ketz
  • ketz
Simplify using De Morgan's LAW: f = (qr'+q'r)'
Mathematics
schrodinger
  • schrodinger
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chmvijay
  • chmvijay
who is de morgan do u know
terenzreignz
  • terenzreignz
That + there is a logical AND ?
ganeshie8
  • ganeshie8
thats an inversion of xor so u should get xnor after simplifying

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ganeshie8
  • ganeshie8
(qr'+q'r)' (qr')'(q'r)' (q'+r)(q+r') foil it now and simplify
ketz
  • ketz
What is the final simplification answer??
ganeshie8
  • ganeshie8
(q'+r)(q+r') q'q + rq + q'r' + rr' qr + q'r'
ganeshie8
  • ganeshie8
thats the final simplification using demorgan's laws. the thing to notice here is that you're taking negation of ex-or
ketz
  • ketz
Can the equation be further simplified?
ganeshie8
  • ganeshie8
impossible
ketz
  • ketz
ok thx
ganeshie8
  • ganeshie8
yw ! xor and xnor are very important gates so its good idea to remember their boolean function and truth table atleast.

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