Question

How will you convert a decimal fraction into its hexadecimal form by a process Of

repeated division and repeated multiplication

Answer 1

to make a fraction a decimal you have to divide the denominator and the numerator

Answer 2

To convert a decimal fraction into hexadecimal form follow this steps:

• Divide the decimal number by 16
• multiply the remainder i.e the number that appears after the decimal point of the result you got from step 1 by 16
• repeat the process until you get a decimal result of 0
• the hexadecimal form will be the results gotten from step 2 starting from bottom to the top.

Step-by-step explanation:

Example: convert 2210 decimal to hexadecimal

step 1 :

2210 / 16 = 138.125 this means that the new decimal will be 138 and the remainder is 0.125

step 2 :

multiply .125 by 16 = 2

repeat step 1:

138 / 16 = 8.625 this means the new decimal is 8 and the remainder is 0.625

repeat step 2:

multiply .625 by 16 = 10

Repeat step 1 and step 2 until the new decimal becomes 0 then you can stop and then write out your result from steps 2 from bottom upwards to get the hexadecimal equivalent of 2210 decimal.