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Logic gates are the fundamental components of all digital circuits and systems. They perform logical operations on one or more binary inputs to produce a single binary output. The primary types of logic gates include AND, OR, NOT, NAND, NOR, XOR, and XNOR gates12.
Basic Logic Gates
AND Gate
The AND gate performs logical multiplication. It produces a high output (1) only when all its inputs are high (1). The Boolean expression for a two-input AND gate is: [ Z = A \cdot B ] The truth table for a two-input AND gate is:
A | B | A AND B--|---|--------0 | 0 | 00 | 1 | 01 | 0 | 01 | 1 | 1OR Gate
The OR gate performs logical addition. It produces a high output (1) if at least one of its inputs is high (1). The Boolean expression for a two-input OR gate is: [ Z = A + B ] The truth table for a two-input OR gate is:
A | B | A OR B--|---|-------0 | 0 | 00 | 1 | 11 | 0 | 11 | 1 | 1NOT Gate
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