Standard Forms of Boolean Expressions

Question 1

Describe SOP

Answer 1

SOP is when two or more product terms are summed by Boolean addition, the resulting expression is a sum-of-products (SOP).

e.g AB + BC

Question 2

Give an exception in SOP

Answer 2

n an SOP expression, a single overbar cannot extend over more than one variable; however, more than one variable in a term can have an overbar.

Question 3

What is Standard SOP

Answer 3

A standard SOP expression/form is one in which all the variables in the domain appear in each product term in the expression.
e.g  ABCD + A’B’CD

Question 4

Describe POS

Answer 4

POS is when two or more sum terms are multiplied, the resulting expression is a product-of-sums (POS). e.g (A+B)(B+C)

Question 5

What is Standard POS

Answer 5

A standard POS expression is one in which all the variables in the domain appear in each sum term in the expression.

Question 6

What is the binary representation of SPOS. Give example

Answer 6

1;
ABC’D’ = 1.1.0’.0’ = 1.1.1.1 = 1

Question 7

What is the binary representation of SSOP Give example

Answer 7

0;
A + B + C’ + D’ = 0 + 0 + 1’ + 1’ = 0+0+0+0 = 0