SOP_and_POS

SOP meant for

• Product terms summing

• Sum terms summing

• Sum terms product

• product terms product

POS meant for

• Product terms Product

• Sum terms product

• Sum terms summing

• Product terms summing

If we product all the minterms the result will be

• 1

• 0

• X + X'

• X*X'

If we sum all existed minterms for given three variable (X,Y,Z) the result will be equal to

• 1

• 0

• X + X'

• X*X'

If number of variables are 7, the possible number of minterms and maxterms

• 127 minterms, 127 maxterms

• 128 minterms, 128 maxterms

• 128 minterms, 0 maxterms

• 0 minterms, 128 maxterms

 $F\left(A,B,C\right)\ =\ \Sigma m\left(1,2,4,7\right)\ is\ equal\ to$  

•  $F\left(A,B,C\right)\ =\ \Sigma m\left(0,3,5,6\right)$  

•  $F\left(A,B,C\right)\ =\ \Pi M\left(0,3,5,6\right)\$  

•  $F\left(A,B,C\right)\ =\ \Pi M\left(1,2,4,7\right)$  

• None

A is a variable, According to boolean law: A + 1 = ?

• 1

• 0

• A

• A' ( ' represents complement)

The simplified result will be Y = (A'+B)+((AB')C)

• A'+B'+C'

• A+B'+C'

• A'+B'+C

• A'+B+C

X(X'+Y+X) the simplified result will be (use boolean laws)

• X

• X'

• Y

• X+Y

(X+Y)(X'+Y')(XY'+1)+X

• 1

• X+Y

• X+Y'

• X'+Y'