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Q142 (CISF/2021) Science & Technology › ICT, AI, Cybersecurity & Emerging Tech

Which one of the following is the equivalent decimal value of Hexadecimal number 4A9.2?

Explanation

To convert the hexadecimal number 4A9.2 to decimal, each digit is multiplied by 16 raised to the power of its position relative to the hexadecimal point:

1. Integer Part (4A9):
4 × 162 = 4 × 256 = 1024
A (which represents 10) × 161 = 10 × 16 = 160
9 × 160 = 9 × 1 = 9
Sum of integer part = 1024 + 160 + 9 = 1193

2. Fractional Part (.2):
2 × 16-1 = 2/16 = 1/8 = 0.125

Total Decimal Value:
1193 + 0.125 = 1193.125

Therefore, the hexadecimal number 4A9.2 is equivalent to the decimal value 1193.125, which corresponds to option B.

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