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Half-Adder: A combinational circuit which adds two one-bit binary numbers is called a half-adder. The sum column resembles like an output of the XOR gate.

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Presentation on theme: "Half-Adder: A combinational circuit which adds two one-bit binary numbers is called a half-adder. The sum column resembles like an output of the XOR gate."— Presentation transcript:

1 Half-Adder: A combinational circuit which adds two one-bit binary numbers is called a half-adder. The sum column resembles like an output of the XOR gate. The carry column resembles like an output of the AND gate.

2 Limitations (disadvantages) of half-adder:
In multi-digit addition we have to add two bits along with the carry of previous digit addition. Such addition requires addition of 3 bits. This is not possible in half-adders.

3 Full Adder: In a full adder, three bits can be added at a time. The third bit is a carry from a less significant column.

4 Alternate Representation of Full-Adder:

5 Parallel Binary Adder While we add the LSB, there is no carry to be handled and thus, only a half adder is used for this stage. For any other bit addition, there may be a carry from the preceding stage and thus, full adders are used for these stages.

6 Example:


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