Question

Simplify using De Morgan's LAW:

f = (qr'+q'r)'

Answer 1

who is de morgan do u know

Answer 2

That + there is a logical AND ?

Answer 3

thats an inversion of xor so u should get xnor after simplifying

Answer 4

(qr'+q'r)'

(qr')'(q'r)'

(q'+r)(q+r')

foil it now and simplify

Answer 5

What is the final simplification answer??

Answer 6

(q'+r)(q+r')

q'q + rq + q'r' + rr'

qr + q'r'

Answer 7

thats the final simplification using demorgan's laws. the thing to notice here is that you're taking negation of ex-or

Answer 8

Can the equation be further simplified?

Answer 9

impossible

Answer 10

ok thx

Answer 11

yw ! xor and xnor are very important gates so its good idea to remember their boolean function and truth table atleast.