Half Adder and Full Adder using NAND gates.

Aim: To design and verify half adder and full adder using NAND gates.

Material required: Four IC7400, A Breadboard, A Battery(5V), 1 LEDs, Connecting wires.

Theory: 

Adders are digital circuits that carry out addition of numbers. Adders are a key component of Arithmetic Logic Unit (ALU) inside any CPU. Adders can be constructed for most of the numerical representations like Binary coded Decimal (BCD), Excess-3, Gray code, Binary etc.

Out of these, binary addition is the most frequently performed task by most common adders. Apart from addition, adders are also used in certain digital application like table index calculation, address decoding tec.

Binary addition is similar to that of decimal addition. Add the first digits of a number and if the count exceeds binary 2, then carry 1 to the next row. The adder that performs simple binary addition must have two inputs (augend and addend) and two output (sum and carry). The device which performs above task is called a Half Adder. A Full Adder is another circuit which can add three numbers (two bits from the number s and one carry bit from previous sum).

Let's design a circuit for half adder using NAND gates - see fig.

Procedure: 

1. All the ICs and other components were checked for defect.
2. The breadboard was set-up with the components as in circuit diagram.
3. All combination of input and output was verified from the truth table
   .

Observation table: -

circuit diagram and truth table:

circuit diagram and truth table of jk flip flop

IC7410 circuit diagram

circuit diagram of IC7410

Result: Flip-flop (JK) circuit was built and verified using the NAND gates.

Precautions:

1. Make sure the apparatus is not defective.
2. Make sure connecting wire is not loose.
3. Never touch live wire.