AIEEE Solved Paper-2012
A)
A
B
Y
0
0
0
0
1
1
1
0
1
1
1
0
B)
A
B
Y
0
0
0
0
1
0
1
0
1
1
1
1
C)
A
B
Y
0
0
1
0
1
1
1
0
0
1
1
0
D)
A
B
Y
0
0
1
0
1
0
1
0
0
1
1
1
Correct Answer: A
Solution :
\[y=\overline{\left( \overline{A.\overline{\,A.\,B}} \right).\left( \overline{B.\,\overline{A.\,B}} \right)}\] \[=\left( \overline{\overline{A.\overline{\,A.\,B}}} \right).\left( \overline{\overline{B.\,\overline{A.\,B}}} \right)\] \[=A.\,\left( \overline{A}+\overline{B} \right)+B.\left( \overline{A}+\overline{B} \right)\] \[=A.\,\overline{A}+A.\,\overline{B}+B.\,\overline{A}+B.\,\overline{B}\] \[y=0+A.\,\overline{B}+B.\,\overline{A}+0\]
You need to login to perform this action.
You will be redirected in
3 sec
