How will you convert a decimal fraction into its hexadecimal form by a process of repeated division and repeated multiplication

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

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

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.

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