Which of the following values cannot be stored accurately using a floating-point format in which the most significant bit is the sign bit,the next three bits represent the exponent field in excess notation,and the last four bits represent the mantissa?
A) 2 1/2
B) 3/16
C) 7
D) 6 1/4

Question

Quizplus · Accepted Answer

In this format, the exponent field can range from -4 to +3 in excess notation. 
A) 2 1/2 can be represented as 10.1 in this format (+1 for the exponent, +0.5 for the mantissa).
B) 3/16 can be represented as 0.0011 in this format (-4 for the exponent, +0.1875 for the mantissa).
C) 7 can be represented as 111.0 in this format (+3 for the exponent, +0 for the mantissa).
D) 6 1/4 can be represented as 110.01 in this format (+2 for the exponent, +0.25 for the mantissa). 
However, the value 6 1/4 in decimal is 6.25, and 0.25 cannot be represented accurately with only 4 bits for the mantissa. Therefore, the answer is D.

Which of the Following Values Cannot Be Stored Accurately Using