Express F in SOP and POS form

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written 6.1 years ago by

vedantchikhale • 860

Since, there are 3 variables - A, B, C, so the number of select lines = 3.

Therefore, number of data inputs = $2^3=8$

Therefore, 8:1 MUX is needed.

Sum of Product (SOP)

For SOP, connect all the minterm inputs i.e 0,3,5,7 to logic 1 and rest of the input lines to logic 0.

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The truth table is as shown -

Input Line	A	B	C	Output F
0	0	0	0	1
1	0	0	1	0
2	0	1	0	0
3	0	1	1	1
4	1	0	0	0
5	1	0	1	1
6	1	1	0	0
7	1	1	1	1

Product of Sum (POS)

For POS, connect all the maxterm inputs i.e 0,3,5,7 to logic 0 and rest of the input lines to logic 1.

enter image description here

The truth table is as shown -

Input Line	A	B	C	Output F
0	0	0	0	0
1	0	0	1	1
2	0	1	0	1
3	0	1	1	0
4	1	0	0	1
5	1	0	1	0
6	1	1	0	1
7	1	1	1	0

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