Which of the following values is the correct value of this hexadecimal code…

2022

Which of the following values is the correct value of this hexadecimal code 1F.01B?

  1. A.

    35.0065918

  2. B.

    32.0065918

  3. C.

    31.0065918

  4. D.

    30.0065918

Attempted by 160 students.

Show answer & explanation

Correct answer: C

To convert from Hexadecimal (Base-16) to Decimal (Base-10), we multiply each digit by 16 raised to the power of its position relative to the hexadecimal point.

1. Integer Part (1F)

Working from right to left starting at the hexadecimal point:

  • F (which is 15 in decimal)x161 = 15x1 = 15

  • 1x161 = 1x16 = 16

  • Total Integer: 16 + 15 = 31

2. Fractional Part (.01B)

Working from left to right after the hexadecimal point:

  • 0x16-1 = 0x0.0625 = 0

  • 1x16-2 = 1x0.00390625 = 0.00390625

  • B (which is 11 in decimal)x16-3 = 11x0.00024414 = 0.00268554

  • Total Fraction: 0 + 0.00390625 + 0.00268554 = 0.0065918

Final Result

31 + 0.0065918 = 31.0065918

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