How to Wire a Full Subtractor Using Nor Gate Circuit Diagram

The full subtractor is an important component in digital electronics and its construction is relatively simple with a few logical gates. It is used to subtract two binary numbers and can also be used as a complementer if the output of the subtractor is complemented. This article examines the wiring of a full subtractor circuit diagram using the NOR gate, which is an important logic gate in digital circuits.

Digital electronics is a field of electrical engineering that uses digital signals to transmit information. Logic gates are the building blocks of digital circuits and they are used to process binary inputs and outputs. The most commonly used logic gates are the AND, OR, NOT and NOR gates. Each of these logic gates has unique characteristics that make them suitable for different application scenarios. In this article, we will look at how to wire a full subtractor circuit diagram using a NOR gate.

Circuit Diagram

A full subtractor circuit diagram is shown in the figure below. It consists of three inputs: A, B, and Cin (Carry-in). There are also two outputs: Diff and Cout (Carry-out) which represent the difference between the two inputs and the carry-out bit. The NOR gate is used to implement the full subtractor circuit diagram.

The NOR gate is an important logic gate that has two inputs and one output. The output of the NOR gate is 1 only when both of its inputs are 0. When either of the inputs is 1, the output is 0. This behavior can be used to implement the full subtractor circuit diagram as shown below.

Wiring the Full Subtractor Circuit Diagram

To wire the full subtractor circuit diagram, connect the three inputs: A, B, and Cin (Carry-in) to the three inputs of the NOR gate. The NOR gate has an output that is connected to the Diff output of the full subtractor circuit diagram. The Cout output is then connected to the output of the NOR gate.

The following table summarizes the connections between the inputs and outputs of the full subtractor circuit diagram and the NOR gate.

Inputs	Outputs
A	Diff
B	Diff
Cin (Carry-in)	Diff
NOR gate output	Cout (Carry-out)

Working of the Full Subtractor Circuit Diagram

The full subtractor circuit diagram works by taking two binary input numbers and producing the difference and the carry-out bit as the output. The working of the full subtractor circuit diagram can be understood with the help of the truth table shown in the figure below.

The truth table shows the output of the full subtractor circuit diagram for various combinations of inputs. The inputs are A and B, while the outputs are Diff (the difference between A and B) and Cout (the carry-out bit).

Conclusion

In conclusion, the full subtractor is an important component of digital electronics and its circuit diagram can be implemented using a NOR gate. The circuit diagram consists of three inputs and two outputs and the NOR gate is used to implement the full subtractor circuit diagram. The working of the full subtractor circuit diagram can be understood with the help of the truth table.

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