ITPEC FE Subject A April 2025 Question 2
ITPEC FE Subject A April 2025 — Question 2 of 60
Decimal-to-Binary Conversion — convert 23.375 to binary.
Integer part 23:
- 23 = 16 + 4 + 2 + 1 → 10111
Fractional part 0.375:
- 0.375 × 2 = 0.75 → 0
- 0.75 × 2 = 1.5 → 1
- 0.5 × 2 = 1.0 → 1
- Result: .011
Full binary: 10111.011 = 23.375
Why not others:
- (b) 10111.110 — fractional part .110 = 0.75, not 0.375
- (c) 11101.011 — integer part 11101 = 29, not 23
- (d) 11101.110 — both integer and fractional parts are wrong
Key rule: For integer part, divide by 2 and collect remainders bottom-up. For fractional part, multiply by 2 and collect integer parts top-down.
AI-generated — may contain errors
The original exam layout is preserved in the image so diagrams, formulas, tables, and code remain accurate.
This question comes from an official ITPEC past paper. ITPEC Practice is an independent study tool and is not affiliated with ITPEC. See the official FE past-paper collection or Report an issue.