What logical operation is performed by a two-input exclusive NOR gate?
The correct answer is C: It produces a 0 at its output if one and only one of its inputs is 1. What logical operation is performed by a two-input exclusive NOR gate is that it produces a 0 at its output if one and only one of its inputs is 1. XNOR is the inverse of XOR, so output is 0 when inputs differ. For amateur radio operators, this is important for digital circuits. Understanding this helps when working with logic gates.
Exam Tip
XNOR gate operation = produces 0 if one and only one input is 1. Think 'X'NOR = 'X'OR 'N'OT (0 when inputs differ). XNOR is the inverse of XOR, so output is 0 when inputs differ. Not all 0, not produces 1, not XOR (produces 1) - just 0 when inputs differ.
Memory Aid
"XNOR gate operation = produces 0 if one and only one input is 1. Think 'X'NOR = '0' when inputs differ. XNOR is the inverse of XOR, so output is 0 when inputs differ. Important for digital circuits."
Real-World Application
A two-input exclusive NOR gate: It produces a 0 at its output if one and only one of its inputs is 1. XNOR is the inverse of XOR - when inputs differ, output is 0. This is the operation - 0 when inputs differ.
Key Concepts
Why Other Options Are Wrong
Option A: Incorrect. Producing 0 only if all inputs are 0 isn't XNOR - XNOR produces 0 when inputs differ. All inputs 0 isn't XNOR.
Option B: Incorrect. Producing 1 only if all inputs are 1 isn't XNOR - XNOR produces 0 when inputs differ. Producing 1 isn't XNOR.
Option D: Incorrect. Producing 1 if one and only one input is 1 isn't XNOR - that's XOR. XNOR produces 0 when inputs differ. Producing 1 isn't XNOR.
题目解析
The correct answer is C: It produces a 0 at its output if one and only one of its inputs is 1. What logical operation is performed by a two-input exclusive NOR gate is that it produces a 0 at its output if one and only one of its inputs is 1. XNOR is the inverse of XOR, so output is 0 when inputs differ. For amateur radio operators, this is important for digital circuits. Understanding this helps when working with logic gates.
考试技巧
XNOR gate operation = produces 0 if one and only one input is 1. Think 'X'NOR = 'X'OR 'N'OT (0 when inputs differ). XNOR is the inverse of XOR, so output is 0 when inputs differ. Not all 0, not produces 1, not XOR (produces 1) - just 0 when inputs differ.
记忆口诀
XNOR gate operation = produces 0 if one and only one input is 1. Think 'X'NOR = '0' when inputs differ. XNOR is the inverse of XOR, so output is 0 when inputs differ. Important for digital circuits.
实际应用示例
A two-input exclusive NOR gate: It produces a 0 at its output if one and only one of its inputs is 1. XNOR is the inverse of XOR - when inputs differ, output is 0. This is the operation - 0 when inputs differ.
错误选项分析
Option A: Incorrect. Producing 0 only if all inputs are 0 isn't XNOR - XNOR produces 0 when inputs differ. All inputs 0 isn't XNOR. Option B: Incorrect. Producing 1 only if all inputs are 1 isn't XNOR - XNOR produces 0 when inputs differ. Producing 1 isn't XNOR. Option D: Incorrect. Producing 1 if one and only one input is 1 isn't XNOR - that's XOR. XNOR produces 0 when inputs differ. Producing 1 isn't XNOR.
知识点
Logical operation, Two-input exclusive NOR gate, XNOR, Produces 0, If one and only one input is 1
Verified Content
Question from official FCC Extra Class question pool. Explanation reviewed by licensed amateur radio operators.