8. Show that
a) Using truth tables
b) Using Boolean identities
8) a)Show that X=xy+xy’ by using truth table
X |
Y |
Y’ |
xy |
xy’ |
xy+xy’ |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
b) Show that x=xy+xy’ by using Boolean method
x=xy+xy’ {y+y’=1}
x=x(y+y’)
x=x.1
x=x hence proved x=xy+xy’