Define minterm and the maxterm - canonical form, Computer Engineering

Assignment Help:

Define Minterm and the Maxterm - Canonical Form?

Any Boolean expression perhaps expressed in terms of either minterms or maxterms. The literal is a single variable within a term which may or may not be complemented. For an expression with the N variables, minterms and maxterms are defined as follows:

A minterm is the product of the N distinct literals where each literal occurs exactly once.

A maxterm is the sum of the N distinct literals where each literal occurs exactly once.

For the two-variable expression, the maxterms and minterms are as follows

X

Y

Minterm

Maxterm

0

0

X'.Y'

X+Y

0

1

X'.Y

X+Y'

1

0

X.Y'

X'+Y

1

1

X.Y

X'+Y'

For a three-variable expression, the maxterms and minterms are as follows

X

Y

Z

Minterm

Designation

Maxterm

Designtion

0

0

0

X'.Y'.Z'

m0

X+Y+Z

M0

0

0

1

X'.Y'.Z

m1

X+Y+Z'

M1

0

1

0

X'.Y.Z'

m2

X+Y'+Z

M2

0

1

1

X'.Y.Z

m3

X+Y'+Z'

M3

1

0

0

X.Y'.Z'

m4

X'+Y+Z

M4

1

0

1

X.Y'.Z

m5

X'+Y+Z'

M5

1

1

0

X.Y.Z'

m6

X'+Y'+Z

M6

1

1

1

X.Y.Z

m7

X'+Y'+Z'

M7

 Consider a function F= x'y'z+xy'z'+xyz=m1+m4+m7

If we take the complement of F then F'= (x+y+z')(x'+y+z)(x'+y'+z')=M1.M4.M7

Any Boolean function can be expressed as a product of Maxterms and Sum of Minterms.


Related Discussions:- Define minterm and the maxterm - canonical form

Introduction to information distribution, INTRODUCTION : Like any other of...

INTRODUCTION : Like any other office we need equipment to provide for information distribution in the laboratory office also. For information distribution we require multiple copi

Explain redundant array of independent disks levels, Q. Explain Redundant A...

Q. Explain Redundant Array of Independent Disks levels? One such industrial standard that exists for multiple-disk database schemes is called as RAID which implies Redundant Ar

Existential construction - artificial intelligence, The English existential...

The English existential construction involves so-called there-sentences such as these: (1)  There is a dog in the yard (2)  There were no children at the party (3)  There

What is the basic workflow order for color match, Question: (a) What is...

Question: (a) What is the difference between the Color Pass and the Color Replace effects? (b) What is the basic workflow order for Color Match? (c) Explain clearly the

Radius of curvature in differential calculas, find the radius of curvature ...

find the radius of curvature at the point (3,3) at a point x3+xy2-6y2=0?

Explain error-detection code, Q. (192.8)10 - (AE.E)16 = (X)8, Find value of...

Q. (192.8)10 - (AE.E)16 = (X)8, Find value of x. Use 8's complement method. Q. Write first 10 numbers in the base 4. Q. Explain Error-Detection code & Error-correction code w

C++, What are virtual Functions

What are virtual Functions

Describe about data warehouse development life cycle, Data Warehousing 1....

Data Warehousing 1.  With necessary diagram, Describe about Data Warehouse Development Life Cycle. 2. Elucidate Metadata and what is its use in Data Warehouse Architecture?

What do you understand by scan codes, Q. What do you understand by Scan Cod...

Q. What do you understand by Scan Codes? A scan code is a code produced by a microprocessor in keyboard when a key is pressed and is unique to key struck. When this code is rec

What is supply chain management, What is Supply Chain Management? Suppl...

What is Supply Chain Management? Supply Chain Management: Supply Chain Management includes developing the performance of an organization's supply chain from its suppliers to

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd