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Computer Science

For the given truth table A, B and C are the inputs and X is the output.

ABCX
0001
0010
0100
0111
1001
1010
1101
1110

Write:
(i) Canonical Sum of Product expression (SOP).
(ii) Canonical Product of Sum expression (POS).

Boolean Algebra

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Answer

ABCXMin
Terms
Max
Terms
0001A'B'C'
0010A+B+C'
0100A+B'+C
0111A'BC
1001AB'C'
1010A'+B+C'
1101ABC'
1110A'+B'+C'

Canonical Sum of Product expression (SOP):
A'B'C' + A'BC + AB'C' + ABC'

Canonical Product of Sum expression (POS):
(A+B+C').(A+B'+C).(A'+B+C').(A'+B'+C')

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