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How many entries will be there in the truth table of a 3 input NAND gate ?

  • A.3
  • B.6
  • C.9
  • D.8

Answer: D

The truth table has 8 entries.

Each input can be 0 or 1, so n inputs give 2n combinations. For three inputs, 23 = 8 rows, from 000 to 111. For a NAND gate the output is 0 only in the row 111 and 1 in the other seven.

3 counts the inputs rather than the combinations, 6 is 2 × 3, and 9 is 32, none of which is the number of binary input combinations.

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