# Block Diagram Of 2 Bit Binary Subtractor

By | January 30, 2023

## Block Diagram Of 2 Bit Binary Subtractor

A binary subtractor is a digital circuit that performs the subtraction of two binary numbers. The block diagram of a 2-bit binary subtractor is shown in the figure below.

The input to the subtractor is two 2-bit binary numbers, A and B. The output of the subtractor is the 2-bit binary number C, which is the difference between A and B. The subtractor consists of three main components: the two input multiplexers, the 2-bit full adder, and the output multiplexer. The two input multiplexers select either the A or B inputs to be passed to the 2-bit full adder. The 2-bit full adder performs the addition of the two inputs, with the carry-in bit set to 0. The output of the 2-bit full adder is the difference between A and B, with the carry-out bit. The output multiplexer selects either the difference or the borrow bit to be passed as the output of the subtractor. The operation of the 2-bit binary subtractor can be summarized as follows: 1. The two input multiplexers select either the A or B inputs to be passed to the 2-bit full adder. 2. The 2-bit full adder performs the addition of the two inputs, with the carry-in bit set to 0. 3. The output of the 2-bit full adder is the difference between A and B, with the carry-out bit. 4. The output multiplexer selects either the difference or the borrow bit to be passed as the output of the subtractor. The following table shows the truth table for the 2-bit binary subtractor: | A | B | C | Carry-out | |---|---|---|---| | 0 | 0 | 0 | 0 | | 0 | 1 | 1 | 1 | | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 0 | The 2-bit binary subtractor is a simple circuit that can be used to perform subtraction of binary numbers. It is a fundamental building block of many digital circuits, such as arithmetic logic units (ALUs). ## Applications of the 2-Bit Binary Subtractor The 2-bit binary subtractor has a variety of applications in digital circuits. Some of the most common applications include: * Arithmetic logic units (ALUs): ALUs are digital circuits that perform arithmetic and logical operations on binary numbers. The 2-bit binary subtractor is a fundamental building block of many ALUs. * Digital signal processors (DSPs): DSPs are digital circuits that are used to process digital signals. The 2-bit binary subtractor can be used to perform subtraction operations on digital signals. * Microcontrollers: Microcontrollers are small, programmable computers that are used in a variety of embedded systems. The 2-bit binary subtractor can be used to perform subtraction operations in microcontrollers. ## Conclusion The 2-bit binary subtractor is a simple circuit that can be used to perform subtraction of binary numbers. It is a fundamental building block of many digital circuits, such as arithmetic logic units (ALUs) and digital signal processors (DSPs).

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