Given the following truth tables AND truth table OR truth table NOT table OR tru
ID: 3719155 • Letter: G
Question
Given the following truth tables AND truth table OR truth table NOT table OR truth table NOT truth table input input output input input output input output X Y XY X Y X+Y X X' 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 Using a truth table, prove that XZ=(X+Y)(X+Y’)(X’+Z) X Y Z X+Y X+Y' X'+Z (X+Y)(X+Y’)(X’+Z) XZ 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Given the following truth tables AND truth table OR truth table NOT table OR truth table NOT truth table input input output input input output input output X Y XY X Y X+Y X X' 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 Using a truth table, prove that XZ=(X+Y)(X+Y’)(X’+Z) X Y Z X+Y X+Y' X'+Z (X+Y)(X+Y’)(X’+Z) XZ 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1Explanation / Answer
X
Y
Z
X+Y
X+Y'
X'+Z
(X+Y)(X+Y’)(X’+Z)
XZ
0
0
0
0
1
1
0
0
0
0
1
0
1
1
0
0
0
1
0
1
0
1
0
0
0
1
1
1
0
1
0
0
1
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
Since the last two columns are equal in values. Therefore it is proved that XZ=(X+Y)(X+Y’)(X’+Z).
X
Y
Z
X+Y
X+Y'
X'+Z
(X+Y)(X+Y’)(X’+Z)
XZ
0
0
0
0
1
1
0
0
0
0
1
0
1
1
0
0
0
1
0
1
0
1
0
0
0
1
1
1
0
1
0
0
1
0
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
1
Related Questions
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.