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A full adder can be realised usinga.two half adders, two OR gatesb.none of thesec.two half adders, one OR gated.one half adder, two OR gates

Question

A full adder can be realised using

a. two half adders, two OR gates
b. none of these
c. two half adders, one OR gate
d. one half adder, two OR gates

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Solution

To realize a full adder, we need to understand its components and their connections.

A full adder is a digital circuit that adds three binary inputs: A, B, and a carry-in (Cin), and produces a sum (S) and a carry-out (Cout).

To implement a full adder, we can use either two half adders or one half adder and two OR gates.

Let's consider the options:

a) Two half adders and two OR gates:

  • The first half adder takes inputs A and B and produces a partial sum (PS) and a carry-out (Cout1).
  • The second half adder takes inputs PS and Cin and produces the final sum (S) and a carry-out (Cout2).
  • The two carry-out signals (Cout1 and Cout2) are then connected to two OR gates, which produce the final carry-out (Cout).

b) None of these: This option is not valid as it does not provide a correct implementation of a full adder.

c) Two half adders and one OR gate:

  • The first half adder takes inputs A and B and produces a partial sum (PS) and a carry-out (Cout1).
  • The second half adder takes inputs PS and Cin and produces the final sum (S) and a carry-out (Cout2).
  • The carry-out signals (Cout1 and Cout2) are then connected to one OR gate, which produces the final carry-out (Cout).

d) One half adder and two OR gates:

  • This option is not valid as it does not provide a correct implementation of a full adder.

Therefore, the correct answer is option c) - a full adder can be realized using two half adders and one OR gate.

This problem has been solved

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