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BCD addition and Decimal Arithmetic
Refer complete digital basics tutorial
In BCD addition of two numbers involve following rules:-
1. Maximum value of the sum for two digits = 9 (max digit 1) + 9 (max digit 2) +
1 (previous addition carry) = 19
2. If sum of two BCD digits is less than or equal to 9 (1001) without carry then
the result is a correct BCD number.
3. If sum of two BCD digits is greater than or equal to 10 (1010) the result is in-correct
BCD number. Perform steps 4 for correct BCD sum.
4. Add 6 (0110) to the result.
Examples:- BCD Addition
Add 599 and 984 using BCD numbers
Answer. Result of BCD addition is 1583
Nice plot for above calculations below:
Binary Sum 1, 2 and 3 are greater than 1010.
So, from Step 3 and 4 add ‘6’ to the sum.
BCD Coding and addition examples
Introduction to BCD :-
> BCD stands for Binary Encoded Digital. In BCD every decimal number is represented
by four binary bits.
> 190 in decimal is equivalent to 0001 1001 0000 in binary encoded decimal
> 0 to 9 in decimal can be represented in binary using four digits and all integers
can be represented by these 10 digits.
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