Binary fundamentals: What is the 4-bit binary representation of decimal number 10?

Introduction / Context:Decimal-to-binary conversion underpins all digital design, from addressing to arithmetic. Quick mental conversion is invaluable for debugging and hardware design.

Given Data / Assumptions:

• Decimal value: 10.
• Target width: 4 bits (sufficient because 10 < 16).

Concept / Approach:Express 10 as a sum of powers of two: 8 + 2. Set the bits corresponding to 8 (2^3) and 2 (2^1).

Step-by-Step Solution:

Verification / Alternative check:1010₂ = (18) + (04) + (12) + (01) = 10₁₀.

Why Other Options Are Wrong:

Common Pitfalls:

Final Answer: