Hexadecimal to Base Ten Conversion

 

To convert a number from base 16 to base 10, you read it like this:


43 in base 16 = 4 X 16¹ + 3 X 16⁰ = 64 + 3 = 67 in base 10.

43_base16 = 67 _base10

Do the steps in this order

·      raise the base to the power

·      multiply the result by the place value

·      add the result for each place

·       

Remember that letters just stand for numbers between 10 and 15.

 

Example:

120_base16 = 1x16² + 2 x 16¹ + 0 x16⁰ =  256 + 32 + 0 = 288 _base10

 

 

Convert from base 16 to base 10:

1) 20 _base16                       2) 31 _base16                       3) 8 _base16                           4) C _base16

 

 

 

5) 50 _base16                       6) 10 _base16                       7) 100 _base16                   8) 2 _base16

 

 

 

9) EC _base16                     10) 7 _base16                       11) 2A _base16                 12) A7 _base16