Ex-Sol-5

EXERCISE A:  Write the Logic statement that represents the following Logic circuits. 

d)

e)

a)  Y = A + B + B'(A + C)

b)  Y = A(B xor D) + C'

c)   Y = A + CD + ABC

d)  R= (AB)(C') + (B+C)' + (C+(B+C))  

e)  F = (AB + A'B') . (CD' + C'D)

EXERCISE B: Given the following Booelan Functions,  derive and draw their Logic Circuits for implementation.

a)  F = xy + x'y' + y'z

b)  F = (x' + y')' + (x + y)' + (y + z')' 

c)  F = [ (xy)' (x'y')' (y'z)']'

EXERCISE C: Using  TRUTH TABLE, prove the equality of the following Boolean Functions.

A)  (X+Y) (X'+Z) = XZ+X'Y 

B)  (X+Y)(Y+Z)(X'+Z) = (X+Y)(X'+Z)

C)  XY+YZ+X'Z  = XY+X'Z

D) (A+C)(AB+C') = AB+AC'

E)  W'XY+WZ = (W'+Z)(W+XY)