- Serial Adder Circuit Using Shift Register
- Serial Adder Circuit Diagram
- Design A Synchronous Serial Adder Circuit
- Serial Adder
- Serial Adder And Parallel Adder Circuit
The serial binary adder or bit-serial adder is a digital circuit that performs binaryaddition bit by bit. The serial full adder has three single-bit inputs for the numbers to be added and the carry in. There are two single-bit outputs for the sum and carry out. The carry-in signal is the previously calculated carry-out signal. The addition is performed by adding each bit, lowest to highest, one per clock cycle.
The serial adder is a digital circuit in which bits are added a pair at a time. Fig: Block Diagram for Serial Adder. Let A and B be two unsigned numbers to be added to produce Sum = A + B. In this we are using three shift registers which are used to hold A, B and Sum.
Serial binary addition[edit]
Serial binary addition is done by a flip-flop and a full adder. The flip-flop takes the carry-out signal on each clock cycle and provides its value as the carry-in signal on the next clock cycle. After all of the bits of the input operands have arrived, all of the bits of the sum have come out of the sum output.
Serial binary subtracter[edit]
The serial binary subtracter operates the same as the serial binary adder, except the subtracted number is converted to its two's complement before being added. Alternatively, the number to be subtracted is converted to its ones' complement, by inverting its bits, and the carry flip-flop is initialized to a 1 instead of to 0 as in addition. The ones' complement plus the 1 is the two's complement.
Example of operation[edit]
- X=5, Y=9, Sum=14
- Binary
- 0101+1001=1110
- Addition of each step
| Inputs | Outputs | |||
|---|---|---|---|---|
| Cin | X | Y | Sum | Cout |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 | 0 |
| 0 | 0 | 1 | 1 | 0 |
*addition starts from lowest
- Result=1110 or 14
See also[edit]
References[edit]
Further reading[edit]
External links[edit]
Serial Adder Circuit Using Shift Register
- Interactive Serial Adder, Provides the visual logic of the Serial Adder circuit built with Teahlab's Simulator.
Are binary adder and parallel adder same thing? I couldn't find any information about parellel adder in my book. Does anybody have an idea?
Serial Adder Circuit Diagram
2 Answers
$begingroup$
There is a distinction between parallel adder vs serial adder. Both are binary adders, of course, since are used on bit-represented numbers. Parallel adder is a combinatorial circuit (not clocked, does not have any memory and feedback) adding every bit position of the operands in the same time. Thus it is requiring number of bit-adders(full adders + 1 half adder) equal to the number of bits to be added.
(The image taken from here)
Serial adder is a sequential circuit, consisting of a flip-flop and a full adder. At each clock cycle, it is taking the result of the previous bit addition result carry stored in the flip-flop, calculating the sum result and storing the carry to the flipflop for the next calculation. In this manner, the input data have to be fed serially, synchronized by the clock, and the result is read serially as well.
(The image taken from here)
Design A Synchronous Serial Adder Circuit
Here is the first result on Google Image Search for Parallel Adder:
and here is one of the first results for Binary Adder:
I would say that these are the same.
Greg d'EonGreg d'Eon