# 4 Bit Bcd Adder Circuit Diagram

By | July 31, 2022

If you're an electrical engineer or a hobbyist who loves fiddling with circuits, then you must have heard about 4 bit BCD adder circuit diagrams. It is an integral part of digital circuits and provides an easy way to add two numbers of four bits each that are Binary Coded Decimal (BCD).

A BCD adder is a digital device used in data processing applications to add two sets of binary coded decimal numbers together. The output of the BCD adder is the sum of the two inputs and is also in BCD form. It generally consists of two four-bit adders and a multiplexer, which allows the user to choose between the two adders. The sequencing of the multiplexer is determined by the logic type chosen.

The basic circuit diagram of a four-bit BCD adder consists of four logic gates: two XOR gates, one NAND gate, and one XNOR gate. All four logic gates are connected in such a way that their outputs are combined to give the result of the addition of the two four-bit numbers.

To understand how the four-bit BCD adder works, let us take an example. Let's say we want to add two BCD numbers – 8 and 11. The first step is to convert the two numbers into binary form. 8 is represented as 1000 in binary, while 11 is represented as 1011. Next, we need to arrange the two four-bit numbers on either side of the circuit. Now, we can see that the NAND gate and the XNOR gate are in parallel, while the XOR gate is in series with both the gates.

When the circuit is activated, the output of the XOR gate will be the sum of the two four-bit numbers. This output is then fed into the NAND gate and XNOR gate, which will in turn produce the final output. In our example, the output of the XOR gate is 111, which is then fed into the other two gates. The NAND gate produces 0 (which is the carry bit) and the XNOR gate produces 1 (which is the sum of the two four-bit numbers). Hence, the final result of our example is 8 + 11 = 19.

With the help of a 4 bit BCD adder circuit diagram, adding two binary coded decimal numbers becomes a straightforward task. It is a vital component of modern digital circuits, so mastering its operation and understanding its underlying principles is essential for anyone working with digital systems.

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