1Find the internal representation of the following decimal n

1.Find the internal representation of the following decimal number in the Single Precision Floating Point format. Non-terminating fraction should be carried out 6 places. You need to show all of your work and label EVERYTHING for full credit. Your final answer must be in Hexadecimal notation.

-33.6

Solution

FIrst of all convert th front part

33/16 = 2

Remainder is 1

Hence 33 in decimal will be converted into 21 into hexadecimal

10/16 = 0.625

Hence the first decimal unit must be 9

0.6 = 9/16 + number-left

0.0375 = p/16^2

p = 9.6

so we again keep a 9, similarly go on following this product

the number will be stored in the form

hexadecimal number = -21.999999

Number representation will be

1 00000021 99999900000000000000000

1 represrnts negative number

21 represents 33 in decimal

999999 represents 0.6 in decimal format