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Q143 (CISF/2025) Science & Technology › ICT, AI, Cybersecurity & Emerging Tech

What is the representation of -59 in the 2's complement form ?

Explanation

To find the 2's complement representation of a negative number like -59, follow these steps:

  1. Find the binary of the positive number (+59): 59 in 8-bit binary is 00111011.
  2. Find the 1's complement: Invert all the bits (change 0s to 1s and 1s to 0s). 00111011 becomes 11000100.
  3. Find the 2's complement: Add 1 to the 1's complement result. 11000100 + 1 = 11000101.

Therefore, the 2's complement representation of -59 is 11000101. Option B represents the positive value (+59), and Option A represents only the 1's complement of 59.

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