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2.1 A LITTLE CONVERSION

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So how do we convert from decimal to binary numbers? Sure you could

write out a table like above and check it to get the binary value

you want but what if your looking for a value for a number like

1275, good look writing a table up to 10011111011 or we could just

use the good old repeated division of 2 method. This works by

repeatedly dividing the decimal number by 2 and if its an even number

record a 0, if its an odd record a 1. Say for example we wanted to

convert 57 to binary:



2/57 remainder = 1

= 28



2/28 remainder = 0

= 14



2/14 remainder = 0

= 7



 2/7 remainder = 1

= 3



 2/3 remainder = 1

= 1



 2/1 remainder = 1

= 0



Now if we put those remainders alongside eachother starting from the

bottom up we get 111001, which is 57 in binary.