Question 4804 – UGC NET CS 2014 Dec-Paper-2

The range of representable normalized numbers in the floating point binary fractional representation in a 32-bit word with 1-bit sign, 8-bit excess 128 biased exponent and 23-bit mantissa is

Correct Answer: D

Question 9 Explanation:

The range of representable normalized numbers in the floating point binary fractional representation in a 32-bit word with 1-bit sign, 8-bit excess 128 biased exponent and 23-bit mantissa is 2 ^–129 to (1 – 2^–23 ) * 2¹²⁷

2 ^-128 to (1 – 2^–23 ) * 2¹²⁷

(1 – 2 ^–23 ) * 2 ^-127 to 2 ¹²⁸

(1 – 2 ^–23 ) * 2^–127 to 2^23>

2 ^–129 to (1 – 2^–23 ) * 2¹²⁷

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