Subject: Mathematics

Topic: The Binary Number System

Example: Change the following numbers in base two to two to base 10

I ) 1111two ii) 1101two

Solution

I ) 1111two = 1 × + 1 × + 1 × + 1 ×

= 1 × 8 + 1 × 4 + 1 × 2 + 1× 1

= 8 + 4 + 2 + 1

:. 1111two = 15 ten

ii) 1101two = 1 × + 1 × + 0 × + 1 ×

= 1 × 8 + 1 × 4 + 0 × 2 + 1 × 1

= 8 + 4 + 0 + 1

:. 1101two = 13ten

Home-Work: Write the following numbers in base 2 in numbers in base 10:

1 ) 1001 2) 011101 3) 1110

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