1 {cc|c} \(\) \(\) \(\) |
|0 0 1 |
|---|
|0 1 0 |
|1 0 1 |
|1 1 0
2 {cc|c} A \(\) \(\) |
|0 1 1 |
|---|
|1 0 0 |
|1 1 1
{cc|c}
|(c) A B C\)|
|---|
\( 0 0 0\)
\(0 1 1\)
\(1 0 1\)
\(1 1 0
{cc|c}
|(d) \(\) \(\) \(\)\)|
|---|
\( 0 0 1\)
\(0 1 0\)
\(1 0 0\)
\(1 1 1
3 (d.)
Explanation:
B 
If, \(A=0, B=0, Y_1=1, Y_2=1\)
\(\mathrm{C}=\mathrm{Y}_1 \cdot \mathrm{Y}_2=1.1=1\)
If, \(\mathrm{A}=0, \mathrm{~B}=1, \mathrm{Y}_1=1, \mathrm{Y}_2=0\)
\(\mathrm{C}=\mathrm{Y}_1 \cdot \mathrm{Y}_2=1.0=0\)
If, \(\mathrm{A}=1, \mathrm{~B}=0, \mathrm{Y}_1=1, \mathrm{Y}_2=1\)
\(\mathrm{C}=1.1=1\)
If, \(\mathrm{A}=1, \mathrm{~B}=1, \mathrm{Y}_1=0, \mathrm{Y}_2=1\)
\(\mathrm{C}=\mathrm{Y}_1 \cdot \mathrm{Y}_2=0.1=0\)
\(\therefore\) Truth table
{|l|l|l|}
| \(\) \(\) \(\)\)|
|---|
\( 0 0 1\)
\(0 1 0\)
\(1 0 1\)
\(1 1 0\)
\(