The following binary and hexadecimal examples explain how these alternatives to the decimal-based number system function and behave. The base 10 number system. Let's begin to understand binary and ...

Decimal numbers between 100 and 109 would be represented in BCD by the actual number + 156 (26*6). Numbers between 110 and 119 convert to BCD values of the actual number + 156 + 6.

The following table shows the decimal values of binary numbers. Just as the largest value in a decimal number is all 9's, the largest value in a group of binary digits is all 1's.

To work out the decimal number we've stored here we just add these two numbers together. The binary number we have (00000011) represents 2 and 1, which add together to make 3.