The following is a scheme for floating point number representation using 16 bits.
Then the floating point number represented is:
(−1)s(1+m×2−9)2e−31 , if the exponent ≠111111
What is the minimum difference between two successive real numbers representable in this system?
Any help to solve this question is appreciated.
How changing the exponent gives the minimum difference can you please explain? Also how are they successive..
This (−1)s(1+m×2−9)2e−31 is valid only if the exponent ≠111111 and you have taken the value of e=111111.