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stroke-width="2"
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/>
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<path
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d="M 0,90 L 25,90 L 25,120 L 60,120"
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fill="none"
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:stroke="inputB ? 'var(--vp-c-brand-1)' : 'var(--vp-c-text-3)'"
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stroke-width="2"
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/>
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<path
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d="M 0,150 C 30,150 30,135 60,135"
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fill="none"
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:stroke="carryIn ? '#d97706' : 'var(--vp-c-text-3)'"
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stroke-width="2"
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/>
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<circle
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cx="15"
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cy="30"
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r="3"
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:fill="inputA ? 'var(--vp-c-brand-1)' : 'var(--vp-c-text-3)'"
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/>
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<circle
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cx="25"
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cy="90"
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r="3"
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:fill="inputB ? 'var(--vp-c-brand-1)' : 'var(--vp-c-text-3)'"
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/>
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</svg>
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</div>
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<div class="gates">
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<div class="gate-box xor-gate" :class="{ active: xor1 }">
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<div class="gate-header">
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<span class="gate-name">XOR</span>
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<span class="gate-cn">异或门</span>
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</div>
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<div class="gate-formula">A ⊕ B</div>
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<div class="gate-desc">不同为 1 → 中间值</div>
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</div>
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<div class="gate-box and-gate" :class="{ active: carry1 }">
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<div class="gate-header">
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<span class="gate-name">AND</span>
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<span class="gate-cn">与门</span>
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</div>
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<div class="gate-formula">A ∧ B</div>
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<div class="gate-desc">全 1 为 1 → 进位1</div>
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</div>
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<div class="gate-box xor-gate" :class="{ active: sumOut }">
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<div class="gate-header">
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<span class="gate-name">XOR</span>
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<span class="gate-cn">异或门</span>
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</div>
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<div class="gate-formula">xor1 ⊕ Cin</div>
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<div class="gate-desc">不同为 1 → 本位</div>
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</div>
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<div class="gate-box or-gate" :class="{ active: carryOut }">
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<div class="gate-header">
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<span class="gate-name">OR</span>
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<span class="gate-cn">或门</span>
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</div>
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<div class="gate-formula">c1 ∨ c2</div>
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<div class="gate-desc">有 1 为 1 → 进位输出</div>
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</div>
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</div>
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<div class="wires outputs-wires">
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<svg class="wire-svg" viewBox="0 0 50 180" preserveAspectRatio="none">
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<line
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x1="0"
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y1="52"
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x2="50"
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y2="52"
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:stroke="
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sumOut ? 'var(--vp-c-green-1, #16a34a)' : 'var(--vp-c-text-3)'
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"
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stroke-width="2"
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/>
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<line
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x1="0"
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y1="135"
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x2="50"
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y2="135"
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:stroke="carryOut ? '#d97706' : 'var(--vp-c-text-3)'"
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stroke-width="2"
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/>
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</svg>
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</div>
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<div class="outputs">
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<div class="output-line" :class="{ active: sumOut }">
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<span class="label">本位 (Sum)</span>
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<span class="out-val s-val">{{ sumOut ? '1' : '0' }}</span>
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</div>
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<div class="output-line" :class="{ active: carryOut }">
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<span class="label">Cout (进位)</span>
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<span class="out-val c-val">{{ carryOut ? '1' : '0' }}</span>
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</div>
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</div>
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</div>
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<div class="calculation-box">
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<div class="calc-title">计算过程</div>
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<div class="calc-content">
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<div class="calc-row">
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<span class="calc-label">输入:</span>
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<span class="calc-value">A = {{ inputA ? '1' : '0' }},B = {{ inputB ? '1' : '0' }},Cin =
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{{ carryIn ? '1' : '0' }}</span>
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</div>
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<div class="calc-row">
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<span class="calc-label">中间值:</span>
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<span class="calc-formula">xor1 = A ⊕ B = {{ inputA ? '1' : '0' }} ⊕
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{{ inputB ? '1' : '0' }} =
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<strong>{{ xor1 ? '1' : '0' }}</strong></span>
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<span class="calc-reason">({{ inputA !== inputB ? '不同' : '相同' }})</span>
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</div>
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<div class="calc-row">
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<span class="calc-label">本位:</span>
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<span class="calc-formula">Sum = xor1 ⊕ Cin = {{ xor1 ? '1' : '0' }} ⊕
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{{ carryIn ? '1' : '0' }} =
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<strong>{{ sumOut ? '1' : '0' }}</strong></span>
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<span class="calc-reason">({{ xor1 !== carryIn ? '不同' : '相同' }})</span>
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</div>
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<div class="calc-row">
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<span class="calc-label">进位:</span>
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<span class="calc-formula">Cout = (A∧B) ∨ (xor1∧Cin) = ({{ carry1 ? '1' : '0' }}) ∨ ({{
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carry2 ? '1' : '0'
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}}) = <strong>{{ carryOut ? '1' : '0' }}</strong></span>
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</div>
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</div>
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</div>
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<div class="info-box">
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<strong>核心思想:</strong>
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全加器 = 两个半加器 + 一个 OR 门。第一级半加器算
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A+B,第二级半加器把结果加上 Cin,OR 门合并两路进位信号。
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</div>
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</div>
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</template>
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<script setup>
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import { ref, computed } from 'vue'
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const inputA = ref(true)
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const inputB = ref(true)
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const carryIn = ref(false)
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const xor1 = computed(() => inputA.value !== inputB.value)
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const carry1 = computed(() => inputA.value && inputB.value)
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const carry2 = computed(() => xor1.value && carryIn.value)
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const sumOut = computed(() => xor1.value !== carryIn.value)
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const carryOut = computed(() => carry1.value || carry2.value)
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</script>
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<style scoped>
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.full-adder-demo {
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border: 1px solid var(--vp-c-divider);
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border-radius: 8px;
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background: var(--vp-c-bg-soft);
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padding: 1rem 1.2rem;
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margin: 1rem 0;
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}
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.demo-header {
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display: flex;
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flex-direction: column;
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gap: 0.15rem;
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margin-bottom: 0.75rem;
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}
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.title {
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font-size: 0.9rem;
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font-weight: bold;
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color: var(--vp-c-text-1);
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}
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.subtitle {
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font-size: 0.75rem;
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color: var(--vp-c-text-3);
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}
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.terms-box {
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display: flex;
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gap: 0.5rem;
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margin-bottom: 0.75rem;
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padding: 0.5rem;
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background: var(--vp-c-bg-alt);
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border-radius: 6px;
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}
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.term-item {
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flex: 1;
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display: flex;
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flex-direction: column;
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gap: 0.15rem;
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}
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.term-name {
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font-size: 0.78rem;
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font-weight: 600;
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color: var(--vp-c-brand-1);
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}
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.term-desc {
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font-size: 0.68rem;
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color: var(--vp-c-text-3);
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line-height: 1.3;
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}
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.circuit-container {
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display: flex;
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align-items: center;
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justify-content: center;
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gap: 0;
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padding: 1rem;
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overflow-x: auto;
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}
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.inputs,
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.outputs {
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display: flex;
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flex-direction: column;
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gap: 2rem;
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min-width: 6rem;
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z-index: 2;
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}
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.outputs {
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min-width: 8rem;
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}
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.input-line,
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.output-line {
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display: flex;
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align-items: center;
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gap: 0.5rem;
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}
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.label {
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font-size: 0.8rem;
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color: var(--vp-c-text-1);
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}
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.toggle-btn {
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width: 2.2rem;
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height: 2.2rem;
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border-radius: 4px;
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background: var(--vp-c-bg);
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border: 1px solid var(--vp-c-divider);
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font-weight: bold;
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font-family: monospace;
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font-size: 1rem;
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cursor: pointer;
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transition: all 0.2s;
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}
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.toggle-btn.on {
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background: var(--vp-c-brand-soft);
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color: var(--vp-c-brand-1);
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border-color: var(--vp-c-brand-1);
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}
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.toggle-btn.cin-btn.on {
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background: #fef3c7;
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color: #d97706;
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border-color: #d97706;
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}
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.out-val {
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display: inline-flex;
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align-items: center;
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justify-content: center;
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width: 2.2rem;
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height: 2.2rem;
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border-radius: 4px;
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background: var(--vp-c-bg);
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border: 1px solid var(--vp-c-divider);
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font-weight: bold;
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font-family: monospace;
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font-size: 1rem;
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transition: all 0.2s;
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}
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.output-line.active .s-val {
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background: #dcfce7;
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color: #16a34a;
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border-color: #16a34a;
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}
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.output-line.active .c-val {
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background: #fef3c7;
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color: #d97706;
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border-color: #d97706;
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}
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.wires {
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width: 100px;
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height: 180px;
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position: relative;
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}
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.outputs-wires {
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width: 40px;
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}
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.wire-svg {
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width: 100%;
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height: 100%;
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}
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.gates {
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display: grid;
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grid-template-columns: repeat(2, 1fr);
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gap: 0.6rem;
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z-index: 2;
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}
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.gate-box {
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width: 6rem;
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height: 3.5rem;
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background: var(--vp-c-bg-alt);
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border: 2px solid var(--vp-c-divider);
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border-radius: 4px;
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display: flex;
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flex-direction: column;
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align-items: center;
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justify-content: center;
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transition: all 0.2s;
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box-shadow: 0 2px 4px rgba(0, 0, 0, 0.05);
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}
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.gate-box.active {
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border-color: var(--vp-c-brand-1);
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box-shadow: 0 0 8px var(--vp-c-brand-soft);
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}
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.gate-header {
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display: flex;
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align-items: baseline;
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gap: 0.25rem;
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}
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.gate-name {
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font-weight: bold;
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font-size: 0.85rem;
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color: var(--vp-c-text-1);
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}
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.gate-cn {
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font-size: 0.65rem;
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color: var(--vp-c-text-3);
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}
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.gate-formula {
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font-size: 0.7rem;
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color: var(--vp-c-brand-1);
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font-family: 'JetBrains Mono', monospace;
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}
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.gate-desc {
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font-size: 0.6rem;
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color: var(--vp-c-text-3);
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margin-top: 0.1rem;
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}
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.calculation-box {
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margin-top: 1rem;
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padding: 0.6rem 0.8rem;
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background: var(--vp-c-bg);
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border-radius: 6px;
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}
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.calc-title {
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font-size: 0.75rem;
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font-weight: 600;
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color: var(--vp-c-text-2);
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margin-bottom: 0.4rem;
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}
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.calc-content {
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display: flex;
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flex-direction: column;
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gap: 0.25rem;
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}
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.calc-row {
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display: flex;
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align-items: baseline;
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gap: 0.3rem;
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font-size: 0.78rem;
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}
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.calc-label {
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color: var(--vp-c-text-3);
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min-width: 4rem;
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}
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.calc-formula {
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font-family: 'JetBrains Mono', monospace;
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color: var(--vp-c-text-1);
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}
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.calc-formula strong {
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color: var(--vp-c-brand-1);
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}
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.calc-reason {
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color: var(--vp-c-text-3);
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font-size: 0.72rem;
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}
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.info-box {
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display: flex;
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gap: 0.25rem;
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margin-top: 0.75rem;
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padding: 0.6rem 0.8rem;
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background: var(--vp-c-bg-alt);
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border-radius: 6px;
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font-size: 0.8rem;
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color: var(--vp-c-text-2);
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line-height: 1.4;
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}
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.info-box strong {
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white-space: nowrap;
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flex-shrink: 0;
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color: var(--vp-c-text-1);
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}
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@media (max-width: 600px) {
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.circuit-container {
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transform: scale(0.75);
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transform-origin: left top;
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padding-bottom: 0;
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}
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.terms-box {
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flex-direction: column;
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}
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.gates {
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grid-template-columns: 1fr;
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}
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}
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</style>
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