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

Show the example of internet address, Q. Show the example of internet addre...

Q. Show the example of internet address? The following can be a typical person understandable address on Internet: VVS @ expertsmind.us VVS is an username which in gene

Mobile cameras, Mobile cameras are characteristically low-resolution Digita...

Mobile cameras are characteristically low-resolution Digital cameras integrated in mobile set. Photographs are characteristically only good enough to show on low resolution mobile

Cn, What is the basic requirement for establishing VLANs?

What is the basic requirement for establishing VLANs?

Role of world wide web in the field of e-commerce, Explain the role of Worl...

Explain the role of World Wide Web in the field of e-commerce.  In the 1990s, the arrival of the World Wide Web on the Internet had shown a turning point in e-commerce by givin

NETWORK ADMIN, Ask qDiscuss the risks of having a single root user and how ...

Ask qDiscuss the risks of having a single root user and how more limited management abilities can be given to others users on Linux/UNIX systems.uestion #Minimum 100 words accepted

Describe functions of data flow diagram, Describe functions of data flow di...

Describe functions of data flow diagram After you have roughly designed data flow diagram, you could write a description of each function and you could describe the function i

Explain the term - ancestors, Explain the term - ancestors The ancestor...

Explain the term - ancestors The ancestors of modern age computer were mechanical and electro-mechanical instruments. This ancestry can be traced as back and seventeenth centur

Is strategy - information system, IS strategy - Information System As ...

IS strategy - Information System As an operations manager when attempting to navigate your organisation through the information landscape and make best use of the available sy

Display frames (horizontal and vertical lines) in lists, How can you displa...

How can you display frames (horizontal and vertical lines) in lists? You can show tabular lists with horizontal and vertical lines (FRAMES) using the ULINE command and the syst

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