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

What are benefits and advantages of linq, Benefits and benefits of LINQ are...

Benefits and benefits of LINQ are: 1. Makes it simpler to transform data into objects. 2. A common syntax for all data. 3. Strongly typed code. 4. Provider integration.

Explain new services of cpu based exchange, Explain new services of  CPU B...

Explain new services of  CPU Based Exchange. These new services are termed as supplementary services and several of the prominent ones are given below as:  Category 1:

Compare putchar function with the getchar function, Normal 0 fa...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

cell array to a spreadsheet, The xlswrite function can write the contents ...

The xlswrite function can write the contents of a cell array to a spreadsheet.  A manufacturer kepts information on the weights of some parts in a cell array.  Every row stores the

Interpolation search, Interpolation Search The next task is to implemen...

Interpolation Search The next task is to implement a variable size decrease-and-conquer solution to search. See Levitin [2007] pp 190 for a detailed description of the interpol

What is the linkage section used for, The linkage section is used to pass d...

The linkage section is used to pass data from one program to one more program or to pass data from a PROC to a program.

Explain about floating point representation, Q. Explain about Floating Poin...

Q. Explain about Floating Point Representation? Floating-point number representation includes two parts. The first part of number is a signed fixed-point number which is called

Digital forensics, a) What do you meant by digital forensics? b) What ...

a) What do you meant by digital forensics? b) What is the job of Computer Forensic Analyst c) From the point of view of : i. An employer ii. An employee Give thre

Connectives - first-order logic , Connectives - first-order logic: We ...

Connectives - first-order logic: We can string predicates all together in a sentence by using connectives into the same way to conduct that we did for propositional logic. We

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