View attachment 73075
I was going through past year papers when I discovered this question. According to Duality principle, we have to change ANDs to ORs and vice versa. But I wanted to know if they were under a complement like this one.
According to me it should be:
[(A+B)'+A]+[(A+B)'+B] -applying Duality
[(A)'(B)' + A+ (A)'(B)' +B] - applying DeMorgans
A'B' + A +B - Dual of the function
Now for taking a complement we invert the literals,
AB + A'+B' -Complement of the function
But now I can't see how they are equal. Can someone help me out here?
I was going through past year papers when I discovered this question. According to Duality principle, we have to change ANDs to ORs and vice versa. But I wanted to know if they were under a complement like this one.
According to me it should be:
[(A+B)'+A]+[(A+B)'+B] -applying Duality
[(A)'(B)' + A+ (A)'(B)' +B] - applying DeMorgans
A'B' + A +B - Dual of the function
Now for taking a complement we invert the literals,
AB + A'+B' -Complement of the function
But now I can't see how they are equal. Can someone help me out here?
