# What is half subtractor give truth table of full subtractor and its circuit diagram?

## What is half subtractor give truth table of full subtractor and its circuit diagram?

The half-subtractor is a combinational circuit which is used to perform subtraction of two bits. It has two inputs, A (minuend) and B (subtrahend) and two outputs Difference and Borrow. The logic symbol and truth table are shown below. From the above truth table we can find the boolean expression.

How do you write a truth table for a full subtractor?

Full Subtractor in Digital Logic

1. Truth Table –
2. Logical expression for difference – D = A’B’Bin + A’BBin’ + AB’Bin’ + ABBin = Bin(A’B’ + AB) + Bin'(AB’ + A’B) = Bin( A XNOR B) + Bin'(A XOR B) = Bin (A XOR B)’ + Bin'(A XOR B) = Bin XOR (A XOR B) = (A XOR B) XOR Bin.

What is the truth table of Half subtractor?

The truth table is nothing but the possible combination of inputs and their resultant output. In case of half subtractor there are two inputs. Thus the number of possible combinations will be 4. The resultant of all the 4 inputs will be described as outputs.

### How do you use a half subtractor to implement a full subtractor?

Half Subtractor Designing-

1. Step-01: Identify the input and output variables- Input variables = A, B (either 0 or 1)
2. Step-02: Draw the truth table- Inputs.
3. Truth Table.
4. Step-03: Draw K-maps using the above truth table and determine the simplified Boolean expressions- Also Read- Half Adder.
5. Step-04: Draw the logic diagram.

What is half and full subtractor?

The Half Subtractor is used to subtract only two numbers. The full subtractor is used to subtract three 1-bit numbers A, B, and C, which are minuend, subtrahend, and borrow, respectively. The full subtractor has three input states and two output states i.e., diff and borrow.

What is half subtractor explain with truth table and implement using XOR and basic gates?

Half subtractor is the most essential combinational logic circuit which is used in digital electronics. Similarly, the subtractor circuit uses binary numbers (0,1) for the subtraction. The circuit of the half subtractor can be built with two logic gates namely NAND and EX-OR gates.

#### Which gate is used in half subtractor?

The circuit of the half subtractor can be built with two logic gates namely NAND and EX-OR gates. This circuit gives two elements such as the difference as well as they borrow.

What is the conclusion of Half subtractor and full subtractor?

Half subtractor is limited to subtraction of two bits without borrow. But when performing multi digit operations, the subtraction is to be performed with the borrow from the previous digit subtraction. This computation is not possible with half subtractor. Hence full subtractor is used for such operations.

How many gates are used in half subtractor?