Realization of Half Subtractor, Full Subtractor

Experiment No.: 4(B)

Experiment Name:

Realization of Half Subtractor, Full Subtractor

Objective: To implement the circuit and verify the circuit with truth table of

Half subtractor
Full subtractor

Theory:

Half subtractor: The half subtractor is also a building block for subtracting two binary numbers. It has two inputs and two outputs. This circuit is used to subtract two single bit binary numbers A and B. The ‘difference’ (D) and ‘borrow’ (B) are two output states of the half subtractor.

Block Diagram:

Truth Table of half subtractor:

The SOP form of the Diff and Borrow is as follows:

Diff= A’B+AB’
Borrow = A’B

Circuit Diagram of Half Subtractor using Logic Gates:

Observation Table:

Full Subtractor: A full subtractor is a combinational circuit that performs the arithmetic subtraction of three binary digit. It has 3 input and 2 output i.e. Difference (D) and Borrow (B).

Block Diagram:

Truth table of Full Subtractor:

Circuit Diagram of Full Subtractor using Logic Gates:

Observation Table:

Apparatus Used:

Sl No.	Name of Apparatus	Quantity	Specification	Makers name
1.	Logic Gate Trainer Kit	1	IC 7432, IC 7408, IC 7404, IC 7400, IC 7402, IC 7404	Salicon
2.	Connecting Probes	As required
3.	Digital Multimeter	1	0-1000 V DC, 0-750 V AC, 0-10 A	Akademika