Why is it called a logic gate 2024?
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Eliza Turner
Studied at the University of Edinburgh, Lives in Edinburgh, Scotland.
As a domain expert in digital electronics and computational theory, I have a deep understanding of the concepts and operations of logic gates. Let's delve into the etymology and functionality of what we refer to as "logic gates."
逻辑门（Logic Gates）是数字电路的基本构建块，它们在计算机科学和电子工程中扮演着至关重要的角色。逻辑门之所以被称为“逻辑”门，是因为它们实现了布尔代数中的逻辑运算，这些运算在数学和逻辑推理中非常关键。布尔代数由乔治·布尔在19世纪中叶提出，为逻辑运算提供了一个代数框架。
The term "logic gate" is derived from the function these gates perform within circuits. They operate on one or more binary inputs to produce a single binary output, which is determined by a logical function based on the truth values of the inputs. This is akin to how a gate in a physical sense controls the passage of entities, allowing them to pass through only if certain conditions are met.
逻辑门的名称来源于它们在电路中的功能。它们对一个或多个二进制输入进行操作，产生一个单一的二进制输出，该输出由基于输入真值的逻辑函数决定。这类似于物理中的门控制实体的通过，只有在满足某些条件时才允许它们通过。
The "logic" in logic gates refers to the logical operations they represent. These operations are the foundation of Boolean algebra, a branch of algebra dealing with binary variables and logical operations. The seven basic logic gates are AND, OR, XOR, NOT, NAND, NOR, and XNOR, each corresponding to a specific Boolean operation:
逻辑门中的“逻辑”指的是它们所代表的逻辑运算。这些运算是布尔代数的基础，布尔代数是处理二进制变量和逻辑运算的代数分支。七个基本逻辑门是AND、OR、XOR、NOT、NAND、NOR和XNOR，每个都对应一个特定的布尔运算：
- AND gate outputs true if and only if all its inputs are true.
- OR gate outputs true if at least one of its inputs is true.
- XOR (Exclusive OR) gate outputs true if an odd number of its inputs are true.
- NOT (Inverter) gate outputs the opposite of its single input.
- NAND gate is the negation of an AND gate; it outputs false only if all its inputs are true.
- NOR gate is the negation of an OR gate; it outputs true only if all its inputs are false.
- XNOR (Exclusive NOR) gate outputs true only if an even number of its inputs are true.
AND门仅当所有输入都为真时输出真。
OR门只要至少有一个输入为真就输出真。
XOR（异或）门仅当奇数个输入为真时输出真。
NOT（非门）输出与其单个输入相反的值。
NAND门是AND门的否定；仅当所有输入都为真时输出假。
NOR门是OR门的否定；仅当所有输入都为假时输出真。
XNOR（同或）门仅当偶数个输入为真时输出真。
The design and operation of logic gates are crucial for constructing complex digital systems. They are used in everything from simple calculators to the most advanced supercomputers. The AND gate, for example, is fundamental because it embodies the essence of conjunction in logic. When we say "A AND B," we mean that both A and B must be true for the statement to hold true. Similarly, an AND gate only allows a high (or true) output when all its inputs are high (or true).
逻辑门的设计和操作对于构建复杂的数字系统至关重要。它们被用于从简单的计算器到最先进的超级计算机。例如，AND门是基础的，因为它体现了逻辑中合取的本质。当我们说“A AND B”时，意味着A和B都必须为真，这个陈述才为真。类似地，只有当所有输入都为高（或真）时，AND门才允许高（或真）输出。
The logic gate is a cornerstone of digital logic design and is used to build more complex structures such as multiplexers, decoders, registers, counters, and eventually, the central processing unit (CPU) of a computer. The ability to perform logical operations with high efficiency and reliability is what makes logic gates indispensable in the field of computing and digital electronics.
逻辑门是数字逻辑设计的基石，用来构建更复杂的结构，如多路复用器、解码器、寄存器、计数器，最终是计算机的中央处理器（CPU）。能够以高效率和可靠性执行逻辑运算是逻辑门在计算和数字电子领域不可或缺的原因。
逻辑门（Logic Gates）是数字电路的基本构建块，它们在计算机科学和电子工程中扮演着至关重要的角色。逻辑门之所以被称为“逻辑”门，是因为它们实现了布尔代数中的逻辑运算，这些运算在数学和逻辑推理中非常关键。布尔代数由乔治·布尔在19世纪中叶提出，为逻辑运算提供了一个代数框架。
The term "logic gate" is derived from the function these gates perform within circuits. They operate on one or more binary inputs to produce a single binary output, which is determined by a logical function based on the truth values of the inputs. This is akin to how a gate in a physical sense controls the passage of entities, allowing them to pass through only if certain conditions are met.
逻辑门的名称来源于它们在电路中的功能。它们对一个或多个二进制输入进行操作，产生一个单一的二进制输出，该输出由基于输入真值的逻辑函数决定。这类似于物理中的门控制实体的通过，只有在满足某些条件时才允许它们通过。
The "logic" in logic gates refers to the logical operations they represent. These operations are the foundation of Boolean algebra, a branch of algebra dealing with binary variables and logical operations. The seven basic logic gates are AND, OR, XOR, NOT, NAND, NOR, and XNOR, each corresponding to a specific Boolean operation:
逻辑门中的“逻辑”指的是它们所代表的逻辑运算。这些运算是布尔代数的基础，布尔代数是处理二进制变量和逻辑运算的代数分支。七个基本逻辑门是AND、OR、XOR、NOT、NAND、NOR和XNOR，每个都对应一个特定的布尔运算：
- AND gate outputs true if and only if all its inputs are true.
- OR gate outputs true if at least one of its inputs is true.
- XOR (Exclusive OR) gate outputs true if an odd number of its inputs are true.
- NOT (Inverter) gate outputs the opposite of its single input.
- NAND gate is the negation of an AND gate; it outputs false only if all its inputs are true.
- NOR gate is the negation of an OR gate; it outputs true only if all its inputs are false.
- XNOR (Exclusive NOR) gate outputs true only if an even number of its inputs are true.
AND门仅当所有输入都为真时输出真。
OR门只要至少有一个输入为真就输出真。
XOR（异或）门仅当奇数个输入为真时输出真。
NOT（非门）输出与其单个输入相反的值。
NAND门是AND门的否定；仅当所有输入都为真时输出假。
NOR门是OR门的否定；仅当所有输入都为假时输出真。
XNOR（同或）门仅当偶数个输入为真时输出真。
The design and operation of logic gates are crucial for constructing complex digital systems. They are used in everything from simple calculators to the most advanced supercomputers. The AND gate, for example, is fundamental because it embodies the essence of conjunction in logic. When we say "A AND B," we mean that both A and B must be true for the statement to hold true. Similarly, an AND gate only allows a high (or true) output when all its inputs are high (or true).
逻辑门的设计和操作对于构建复杂的数字系统至关重要。它们被用于从简单的计算器到最先进的超级计算机。例如，AND门是基础的，因为它体现了逻辑中合取的本质。当我们说“A AND B”时，意味着A和B都必须为真，这个陈述才为真。类似地，只有当所有输入都为高（或真）时，AND门才允许高（或真）输出。
The logic gate is a cornerstone of digital logic design and is used to build more complex structures such as multiplexers, decoders, registers, counters, and eventually, the central processing unit (CPU) of a computer. The ability to perform logical operations with high efficiency and reliability is what makes logic gates indispensable in the field of computing and digital electronics.
逻辑门是数字逻辑设计的基石，用来构建更复杂的结构，如多路复用器、解码器、寄存器、计数器，最终是计算机的中央处理器（CPU）。能够以高效率和可靠性执行逻辑运算是逻辑门在计算和数字电子领域不可或缺的原因。
2024-06-22 14:23:10
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Works at the International Committee of the Red Cross, Lives in Geneva, Switzerland.
There are seven basic logic gates: AND, OR, XOR, NOT, NAND, NOR, and XNOR. The AND gate is so named because, if 0 is called "false" and 1 is called "true," the gate acts in the same way as the logical "and" operator. The following illustration and table show the circuit symbol and logic combinations for an AND gate.Mar 6, 2018
2023-06-13 05:02:59
Harper Adams
QuesHub.com delivers expert answers and knowledge to you.
There are seven basic logic gates: AND, OR, XOR, NOT, NAND, NOR, and XNOR. The AND gate is so named because, if 0 is called "false" and 1 is called "true," the gate acts in the same way as the logical "and" operator. The following illustration and table show the circuit symbol and logic combinations for an AND gate.Mar 6, 2018
