Question

1. Find 8 different 2-level minimized circuits to realize each of the following functions. 1. F(W,X,Y,Z) = {m (2,4,6,7,12,14,15) 2. G(W,X,Y,Z) = (x + Y' + Z) (X' + Y + Z) W • Using algebraic techniques • Using network conversion

Answer 1

Solution Given function. in FC4, x,y, ty: 5 m (3,4,6,1,12,14,15) Kimap cellesing sop Format FC u, x, y, z) = x2 + xy + 2 y = ing Basic gates [NOT, OR, ANDJ Ratizatime- FW, X, Y, ZXZ + xy +wy XZ * 3D vës Fawn xe >

Using universal gates © : 1. NAND gates e NAND gate follows the AND-OR logic De ty 2013 Demon FRXIXKW, F(W,X,Y,Z) - xy + xZtWyž 2 tot AND logic Nor gate Follows the OR NOR gates. namun Debety) say F(W,,Y,Z) x-share @+5)=2&s Ecus xiya) y Dow+713): fwyz -

using 16 in Mur sealizing the above function F (W xy, z) = Em (2, 4, 6, 7, 12, 14, 15) A h 16:11 F(W,X,Y17) - Xy+x3+wYZ it the 77 GNO 2. G CW,X,Y,Z): (x+y+z) (x+y+z)W. = f*'4xy+*7 +y'x'+y'+ y2 + x'z+yz+z7w = (xy+x2 +x'y' + y'z + x'z +yz+zy w = [xy + x2 +x'y'+ 25W = [x4+x\y!+z8W - WXy wxly twz. Given function expressing in K-map Sop Form Pop Form. wx Vooo 1110 (wax) Cy42) cm) 000 45 26 12 17wxy OS 10 Joola li x'tytz xty12

- Segtuktug (Z'k 'x'm) } t (214th of 2. NOR Galés e w (ziki'my o ther Tao x+y+z INAND Gates Universal halis Tii) using N *** 3 -(Pethex hot (zikix'm7b using Basic cales i

From K-map G1W,X,Y,Z) = Em (8,9, 11, 13, 14, 15) ing the above function using 16.1 muy HOV - G (W, X,Y,Z) to-dm 5 best soros Imo 75V