V2EX truth table

Truth Table

释义 Definition

真值表:在逻辑学与数字电路中,用表格列出所有可能的输入组合以及对应的输出结果,用来描述一个逻辑表达式、命题或逻辑电路的行为。(在计算机科学中也常用于说明布尔函数。)

发音 Pronunciation (IPA)

/truθ tebl/

例句 Examples

A truth table shows the output for every possible input.
真值表展示每一种可能输入对应的输出。

To verify the logic of the circuit, the engineer built a truth table and compared it with the expected results.
为了验证电路逻辑,工程师制作了真值表,并将其与预期结果进行对比。

词源 Etymology

truth(“真、真值”)+ table(“表格”)。该术语直译为“真值的表”,强调用表格方式呈现逻辑命题在不同条件下的真假(或 0/1)结果,常见于逻辑学、布尔代数与数字电路分析。

相关词 Related Words

文学与著作举例 Literary Works

  • Introduction to Mathematical Logic(Alonzo Church):在命题逻辑与语义解释的讨论中会使用真值表或等价的真值赋值方法来说明联结词的含义。
  • Logic, Semantics, Metamathematics(Alfred Tarski, ed. John Corcoran):涉及形式语义与真理论的材料中,常以真值条件(与真值表思想相近)来阐释逻辑连接词与公式的解释。
  • The Art of Computer Programming, Vol. 4A: Combinatorial Algorithms(Donald E. Knuth):在与布尔函数、组合生成等相关内容中会出现真值表作为表达或枚举布尔关系的工具。
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