Question

Implement a full adder circuit with a decoder and two OR gates. The sum and carry expression of the full adder is given:

S (x,y,z) = Σ ( 1,2,4,7)

C (x,y,z) = Σ ( 3,5,6,7)

Answer 1

Explanation:

flip-flop circuit can be constructed from two NAND gates or two NOR gates. These flip-flops are shown in Figure. Each flip-flop has two outputs, Q and Q’, and two inputs, set and reset. …

Answer 2

Answer:

The solution for full adder is

Explanation:

Full adder :

• Full adder is a adder that combines 3 different inputs and gives 2 outputs.
• In full adder the first two inputs are A and B.
• The third input in full adder is carry input C - IN.
• Among the outputs, First output is the sum of inputs A and B.
• The second output is the carry output C - OUT.
• A full adder is designed to take eight inputs together and create a bite wide adder.
• It can cascade carry bit from one adder to other.

1. Logical Expression for SUM is :

A’B’C-IN + A’BC-IN’ + AB’C-IN’ + ABC-IN = C-IN (A’B’ + AB) + C-IN’ (A’B + AB’) = C-IN XOR (A XOR B) = (1,2,4,7)

2. Logical Expression for C-OUT is :

A’ B C-IN + A B’ C-IN + A B C-IN’ + A B C-IN = A B + B C-IN + A C-IN = (3,5,6,7)

OR

COUT = AB + C-IN

#SPJ2