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The representation of a floation point binary number +1001.11 in 8 -bit fraction and 6-bit exponent formate is

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  1. Fraction : 01001110 exponent : 000100
  2. Fraction : 00001001 exponent : 000011
  3. Fraction : 10010000 exponent : 110000
  4. Fraction: 00100100 exponent :011000

Answer (Detailed Solution Below)

Option 1 : Fraction : 01001110 exponent : 000100
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Detailed Solution

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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

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