- 2080 Bhadra · 1.5 marks
Convert (26.75)₁₀ to binary
Short answer
Repeatedly divide integer part 26 by 2, reading remainders upward to get 11010; multiply fraction 0.75 by 2, taking integer parts for .11. Combining gives (11010.11)₂.
Convert (26.75)₁₀ = (?)₂.
Integer: 26 ÷ 2 = 13 r0, 13 ÷ 2 = 6 r1, 6 ÷ 2 = 3 r0, 3 ÷ 2 = 1 r1, 1 ÷ 2 = 0 r1 → read upwards: .
Fraction: 0.75 × 2 = 1.5 → 1; 0.5 × 2 = 1.0 → 1 → .
Answer:
✓ Answer checked by Claude Opus 5.5 (high effort)
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