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Find the boolean expression for the logic circuit shown below.
Ans. Output of Gate-1 (NAND) = (AB)'
Output of Gate-2 (NOR) = (A'+B)'Output of Gate-3 (NOR) = [(AB)' + (A'+B)']'
Here applying the De-Morgans law, (X+Y)' = X'Y'and (XY)' = (X'+Y') [(AB)' + (A'+B)']' = [(AB)']' [(A'+B)']'= (AB) (A'+B)= AA'B + ABB= ABB= AB.
By using XNOR gate if the signals are similar then only the output will be one otherwise not.
Find out how many words can be formed out of the letters of the word DAUGHTER such that (i) The vowels are all time together. (ii) The vowels occupy even places. Ans:
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