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Construct the truth table for the following logical expression: (?? ? ??) ? ??. b) Draw the digital circuit which represents the logical expression: (?? ? ??) ? ??, using only AND, OR, and NOT gates....

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Construct the truth table for the following logical expression: (?? ? ??) ? ??. b) Draw the digital circuit which represents the logical expression: (?? ? ??) ? ??, using only AND, OR, and NOT gates.
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Answered Same Day Dec 26, 2021

Solution

Robert answered on Dec 26 2021
113 Votes
1(a)Elements of A are {1, 3, 5, 7, 9}
1 = 1 * (2 ^ 0)
3 = 1 * (2^1) + 1 * (2 ^ 0)
5 = 1 * (2^ 2) + 0 * (2 ^ 1 ) + 1 * (2^ 1)
7 = 1 * ( 2^ 2) + 1* ( 2^ 1) + 1 * (2 ^ 0)
9 = 1* ( 2 ^ 3) + 0 * (2 ^ 1) + 0* ( 2 ^ 1 ) + 1 * (2 ^ 0)
Combining all the representation of the set in the order
is 1111011111001
(b)The given pattern of D is divided into 4 sub parts
which are from right to left 0, 1000, 111, 01 . Then the
conversion to decimal system is done and the result is
D = {1, 7, 8, 0}
© (1) A U B = {1, 3, 5, 6, 7, 9}. The conversion to binary
is done like 1 (a) . The result after combining the
inary representation for each of them comes out to
e 1111011101111001
(2) A (complement) U C = { 1,3, 5,6,7, 9}
Similarly the binary representation becomes
0101001101000.
(3) ...
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