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Question 8400 – GATE 2015 [Set-3]
January 2, 2024
Question 8160 – GATE 2015 [Set-1]
January 2, 2024
Question 8400 – GATE 2015 [Set-3]
January 2, 2024
Question 8160 – GATE 2015 [Set-1]
January 2, 2024

Number-Systems

Question 10

Consider the following floating point number representation

The exponent is in 2’s complement representation and mantissa is in the sign magnitude representation. The range of the magnitude of the normalized numbers in this representation is

A
0 to 1
B
0.5 to 1
C
2-23 to 0.5
D
0.5 to (1-2-23)
Question 10 Explanation: 
Maximum value of mantissa will be 23, is where a decimal point is assumed before first 1. So the value is 1 – 2-23.
Correct Answer: D
Question 10 Explanation: 
Maximum value of mantissa will be 23, is where a decimal point is assumed before first 1. So the value is 1 – 2-23.
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