Mumbai University > Computer Engineering > Sem 3 > Digital Logic Design & Analysis

Marks: 2M

Year: Dec15

1. The digital systems handle the decimal number in the form of binary coded decimal numbers (BCD).
2. A BCD adder is a circuit that adds two BCD digits and produces a sum digit also in BCD.

3. To implement BCD adder we require:

   • 4-bit binary adder for initial addition

   • Logic circuit to detect sum greater than 9

   • One more 4-bit adder to add $0110_{2}$ in the sum if sum is greater than 9 or carry is 1.

4. The logic circuit to detect sum greater than 9 can be determined by simplifying the Boolean expression of given truth Table.

1. Y=1 indicates sum is greater than 9. We can put one more term, $C_{out}$ in the above expression to check whether carry is one.

2. If any one condition is satisfied we add 6(0110) in the sum.

3. With this design information we can draw the block diagram of BCD adder, as shown in figure below.

1. As shown in the Fig, the two BCD numbers, together with input carry, are first added in the top 4-bit binary adder to produce a binary sum.

2. When the output carry is equal to zero (i.e. when sum <= 9 and $C_{out}$ = 0) nothing (zero) is added to the binary sum.

3. When it is equal to one (i.e. when sum > 9 or $C_{out}$ = 1), binary 0110 is added to the binary sum through the bottom 4-bit binary adder.

4. The output carry generated from the bottom binary adder can be ignored, since it supplies information already available at the output carry terminal.