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NIMCET 2017 Computer PYQ — The representation of a floation point binary number +1001.11 in … | Mathem Solvex | Mathem Solvex

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NIMCET 2017 — Computer PYQ

NIMCET | Computer | 2017

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

Choose the correct answer:

A.
Fraction : 01001110 exponent : 000100
(Correct Answer)
B.
Fraction : 00001001 exponent : 000011
C.
Fraction : 10010000 exponent : 110000
D.
Fraction: 00100100 exponent :011000

Correct Answer:

Fraction : 01001110 exponent : 000100

Explanation

Data:
6-bit exponent
8-bit fraction
Calculation:
Since +1001.11 is positive the sign bit = 1
$(1001.11)_{2} = (0.100111) \times 2^{4} = (0.10011100) \times 2^{4}$
Fraction : $(1001110)_{2} = (010001110)_{2}$
Exponent = $(4)_{10} = (100)_{2} = (000100)_{2}$

Explanation

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