Digital-GrandTest1-Q7

The expression for $C_0$ is ?

$(A).x_1y_0 + x_0y_1+x_0y_0$

$(B).x_1x_0 + y_1y_0$

$(C).x_1y_1 + x_0y_0 + y_0y_1$

$(D).\text{None}$

reshown Jun 20

Solution:

Since carry need to be generated for when sum > 2 (ternary).

Condition for Carry to be set: Inputs =2+1 or 1+2 or 2+2 or 1+1(+1 by Carry in) BUT not required as it is given 0.

i.e in binary : (x1,x0:y1,y0)= (1,0:0,1) or (0,1:1,0) or (1,0:1,0)

Hence on Solving by K-map:

x1y0+x0y1+x0y0