**Half Subtractor-**

- Half Subtractor is a combinational logic circuit.
- It is used for the purpose of subtracting two single bit numbers.
- It contains 2 inputs and 2 outputs (difference and borrow).

**Half Subtractor Designing-**

Half subtractor is designed in the following steps-

**Step-01:**

Identify the input and output variables-

- Input variables = A, B (either 0 or 1)
- Output variables = D, b where D = Difference and b = borrow

**Step-02:**

Draw the truth table-

Inputs | Outputs | ||

A | B | D (Difference) | b (Borrow) |

0 | 0 | 0 | 0 |

0 | 1 | 1 | 1 |

1 | 0 | 1 | 0 |

1 | 1 | 0 | 0 |

**Truth Table**

**Step-03:**

Draw K-maps using the above truth table and determine the simplified Boolean expressions-

**Also Read-** **Half Adder**

**Step-04:**

Draw the logic diagram.

The implementation of half subtractor using 1 XOR gate, 1 NOT gate and 1 AND gate is as shown below-

**Limitation of Half Subtractor-**

- Half subtractors do not take into account “Borrow-in” from the previous circuit.
- This is a major drawback of half subtractors.
- This is because real time scenarios involve subtracting the multiple number of bits which can not be accomplished using half subtractors.

To overcome this drawback, Full Subtractor comes into play.

To gain better understanding about Half Subtractor,

**Next Article-** **Full Subtractor**

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Summary

Article Name

Half Subtractor | Definition | Circuit Diagram | Truth Table

Description

Half Subtractor is a combinational logic circuit used for the purpose of subtracting two single bit numbers. Half Subtractor Definition, Block Diagram, Truth Table, Circuit Diagram, Logic Diagram, Boolean Expression and Equation are discussed.

Author

Akshay Singhal

Publisher Name

Gate Vidyalay

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