Question

The representation of a floation point binary number +1001.11 in 8 -bit fraction and 6-bit exponent formate is
1. Fraction : 01001110 exponent : 000100
2. Fraction : 00001001 exponent : 000011
3. Fraction : 10010000 exponent : 110000
4. Fraction: 00100100 exponent :011000

Answer 1

Correct Answer - Option 1 : Fraction : 01001110 exponent : 000100

Data:

6-bit exponent

8 -bit fraction

Calculation:

Since  +1001.11 is positive the sign bit = 1

(1001.11)₂ = (0.100111) × 2⁴ = (0.10011100) × 24

Fraction : (1001110)₂ = (01001110)₂

Exponent = (4)₁₀ = (100)₂ = (000100)₂

Therefore option 1 is correct