chapter 5 Part 2

Question 1

Two Types of Standard Forms of Logical Expression

Answer 1

1. SOP Standard form - sum-of-products form (SOP or Minterm)
2. POS Standard form - product-of-sums form (POS or Maxterm)

Question 2

These forms can simplify the implementation of combinational logic, particularly with PLDs. In both forms, an overbar cannot extend over more than one variable.

Answer 2

SOP and POS forms

Question 3

An expression is in ____ form when two or more product terms are summed

Answer 3

SOP

Question 4

An expression is in _____ form when two or more sum terms are multiplied

Answer 4

POS

Question 5

In ___________________, every variable in the domain must appear in each term. This form is useful for constructing truth tables or for implementing logic in ________________________

Answer 5

SOP standard form, Programmable Logic Devices.

Question 6

Sum Of Products (SOP) is a Boolean expression containing _____ term called _____________ of one or more literals each. The sum denotes the ORing of these terms.

Answer 6

AND, product terms

Question 7

Footnote

You can expand a nonstandard term to standard form by multiplying the term by a term consisting of the sum of the missing variable and its complement.

readings

Question 8

In __________________, every variable in the domain must appear in _________ term of the expression.

Answer 8

POS standard form, each sum

Question 9

In ______________, every variable in the domain must appear in each sum term of the expression.

Answer 9

POS standard form

Question 10

Product of Sums (POS) is a Boolean expression containing ____ terms called ___________. Each term may have any number of literals. The product denotes the ANDing of these terms.

Answer 10

OR, sum terms

Question 11

Footnote

You can expand a nonstandard POS expression to standard form by adding the product of the missing variable and its complement and applying rule 13 in Boolean algebra, which states that (A + B)(A + C) = A + BC.

Readings

Question 12

It is a graphical tool used to simplify a logic equation or to convert a truth table to its corresponding logic circuit in a simple, orderly process.

Answer 12

Karnaugh maps

Question 13

It is also a graphical representation used in analyzing and simplifying logical diagrams.

Answer 13

Karnaugh maps

Question 14

It is a chart or grid containing boxes called cells, each of which represents one of the 2n possible products that can be formed from n variables.

Answer 14

Karnaugh maps

Question 15

The expression for output X can be simplified by properly combining those squares in the K-map which contains 1’s. The process of combining these is called __________

Answer 15

Looping

Question 16

These are the logic conditions that we do not care whether the output is HIGH or LOW. Don’t Care conditions usually mark as ‘x’ on K-map. Don’t care condition can be treated as logic 1 or logic 0. This means that we can use the don’t care to simplify the logic circuits.
#Footnote
Readings

Question 17

These are the logic conditions that we do not care whether the output is HIGH or LOW. Don’t Care conditions usually mark as ‘x’ on K-map. Don’t care condition can be treated as logic 1 or logic 0. This means that we can use the don’t care to simplify the logic circuits.
#Footnote
Readings