Which of the following statements are true ? I. A circuit that adds two bits,…

2013

Which of the following statements are true ?

I. A circuit that adds two bits, producing a sum bit and a carry bit is called half adder.

II. A circuit that adds two bits, producing a sum bit and a carry bit is called full adder.

III. A circuit that adds two bits and a carry bit producing a sum bit and a carry bit is called full adder.

IV. A device that accepts the value of a Boolean variable as input and produces its complement is called an inverter.

  1. A.

    I & II

  2. B.

    II & III

  3. C.

    I, II, III

  4. D.

    I, III & IV

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Correct answer: D

Answer: Statements I, III and IV are true.

  • Statement I: A half adder adds two bits and produces a sum bit and a carry bit. This is true.

  • Statement II: Says a circuit that adds two bits producing sum and carry is called a full adder. This is false because that description fits a half adder; a full adder includes an additional input carry.

  • Statement III: A circuit that adds two bits and a carry input, producing a sum and a carry output, is called a full adder. This is true.

  • Statement IV: A device that takes a Boolean variable and outputs its complement is an inverter (NOT gate). This is true.

Therefore the correct set of true statements is I, III and IV.

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