Draw logic circuit for the following Boolean expressions:
i)
ii)
iii)
i) $(x'yz) + (xyz)' + (xz'y)$ 1. Identify terms: * $x'yz$ → AND gate with inputs $x'$, $y$, $z$ * $(xyz)'$ → AND gate with $x$, $y$, $z$ followed by NOT gate * $xz'y$ → AND gate with $x$, $y$, $z'$ ________ __________ ______ _________ _________ _______ ____ ________ _______ ______.
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Write down suitable mathematical statement that can be represented by the following symbolic properties.
i)
ii)
iii)
iv)
Explain circular permutation and its application in problem solving with en example.
Find how many 3 digit numbers are even?
Three Sets A, B and Care: A= {1, 3,5,7,9,12,13, 15,17}, B= {1,2, 3,7,8,9, 10,17} and C {1,2,7, 8, 10, 11, 12,13,173. Find A B C; A~BUC; ABCand(A~C)
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i)p→(~r^~q)^(pvr)
ii)p(rv~q) (~p^~r)
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i) If each letter must be used,
ii) If some or all the letters may be omitted.
Explain addition theorem in probability with an example.