# 3 Obtain the truth table of the following Boolean function, you may

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3. Obtain the truth table of the following Boolean function,
you may simplify.
(1)
( b + cd) ( c + bd)
(2)
b d s + a c d + a b c + a c
Solution
( b + cd) ( c + bd) = bc+ bd+ cd + bcd
Truth Table:
b d s + a c d + a b c + a c
= b d s + a c (d\' + b\') + a c
= b d\' s + d\' + b\' (since ac + a\'c\')
= d\'(bs+1) + b\'
= d\' +
b\'bcdbcbdcdbcd(b+cd)(c+bd)000000000010000001000000
0110010110000000101010011101000111111111

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3. Obtain the truth table of the following Boolean function, you may simplify. (1) ( b + cd) ( c + bd) (2) b d’ s + a c d’ + a b’ c + a’ c’ Solution ( b + cd) ( c + bd) = bc+ bd+ cd + bcd Truth Table: b d’ s + a c d’ + a b’ c + a’ c’ = b d’ s + a c (d\' + b\') + a’ c’ = b d\' s + d\' + b\' (since ac + a\'c\') = d\'(bs+1) + b\' = d\' + b\'bcdbcbdcdbcd(b+cd)(c+bd)000000000010000001000000 0110010110000000101010011101000111111111 Name: Description: ...
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