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Q124 (CAPF/2026) Science & Technology › ICT, AI, Cybersecurity & Emerging Tech

The binary multiplication of the numbers 12 and 10 will be

Result
Your answer: —  ·  Correct: A

Explanation

To find the binary multiplication of 12 and 10, we can multiply the decimal numbers first and then convert the product to binary, or convert each number to binary and multiply them.

  1. Decimal Multiplication: 12 × 10 = 120.
  2. Convert 120 to Binary:
    • 120 ÷ 2 = 60, remainder 0
    • 60 ÷ 2 = 30, remainder 0
    • 30 ÷ 2 = 15, remainder 0
    • 15 ÷ 2 = 7, remainder 1
    • 7 ÷ 2 = 3, remainder 1
    • 3 ÷ 2 = 1, remainder 1
    • 1 ÷ 2 = 0, remainder 1
    Reading the remainders from bottom to top, we get 1111000.

Alternatively, converting the numbers first: 12 in binary is 11002 and 10 is 10102. Multiplying 1100 × 1010 in binary arithmetic yields 1111000.

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