Consider the unsigned 8-bit fixed point binary number representation below

Consider the unsigned 8-bit fixed point binary number representation below

Q. Consider the unsigned 8-bit fixed point binary number representation below,

b7 b6 b5 b4 b3 b2 b1 b0

Where the position of the binary point is between b3 and b2. Assume b7 is the most significant bit. Some of the decimal numbers listed below cannot be represented exactly in the above representation:

(i)       31.500      (ii)    0.875     (iii) 12.100      (iv) 3.001

A. None of (i), (ii), (iii), (iv) can be exactly represented

B. Only (ii) cannot be exactly represented

C. Only (iii) and (iv) cannot be exactly represented

D. Only (i) and (ii) cannot be exactly represented

Ans: Only (iii) and (iv) cannot be exactly represented

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