tion 7 What is the base-10 equivalent of the real number stored in single precis

Question

tion 7 What is the base-10 equivalent of the real number stored in single precision according to the IEEE standard, as shown below? Assume there is one sign bit, a bias of 127, an 8 bit exponent, and a 23 bit fraction. Report your answer to four decimal places. rect 000 out of 001111110 10100000000000000000000 lag question Answer 3.5 The correct answer is: 0.8125

Explanation / Answer

0 01111110 10100000000000000000000 sign bit 0 (+ve) exp bits 01111110 => in decimal 126 frac bits => 10100000000000000000000 0 01111110 10100000000000000000000 in decimal is +1.101 * 2^-1 => +0.1101 in binary 0.1101 => 0.5 + 0.25 + 0.0625 => 0.8125 in decimal so, 0 01111110 10100000000000000000000 in decimal is 0.8125

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