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Question

The combination of ‘NAND’ gates shown here under (figure) are equivalent to

  1. An OR gate and an AND gate respectively
  2. An AND gate and a NOT gate respectively
  3. An AND gate and an OR gate respectively
  4. An OR gate and a NOT gate respectively


Solution

The correct option is A An OR gate and an AND gate respectively
For 1st combination
C=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯A.A ¯¯¯¯¯¯¯¯¯¯¯B.B
A.A. = A & B.B. = B
C=¯¯¯¯¯¯¯¯¯¯¯¯¯¯A.¯¯¯¯B
C=¯¯¯¯¯¯¯¯A¯¯¯¯¯¯¯¯B
C = A + B
It is an OR gate
For 2nd combination
C=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯A.B.¯¯¯¯¯¯¯¯¯¯¯A.B
C=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯A.B.¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯A.B
C = AB + AB
C = AB
Its an AND gate

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