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Q85 (CISF/2024) Science & Technology › ICT, AI, Cybersecurity & Emerging Tech

The decimal value of 4A9-2B is

Explanation

To convert the hexadecimal number 4A9.2B16 (where the hyphen in the question represents the radix point) to its decimal equivalent, we calculate the sum of each digit multiplied by its positional power of 16:

  • Integer Part (4A9):
    (4 × 162) + (10 × 161) + (9 × 160)
    = (4 × 256) + (10 × 16) + (9 × 1)
    = 1024 + 160 + 9 = 1193
  • Fractional Part (.2B):
    (2 × 16-1) + (11 × 16-2)
    = (2/16) + (11/256)
    = 0.125 + 0.04296875 = 0.16796875

Combining the two parts gives 1193.16796875. Truncating to four decimal places as per the options, we get 1193.1679, which matches Option A.

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