Digital Electronics — For a 4-input logic gate, how many distinct binary input combinations (covering every 0/1 state across all four inputs) are possible?

Introduction:
Digital logic gates respond to all possible binary input patterns. For a gate with n inputs, every input can be 0 or 1, so the total number of distinct input combinations equals the count of all 0/1 sequences of length n. This question checks your grasp of that fundamental counting idea for a 4-input gate.

Given Data / Assumptions:

• Number of inputs n = 4
• Each input can be 0 or 1 only
• We assume ideal binary logic without undefined or high-impedance states

Concept / Approach:
The number of binary strings of length n is 2^n because each position has 2 choices (0 or 1) and choices multiply across positions. This applies regardless of the specific gate type (AND, OR, XOR, etc.); the gate type affects outputs, not the count of input patterns.

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