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4. Consider a normalized floating point number system with b = 2, p = 3, L...

4. Consider a normalized floating point number system with b = 2, p = 3, L = –2 and U = 2. (a) Find how many different numbers can be represented in this system. (b) Compute the underflow and overflow levels for the system, as well as its machine precision. (c) Plot all the numbers in this system in a horizontal line (in decimal format) Using Matlab.

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Answer #1

solution:

Considering a normalized floating point number system with b = 2, p = 3, L = -2 and U =2,

where b is base, p is percision and [ L , U] is the range of exponent.

a. The total number can be represented in the system is given by,

b.

The underflow for the system is given by :

UFL =

UFL =

UFL = 0.25

The overflow for the system is given by:

OFL =

OFL =

OFL = 7

Machine Precision is expressed in two formats:

  • Rounding by chopping

  • Rounding to nearest   

c. Plot for the numbers in the above system in a horizontal line (in decimal format) using MATLAB

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​​​​​​​please give me thumb up

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