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GATE | GATE-CS-2003 | Question 44

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?

(A)

2-40

(B)

2-9

(C)

222

(D)

231

Answer

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