The following is a scheme for floating point number representation using 16…

GATE · 2003 · CS

The following is a scheme for floating point number representation using 16 bits. 

Bit position 15           14 . . . 9            8 . . . . .0
       s                      e                      m
     Sign                  Exponent               Mantissa

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:

GATECS2009Q43

What is the maximum difference between two successive real numbers representable in this system?

  1. A.

    2−40

  2. B.

    2-9

  3. C.

    222

  4. D.

    231

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