Boolean Functions Quiz

How many minterms exist for a Boolean function with 3 variables (A, B, C)?

• 4

• 6

• 8

• 16

Which of the following Boolean expressions is in canonical SOP form?

• AB + BC

• A'B + BC'

• A'B'C + AB'C + ABC

• (A + B)(B + C)

What is the canonical SOP form of the minimal expression F(A,B)=A+B?

• A'B + AB

• AB' + A'B

• A'B + AB + AB'

• A'B + AB + AB' + A'B'

Which of the following steps is necessary when converting a minimal SOP to a canonical SOP?

• Expanding all terms to include all variables

• Removing redundant terms

• Combining terms using Boolean algebra

• Using K-Map simplification

Which of the following is the correct conversion of the minimal POS expression (A+B)(B+C′) to canonical POS?

• (A + B)(B + C)(B + C')

• (A + B + C)(A + B + C')

• (A + B + C)(A + B' + C)(A + B' + C')

• (A + B + C)(A + B' + C)(A' + B + C')

Which of the following statements about SOP and POS is correct?

• SOP form is obtained using maxterms

• POS form is obtained using minterms

• The number of terms in minimal SOP and minimal POS forms is always the same

• Canonical SOP and Canonical POS represent the same function but in different forms

For an SOP expression to be in its canonical form, what must be true for each term?

• It must contain all variables in either complemented or uncomplemented form

• It must have a minimal number of literals

• It must be simplified using Boolean algebra

• It must have at most two variables per term

Minterm and maxterm denote the _____________ and ____________term respectively.

• sum and product term

• product and sum term

• sum and sum term

• product and product term