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Binary to Denary

Going from base 2 to base 10 is as simple as multiplying the digits. For example the number 110010102 is calculated (using our base 2 table) as

(1 x 27) + (1 x 26) + (0 X 25) + (0 X 24) + (1 x 23) + (0 x 22) + (1 x 21) + ( 0 x 20)

= 128 + 64 + 0 + 0 + 8 + 0 + 2 + 0

= 20210

1

Example

What is 01101001 in base 10?

105Check your answer

If the last bit (binary digit) is 0 then it is an even number.

If the last bit is a 1 then it is an odd number.

Next: Denary to Hexadecimal