# 4 Bit Binary Substractor

By | April 30, 2023

## 4 Bit Binary Subtractor

A binary subtractor is a digital circuit that performs subtraction on two binary numbers. The output of the subtractor is the difference between the two input numbers. 4-bit binary subtractors are commonly used in digital logic circuits. They can be used to perform subtraction operations on 4-bit binary numbers. ### 4-bit Binary Subtractor Circuit The following diagram shows the circuit diagram of a 4-bit binary subtractor: The circuit consists of four XOR gates, four AND gates, and one OR gate. The inputs to the subtractor are the two 4-bit binary numbers A and B. The output of the subtractor is the 4-bit binary number C, which is the difference between A and B. The operation of the subtractor can be explained as follows: 1. The first two bits of A and B are XORed together and the output is stored in the output bit C0. 2. The next two bits of A and B are XORed together and the output is stored in the output bit C1. 3. The last two bits of A and B are XORed together and the output is stored in the output bit C2. 4. The carry bit C3 is generated by ANDing the carry bit C2 with the borrow bit B4. The following table shows the truth table for the 4-bit binary subtractor: | A | B | C0 | C1 | C2 | C3 | |---|---|---|---|---|---| | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 1 | 1 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 0 | 0 | | 1 | 1 | 0 | 1 | 0 | 0 | | 0 | 0 | 0 | 0 | 1 | 0 | | 0 | 1 | 1 | 0 | 1 | 0 | | 1 | 0 | 1 | 1 | 1 | 0 | | 1 | 1 | 0 | 0 | 1 | 1 | | 0 | 0 | 1 | 1 | 0 | 1 | | 0 | 1 | 0 | 1 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | 1 | | 1 | 1 | 1 | 1 | 1 | 1 | ### Applications of 4-bit Binary Subtractors 4-bit binary subtractors are used in a variety of applications, including: * Digital arithmetic circuits * Digital logic circuits * Computer arithmetic units * Microprocessors * Digital signal processors ### Conclusion 4-bit binary subtractors are an important part of digital logic circuits. They can be used to perform subtraction operations on 4-bit binary numbers. 4-bit binary subtractors are used in a variety of applications, including digital arithmetic circuits, digital logic circuits, computer arithmetic units, microprocessors, and digital signal processors.

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