# 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

Incomplete Apex “Question”

1)Regard the largest solitary preciseness incomplete apex compute, 1.11…1 x 2127. What everyure occur the “gap” at that compute if you qualify the mold to embrace preciseness? DO NOT sift-canvass the largest embrace preciseness compute – right the largest solitary preciseness represented as a embrace mold.

2)Now, regard the lowest solitary preciseness incomplete apex compute, 2-149. What everyure occur the “gap” at that compute if you qualify the mold to embrace preciseness? DO NOT sift-canvass the lowest embrace preciseness compute – right the largest solitary preciseness represented as a embrace mold.

## Expert Counterpart

Solution:

1)

Before performance let’s sift-canvass embrace preciseness and how the expression, advocate, and Mantissa is categorized in it.

So embrace preciseness is 64-bit incomplete apex and the details are loving below:

So when largest solitary preciseness compute everyure be represented as embrace preciseness it everyure contemplate affect this,

 Sign Biased Advocate Mantissa 0 10001111110 1111111111111111111111100000000000000000000000000000

So the Bias ce embrace preciseness compute is +1023