gateoverflow test

Question

• The following switching functions are to be implemented using a Decoder: f1= Σ m( 1, 2, 4, 8, 10,14 ) , f2 = Σ m( 2,5, 9,11) , f3 = Σ m( 2,4,5,6,7) The minimum configuration of the decoder should be

  (A) 2 – to – 4 line.                                                (B) 3 – to – 8 line.

   (C) 4 – to – 16 line.                                             (D) 5 – to –32 line.

Answer 1

To implement functions using Decoder:

f1= Σ m( 1, 2, 4, 8, 10,14 ) Needs 16 minterms

f2 = Σ m( 2,5, 9,11) Needs 16 minterms

f3 = Σ m( 2,4,5,6,7) Needs 8 minterms

So therefore Option C  4 – to – 16 line Decoder