📚 Logic Gates | 逻辑门
Logic gates are the fundamental building blocks of digital circuits. In Cambridge IGCSE Computer Science and O Level Electronics, you need to recognise the standard symbols, write truth tables, and understand how simple combinations of gates produce predictable outputs.
逻辑门是数字电路的基本构建模块。在剑桥 IGCSE 计算机科学和 O Level 电子学中,你需要认识标准符号、会写真值表,并理解简单的门电路组合如何产生可预测的输出。
1. What is a Logic Gate? | 什么是逻辑门?
A logic gate is a physical device or electronic circuit that takes one or more binary inputs and produces a single binary output. The output depends only on the current inputs, following a fixed rule. Binary means there are only two possible states: 0 (low voltage, off, false) and 1 (high voltage, on, true).
逻辑门是一种物理器件或电子电路,它接收一个或多个二进制输入并产生一个二进制输出。输出仅取决于当前输入,遵循固定规则。二进制意味着只有两种可能状态:0(低电压、关、假)和 1(高电压、开、真)。
Because logic gates use binary, we can describe every possible behaviour using a truth table. A truth table lists all combinations of inputs and shows the resulting output.
由于逻辑门使用二进制,我们可以用真值表描述所有可能的行为。真值表列出所有输入组合并显示对应的输出。
2. Truth Tables and Binary Logic | 真值表与二值逻辑
In a truth table, each input column represents a binary variable such as A or B, and the right-hand column shows the output Q. For n inputs there are 2ⁿ possible input combinations, so a two-input gate has four rows, while a three-input gate has eight rows.
在真值表中,每个输入列代表一个二进制变量,如 A 或 B,最右侧列显示输出 Q。对于 n 个输入,有 2ⁿ 种可能的输入组合,因此双输入门有 4 行,三输入门有 8 行。
The rows are usually written in binary counting order: 00, 01, 10, 11 for two inputs. This convention makes it easier to compare different gates and to check that no combination is missed.
这些行通常按二进制计数顺序书写:双输入为 00、01、10、11。这种约定便于比较不同的门,并检查是否遗漏了任何组合。
Boolean algebra is the mathematics of binary logic. Each gate has a Boolean expression that shows how the output is calculated from the inputs.
布尔代数是二进制逻辑的数学基础。每个门都有一个布尔表达式,说明输出如何由输入计算得出。
3. The NOT Gate | 非门
The NOT gate has only one input and one output. It inverts the input: if the input is 0, the output becomes 1, and if the input is 1, the output becomes 0. For this reason it is also called an inverter.
非门只有一个输入和一个输出。它对输入取反:如果输入为 0,输出为 1;如果输入为 1,输出为 0。因此它也被称为反相器。
Q = NOT A = A'
| Input A | Output Q |
|---|---|
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