The following is a scheme for floating point number representations using 16 bits: s (1) e (6) m (9) Let s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields...


The following is a scheme for floating point<br>number representations using 16 bits:<br>s (1)<br>e (6)<br>m (9)<br>Let s, e, and m be the numbers represented<br>in binary in the sign, exponent, and mantissa<br>fields respectively. Then the floating point<br>number represented is<br>(- 1)° (1 + m × 2 °) 2°-31,<br>if the exponent # 111111.<br>0, otherwise<br>What is the maximum difference between<br>two successive real numbers representable<br>in this system?<br>

Extracted text: The following is a scheme for floating point number representations using 16 bits: s (1) e (6) m (9) Let s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is (- 1)° (1 + m × 2 °) 2°-31, if the exponent # 111111. 0, otherwise What is the maximum difference between two successive real numbers representable in this system?

Jun 08, 2022
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