Homework Sourse254 Fill in the truth table for the equations given The firs
2.54 Fill in the truth table for the equations given. The first line is done as an example. Qi NOTONOTOX) OR (X ANDY AND Z) Q2 NOT(Y OR Z) AND (X AND Y AND Z) 0 0 0 0 
Solution
Q1 = NOT( NOT(X) OR (X AND Y AND Z) )
Q2 = NOT( (Y OR Z) AND (X AND Y AND Z) )
Lets assume P = NOT(X), Q=X AND Y, R=Q AND Z, S=P OR R ie;; Q1 = NOT(S)
T = Y OR Z, U = S AND R Q2 = NOT( U)
X
Y
Z
P
Q
R
S
Q1
T
U
Q2
0
0
0
1
0
0
1
0
0
0
1
0
0
1
1
0
0
1
0
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
1
1
1
0
0
1
0
1
0
1
1
0
0
0
0
0
0
1
0
0
1
1
0
1
0
0
0
0
1
1
0
1
1
1
0
0
1
0
0
1
1
0
1
1
1
1
0
1
1
1
0
1
1
0
