Half Subtractor and Full Subtractor Explained 

In this video, the Half Subtractor and Full Subtractor are explained in detail.
By watching this video, you will learn what is half and full subtractors and how to implement a full subtractor using half subtractors.
Timestamps:
0:00 Half Subtractor
3:34 Full Subtractor
11:11 Full Subtractor using Half Subtractors
What is Half Subtractor?
It is the combinational circuit that performs the subtraction of two input bits and generates the difference and borrow bits as an output.
The logic circuit of the Half subtractor consists of one two-input XOR gate (Difference output) and, one AND gate and NOT gate (Borrow Output).
The Boolean expression of Difference and Borrow output of Half Subtractor:
D = A (XOR) B (The difference output)
B = A'B. (The borrow output)
The half-subtractor circuit can perform the subtraction of two one-bit numbers without any borrow input. It is suitable for the subtraction of the two one-bit numbers at the LSB positions.
Full Subtractor:
The Full-subtractor is the combinational circuit that performs the subtraction of two input bits and the incoming borrow bit and generates the difference and the borrow bits as an output.
The Boolean expression of Difference and Borrow output of Full Subtractor:
D = A (XOR) B (XOR) Bin
Bout = A'B + Bin [ A (XOR) B ] '
The Full Subtractor circuit can be implemented using the two Half Subtractors and one OR gate. In this video, the design of Full Subtractors using Half Subtractors is also explained.
Digital Electronics (Playlist):
• Digital Electronics
This video will be helpful to all the students of science and engineering in understanding the Half Subtractor and Full Subtractor Circuits, and how to design a Full Subtractor using Half Subtractors.
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