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 |
Then the floating point number represented is:
(−1)s(1+m×2−9)2e−31 , if the exponent ≠111111
0, otherwise
What is the minimum difference between two successive real numbers representable in this system?
Any help to solve this question is appreciated.