Subject: Mathematics

Topic: Conversion of Number in Base Ten to Number in Base Two (Binary Number)

To change a number in base ten (common base) to a number in base two (binary number) we divide the number by 2 and write down the remainder until you get Zero as dividend.

Example

Convert the following numbers in base 10 to numbers in base 2:

a) 9 (b) 8

Solution

2 9 b) 2 8

2 4 r 1 2 4 r 0

2 2 r 0 2 2 r 0

2 1 r 0 2 1 r 0

0 r 1 0 r 1

:. 9 = 1001two 8 = 1000two

Home-Work: Convert the following to binary number:

1) 16 2) 17 3) 15

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