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Q146 (CISF/2022) Science & Technology › ICT, AI, Cybersecurity & Emerging Tech

The result of binary subtraction between 1001 and 101 is :

Explanation

Binary subtraction follows specific rules: 0 - 0 = 0, 1 - 1 = 0, 1 - 0 = 1, and 0 - 1 = 1 (with a borrow of 1 from the next higher bit). To solve 1001 - 101:

  • Step 1: Rightmost column (20): 1 - 1 = 0.
  • Step 2: Second column (21): 0 - 0 = 0.
  • Step 3: Third column (22): 0 - 1. We borrow from the fourth column (23). The 1 at 23 becomes 0, and the 0 at 22 becomes 102 (which is 2 in decimal). Now, 2 - 1 = 1.
  • Step 4: The result is 100.

Verification using decimal conversion: 10012 is 910 and 1012 is 510. Since 9 - 5 = 4, and 4 in binary is 1002, the answer is confirmed.

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