In this video, the Half Adder and the Full Adder circuits are explained and, how to design a Full Adder circuit using Half adders is also explained.
Timestamps:
0:00 Half Adder Circuit
3:41 Full Adder Circuit
11:52 Full Adder using Half Adders
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Half Adder:
The Half Adder is the combinational circuit that adds the two bits and generates the Sum of two bits and Carry bit as an output.
The logic circuit of the Half adder consists of one two-input XOR gate (Sum output) and one AND gate (Carry Output).
The Boolean expression of Sum and Carry output of Half Adder:
S = A (XOR) B
C= AB
The half-adder circuit can add two one bits numbers, but if there is an incoming carry from the previous addition then it cannot be added using the Half adder.
Full Adder:
The Full-adder is the combinational circuit that adds the two bits and the incoming carry bit and generates the Sum bit and Carry bit as an output.
The Boolean expression of Sum and Carry output of Full Adder:
S = A (XOR) B (XOR) Cin
Cout= AB + BC + AC
Cout = AB + Cin [ A (XOR) B ]
The Full Adder circuit can be implemented using the two Half Adders and one OR gate. In this video, the design of Full Adder using Half Adders is also explained.
Digital Electronics (Playlist):
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This video will be helpful to all the students of science and engineering in understanding the Half Adder and Full Adder Circuits, and how to design a Full Adder using Half Adders.
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