A 4-bit parallel adder is a digital circuit that adds two 4-bit binary numbers and produces a 4-bit sum. The circuit consists of four full adders, each of which adds two bits and produces a carry bit. The carry bits from the full adders are added together to produce the final carry bit. The sum bits from the full adders are also added together to produce the final sum.

The following is a circuit diagram of a 4-bit parallel adder:

The four full adders are labeled A, B, C, and D. The inputs to each full adder are the two bits being added and the carry bit from the previous full adder. The outputs of each full adder are the sum bit and the carry bit. The final sum bit is the output of the fourth full adder. The final carry bit is the output of the OR gate.

The operation of the 4-bit parallel adder can be understood by considering the following example. Let's add the two 4-bit binary numbers 0101 and 1010. The corresponding truth table for this addition is shown below:

A | B | Cin | Sum | Cout |
---|---|---|---|---|

0 | 1 | 0 | 1 | 0 |

1 | 0 | 0 | 1 | 0 |

0 | 1 | 0 | 1 | 0 |

1 | 0 | 0 | 1 | 0 |

The circuit diagram of the 4-bit parallel adder can be used to create a truth table for the addition of any two 4-bit binary numbers. The truth table can then be used to verify the operation of the circuit.

4-bit parallel adders are used in a variety of digital applications, such as digital logic circuits, microprocessors, and digital signal processors. They are also used in arithmetic logic units (ALUs), which are the computational units of microprocessors.

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