Question

Q# 7 (3 marks) Implement the Boolean function F(K,A,B,C,D) shown below using a single decoder of a suitable size and multi- input OR gate and inverter. Note the order of the variables in the function F and use the same order when implementing input to the decoder. + (4-1) MUX (2-1) FIK.A,BC,D) MUX + 0 + - Si So BUD

Answer 1

Giren, F(A,B,C,D) decorder, (suïtablesize) we have to design This multiple input or-gate with, one & inverter, By seeing muxs circuts, 1 KE 2 rolf o we can T o l J Enable We can use so, one input 'k' is gou to Enable then Remooning 4-input, so we can use a ux ab use k'as input of Beardy, inverker hone decorder Estimated Cireet / 8 Fulco 777 4x16 Decona O15-0 or gate & orgale Scanned with CamScanner

To get this, we will get mên terms, off, fi (A, BEC,D) = B.D. A+ Z. D.1+ B..+ BDĀ from mox uxl | = f = 3D 4 (c+%)+ 3 D (4+1)(+8) + (4+) 3 c b + A B CC+T) M13 mis mi2 miy ÄRo m7 7 = ABCD + ABCD A B C ł + + ABC I mio Ā B C DT mi Ā B C D m3 m2 | f = 2( 2, 3, 5, 7, 10, 12, 13, 14, 1) = f (a, b,,P) 4x 16 Decorder Olgate um Scanned with CamScanner