Decoder sizing — number of outputs for a 6-bit binary input If a binary decoder accepts a 6-bit input (values 0–63), how many distinct output lines are available in a fully decoded one-of-N arrangement?

Introduction / Context:
Binary decoders map an n-bit input to one-of-2^n outputs, activating exactly one output for each input code. Properly sizing decoders is fundamental when designing address decoders, channel selectors, and state decoders.

Given Data / Assumptions:

• Number of input bits n = 6.
• Fully decoded, one-hot output behavior.
• No invalid codes because all 6-bit combinations are valid (0–63).

Concept / Approach:
The number of outputs in a full binary decoder equals 2^n. With n = 6, 2^6 = 64 outputs. Each output corresponds to one unique input value; only that line is asserted at any given time.

Step-by-Step Solution:

Verification / Alternative check:
Compare with common decoder families: 3-to-8 (2^3), 4-to-16 (2^4). Extending the pattern to 6 bits yields 64 outputs.

Why Other Options Are Wrong:

• 16 and 32 correspond to 4-bit and 5-bit decoders.
• 128 corresponds to 7-bit decoding.

Common Pitfalls:
Confusing a BCD-to-decimal decoder (10 outputs) with a full binary decoder (2^n outputs).

Final Answer:
64