Deep Dive: E7A09
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.
Why Other Answers 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.
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 Example
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.
Source & Coverage
Question Pool: 2024-2028 Question Pool
Subelement: E7A
Reference: 2024-2028 Question Pool · E7 - Practical Circuits
Key Concepts
Verified Content
Question from the official FCC Extra Class pool. Explanation reviewed by licensed amateur radio operators and mapped to the E7A topic.