_______ are universal logic gates.

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ALP CBT 2 Electronic Mechanic Previous Paper: Held on 21 Jan 2019 Shift 1
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  1. NAND and NOR gates
  2. NOT Gates and EX-OR Gates
  3. AND Gates and NOT Gates
  4. OR Gates and EX-OR Gates

Answer (Detailed Solution Below)

Option 1 : NAND and NOR gates
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Detailed Solution

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  • AND, OR, NOT gates are the basic gates.
  • The logic gates which are derived from the basic gates like AND, OR, NOT gates are known as derived gates. XOR and XNOR are the derived gates.
  • A universal gate is a gate that can implement any Boolean function without the need to use any other gate type.
  • NAND and NOR gates are universal gates.
  •  

    The implementation of other gates using only NOR gate is as shown:

    Logic Gates

    Min. number of NOR Gate

    Min. number of NAND Gate

    NOT

    1

    1

    AND

    3

    2

    OR

    2

    3

    EX-OR

    5

    4

    EXNOR

    4

    5

    NAND

    4

    1

    NOR

    1

    4

    Half-Adder

    5

    5

    Half-Subtractor

    5

    5

    Full-Adder

    9

    9

    Full-Subtractor

    9

    9

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