Task$1$: Half Adder

Assuming we have inputs A and $B$ which we require to add together. Complete the truth

table

As it can bee seen from the table, we have two output bits, the Sum and Carry and the

respective logic circuit is expected to have $2$ input signals and generate $2$ output

signals.

From the truth table we can derive $2$ expressions, $1$ expression for the Sum and $1$ for the

Carry.

Write the expressions here below.

Sum $-$

Carr

Q$1.$ Draw the circuit for Half adder. Both outputs Sum, and Carry must derive from the

same inputs.

Provide your observations here below:

A Full Adder has three inputs A$,$ B and Carry $In(G_{in})$ and two outputs which are Sum

and Carry out $($Coun$).$

The truth table for a Full Adder is shown below. Complete the Table

From the truth table, we can get the expressions for the Sum and Carry outputs.

Q$2.$ Write the Expression of Sum

Q$3$ Write the Expression of Carry

Provide your observations here below:

Q$4.$ Get the simplified minterms, expression for Sum and Carry using the Boolean Laws.

Q$5.$ Draw the circuit for the full adder based on the expression derived from Q$4.$

Provide your observations here below:

Task$1$: Half Adder

Assuming we have inputs A and $B$ which we require to add together. Complete the truth

table

As it can bee seen from the table, we have two output bits, the Sum and Carry and the

respective logic circuit is expected to have $2$ input signals and generate $2$ output

signals.

From the truth table we can derive $2$ expressions, $1$ expression for the Sum and $1$ for the

Carry.

Write the expressions here below.

Sum $-$

Carr

Q$1.$ Draw the circuit for Half adder. Both outputs Sum, and Carry must derive from the

same inputs.

Provide your observations here below: