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

Explain the concept behind pre-compositing adobe, Question 1: (a) Expl...

Question 1: (a) Explain the concept behind Pre-Compositing Adobe After Effects. (b) Briefly describe the Wiggler function in Animation help in Adobe After Effects. (c)

Use of intrinsic functions in fortran, Q. Use of Intrinsic Functions in FOR...

Q. Use of Intrinsic Functions in FORTRAN? HPF initiates some new intrinsic functions also to those defined in F90. The two mainly often used in parallel programming are system

Computer systems architecture, Assume that you are working in a software co...

Assume that you are working in a software company as a programmer and a bank is your company's client. The Bank is a most popular and one of the leading banks in Malaysia. Your

What are the facilities of a debug monitor, What are the facilities of a de...

What are the facilities of a debug monitor? The facilities of a debug monitor are given below: a. Setting breakpoints into the program b. Initiating a debug conversation

How are connections managed in orbix connect, The Orbix Connect resource ad...

The Orbix Connect resource adapter is packaged as a standard J2EE Connector Architecture resource adapter archive (RAR) file, corbaconn.rar. The corbaconn.rar file having all the c

Determine about selective set- logic micro operations, Selective set Th...

Selective set The selective-set operation sets to 1 bits in register A where there can corresponding 1's  in  register  B.  It  does  not  affect  bit  positions  which  have

Ecommerce concepts, Your task is to propose a business that has a Web ...

Your task is to propose a business that has a Web presence on the Internet. Your business may be an online only business or a so-called "clicks and mortar" business. You

What are the properties of electronic cash, What are the properties of elec...

What are the properties of electronic cash? Properties: 1. Monetary Value: Monetary value should be backed by bank certified cashier’s cheque or cash, bank authorized cred

Two "next screen "attributes, Of the two "next screen "attributes the attri...

Of the two "next screen "attributes the attributes that has more priority is?? Dynamic.

Importance of barrier free design and web accessibility, Problem: (a) ...

Problem: (a) Accessibility can be classified as below: (i) Barrier-free design (ii) Web accessibility. Describe the importance of barrier free design and web accessibi

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