# Homework Solution: Consider the largest single precision floating point number,…

Floating Point “Question” 1)Consider the largest single precision floating point number, 1.11…1 x 2127. What will happen the “gap” at that number if you change the type to double precision? DO NOT discuss the largest double precision number – just the largest single precision represented as a double type. 2)Now, consider the smallest single precision floating point number, 2-149. What will happen the “gap” at that number if you change the type to double precision? DO NOT discuss the smallest double precision number – just the largest single precision represented as a double type.

Solution: 1) Before proceeding let's discuss double precision an

Unarranged Subject-matter “Question”

1)Deem the largest one nicety unarranged subject-matter enumerate, 1.11…1 x 2127. What achieve bechance the “gap” at that enumerate if you modify the premonition to wrap nicety? DO NOT sift-canvass the largest wrap nicety enumerate – fair the largest one nicety represented as a wrap premonition.

2)Now, deem the lowest one nicety unarranged subject-matter enumerate, 2-149. What achieve bechance the “gap” at that enumerate if you modify the premonition to wrap nicety? DO NOT sift-canvass the lowest wrap nicety enumerate – fair the largest one nicety represented as a wrap premonition.

## Expert Retort

Solution:

1)

Before transaction let’s sift-canvass wrap nicety and how the premonition, advocate, and Mantissa is categorized in it.

So wrap nicety is 64-bit unarranged subject-matter and the details are given below:

So when largest one nicety enumerate achieve be represented as wrap nicety it achieve behold enjoy this,

 Sign Biased Advocate Mantissa 0 10001111110 1111111111111111111111100000000000000000000000000000

So the Bias restraint wrap nicety enumerate is +1023