Computer Science

For the given truth table A, B and C are the inputs and X is the output.
A B C X
0 0 0 1
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 0
Write:
(i) Canonical Sum of Product expression (SOP).
(ii) Canonical Product of Sum expression (POS).

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A	B	C	X	Min Terms	Max Terms
0	0	0	1	A'B'C'
0	0	1	0		A+B+C'
0	1	0	0		A+B'+C
0	1	1	1	A'BC
1	0	0	1	AB'C'
1	0	1	0		A'+B+C'
1	1	0	1	ABC'
1	1	1	0		A'+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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