Explain a simple method of how to convert a decimal number s

Explain a simple method of how to convert a decimal number such as 0.234 to base 60?

Solution

as given we need to convert the given decimal number 0.234 to base 60.

you can use the following method :

first multiply the fractional decimal number with 60 and take the whole number out

again multiply the new fraction with 60 and take the whole number out

and do the similar things till we do not have any fraction available

Now write the whole number which is available after each multiplication from top to bottom which is the base 60 representation of decimal base fraction number

now we have to convert 0.234 in decimal to base 60

0.234 * 60 = 14.04 => whole number is 14 and new fraction is 0.04

0.04 * 60 = 2.4 => whole number is 2 and fraction is 0.4

0.4 * 60 = 24 => whole number is 24 with no fraction.

hence write the whole numbers available after multiplication from top to bottom

we have,

0.234₁₀ = (14 2 24)₆₀