74LS86 has four XOR gates inside the chip and 74LS08 has four AND gates inside it. FULL ADDER VS HALF ADDER TRUTH TABLE SERIESFor this we used two widely used XOR and AND chip from 74 series 74LS86 and 74LS08.īoth are gate ICs. We can make the circuit in real on breadboard to understand it clearly. Practical Demonstration of Half Adder Circuit: Truth table of Half-Adder circuit is as follows. The Boolean expression of Half Adder circuit is- SUM = A XOR B (A+B) CARRY = A AND B (A.B) This is the construction of Half-Adder circuit, as we can see two gates are combined and the same input A and B are provided in both gates and we get the SUM output across EX-OR gate and the Carry Out bit across AND gate. So the Half-Adder logical circuit can be made by combining this two gates and providing the same input in both gates. In the above, the truth table of AND gate is shown where it will only produce the output when both inputs are 1, Otherwise it will not provide an output if both inputs are 0 or any of the inputs is 1. The output is depends on the AND gate truth table. If we provide A and B bit in the input it will produce an Output. Same as like EX-OR gate it has two inputs. This is the basic circuit of two input AND gate. AND gate is perfectly fits in this application. X-OR gate only provides the sum and unable to provide carry bit on 1 + 1, we need another gate for Carry. On the two other cases when both inputs are 0 or 1 the Ex-OR gate produce 0 outputs. When any one of the bits A and B is 1 the output of the gate becomes 1. In the above table we can see the total sum output of the EX-OR gate. The truth table of EX-OR gate is – Input A A, and B is the two binary input and SUMOUT is the final output after adding two numbers. This is the symbol of two inputs EX-OR gate. The Ex-OR gate is used to produce the SUM bit and AND Gate produce the carry bit of the same input A and B.
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