ITPEC FE Subject A April 2024 Question 1
ITPEC FE Subject A April 2024 — Question 1 of 60
Hexadecimal to Decimal Conversion — convert hex 123.4 to decimal.
Integer part: 1×16² + 2×16¹ + 3×16⁰
- 256 + 32 + 3 = 291
Fractional part: 4 × 16⁻¹
- 4 / 16 = 0.25
Result: 291 + 0.25 = 291.25 → (c)
Why not others:
- (a) 83.25 / (b) 83.5 — wrong base (treating hex digits as octal)
- (d) 291.5 — integer part correct, but fractional error (0.5 would require digit 8)
Key rule: For fractional hex digits, use negative powers of 16: first digit after dot is × 16⁻¹, second is × 16⁻², etc.
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