One’s complement operation: What is the 1’s complement of the binary number 11010₂?

Introduction / Context:One’s complement is a bitwise inversion operation used in certain number representations and checksums. It flips every bit: 1 becomes 0 and 0 becomes 1. Understanding this simple transform helps with error detection logic and legacy signed representations.

Given Data / Assumptions:

• Input: 11010₂.
• Operation: 1’s complement (bitwise NOT).
• All bits are inverted independently.

Concept / Approach:Apply NOT to each bit position: for a sequence bₙ…b₂ b₁ b₀, produce (~bₙ)…(~b₀). There is no carry or arithmetic—just inversion of each bit value.

Step-by-Step Solution:Start: 1 1 0 1 0.Invert each bit: 0 0 1 0 1.Result: 00101₂.

Verification / Alternative check:Check by re-inverting: NOT(00101₂) = 11010₂, confirming correctness.

Why Other Options Are Wrong:00010 and 00110 represent partial inversions. 11101 is unrelated; it is not the bitwise inverse of 11010.

Common Pitfalls:Confusing 1’s complement (bitwise invert) with 2’s complement (invert then add 1). Also, forgetting to maintain the original bit-width when presenting results.

Final Answer:00101