Half adder
FIRST
GORAKHNATH
ROLL NO 15
A CIRCUIT REPRESENTING HALF ADDER LOGIC CIRCUIT
HALF ADDER
Half adder is the simplest of all adder circuits. Half adder is a combinational arithmetic circuit that adds two numbers and produces a sum bit (s) and carry bit (c) both as output. The addition of 2 bits is done using a combination circuit called a Half adder. The input variables are augend and addend bits and output variables are sum & carry bits. A and B are the two input bits.
Here we need to make a half adder on simulator by using gate ie. XOR gate and 2 NAND gate after that we need to check whether it is right or not by giving input 0 or 1 . As we have already made a truth table for it in order to check and match whether the circuit is connected or working properly or not.
TRUTH TABLE
HALF ADDER
ALL OF THE ADDERS AND SUBSTRACTORS
AISHWARYA
ONLY HALF ADD AND HALF SUB
A Half Adder is a simple combinational circuit used to add two single-bit binary numbers. It has two inputs, A and B, and produces two outputs: Sum (S) and Carry (C). The Sum is the result of the binary addition, while the Carry is generated when both inputs are 1. The circuit is built using basic logic gates—an AND gate and an OR-NOT combination. The Sum is obtained by first using an OR gate to check if at least one input is 1, followed by a NOT gate to invert the Carry when both inputs are 1. The Carry is generated using an AND gate, which outputs 1 only when both A and B are 1. The working of the Half Adder can be understood using the following truth table:
A B Sum (S) Carry (C)0 0 000 1 101 0 101 1 01
The Half Adder is useful for basic binary addition but cannot handle a carry from a previous stage, which limits its use in multi-bit addition. To overcome this, a Full Adder is used, which considers an additional carry-in input.