**Subtractor**: Subtractor is the one which used to subtract two binary number and provides Difference and Borrow as a output.basically we have two types of subtractor.

**Half Subtractor****Full Subtractor**

**Half Subtractor**:Half Subtractor is used for subtracting one single bit binary number from another single bit binary number.The truth table of Half Subtractor is shown below.

Like Adders Here also equation of Difference and Borrow is calculated as for more details please read What is meant by Arithmetic Circuits?

Difference = A'B+AB'=AB

Borrow=A'B

The logic Diagram of Half Subtractor is shown below.

**Full Subtractor :**A logic Circuit Which is used for Subtracting Three Single bit Binary numbers is known as Full Subtractor.The Truth Table of Full Subtractor is Shown Below.

From the Truth Table The Difference and Borrow will written as

Difference=A'B'C+A'BB'+AB'C'+ABC

Reduce it like adder

Then We got

Difference=ABC

Borrow=A'B'C+A'BC'+A'BC+ABC

=A'B'C+A'BC'+A'BC+A'BC+A'BC+ABC ----------> A'BC=A'BC+A'BC+A'BC

=A'C(B'+B)+A'B(C'+C)+BC(A'+A)

Borrow=A'C+A'B+BC

The logic diagram of Full Subtractor is Shown below

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Half Subtractor and Full Subtractor