1's complement operation: What is the 1's complement of the binary number 11100110?

Difficulty: Easy

Correct Answer: 00011001

Explanation:


Introduction / Context:
One's complement is an earlier method of representing signed numbers. It is also a useful digital operation for bit manipulation, where each bit is inverted. This question reinforces knowledge of bitwise inversion.


Given Data / Assumptions:

  • Binary input: 11100110.
  • Word length: 8 bits.


Concept / Approach:
1's complement means flipping every bit: 1→0 and 0→1. This gives the bitwise NOT of the binary number.


Step-by-Step Solution:

Original: 11100110.Invert each bit: 00011001.Final result: 00011001.


Verification / Alternative check:
Check bit counts: original has 5 ones, complement has 3 ones. Together, all 8 bits covered.


Why Other Options Are Wrong:

10000001: only changes some bits, not full complement.00011010: would be the 2's complement of 11100110, not 1's complement.00000000: only if input was 11111111.11111111: only if input was 00000000.


Common Pitfalls:

Confusing 1's complement with 2's complement (extra +1 step).


Final Answer:

00011001

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