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

Device drivers in windows system, Q. Device drivers in Windows system? ...

Q. Device drivers in Windows system? In Windows system device drivers are implemented as dynamic link libraries (DLLs). This scheme has advantages which DLLs comprises sharea

Describe the analytical engine by babbage, THE ANALYTICAL ENGINE BY BABBAGE...

THE ANALYTICAL ENGINE BY BABBAGE: It was general use computing device that could be used for performing any types of mathematical operation automatically. It contains the follo

Characteristics of large register file, Characteristics of large-register-f...

Characteristics of large-register-file and cache organizations Large Register File Cache Hold local variables for almost all functio

What is reification and behaviour, What is reification and behaviour? R...

What is reification and behaviour? Reification is the promotion of something that is not an object into an object. Behavior usually requires this description. It isn't usually

Queue, write a program insert and remove value in queue.

write a program insert and remove value in queue.

Flat, nfa significance

nfa significance

How a physical addressing is performed in wan, How physical addressing is p...

How physical addressing is performed in WAN? WAN networks operate as similar to a LAN. All WAN technology classifies the exact frame format a computer uses while sending and re

Explain form and input tag, Q. Explain FORM and INPUT Tag? A good way t...

Q. Explain FORM and INPUT Tag? A good way to learn about forms is to make use your notepad editor and make a new HTML document. Save it as form1.htm in some folder somewhere. Y

Quiz help, which two class die class contain in computer programing.

which two class die class contain in computer programing.

State about the behavioral modeling, State about the Behavioral modeling ...

State about the Behavioral modeling Behavioral means how hardware behaves determine exact way it works we write using HDL syntax. For complex projects it's better mixed approac

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