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

Computer Architecture, can u please tell me the assembly language program f...

can u please tell me the assembly language program for carry look ahead adder that can run in 8086 emulator?? its urgent

Explain the main tags of wireless markup language, Discuss the main tags of...

Discuss the main tags of WML. Tag Definition of Wireless Markup Language: This defines the starting and the ending of the page, as .   this explains

Dataflow computing, Dataflow Computing A different to the von Neumann m...

Dataflow Computing A different to the von Neumann model of computation is the dataflow computation model. In a dataflow model, control is fixed to the flow of data. The order o

Minimum total number of shelv, Write a program that finds the minimum total...

Write a program that finds the minimum total number of shelv, C/C++ Programming

What is a heap dump, Thread Dump: When we trigger a thread dump on an appli...

Thread Dump: When we trigger a thread dump on an application server, all active thread informations will be deserted into file which is called as thread dump. Here, we can get info

How do you perform functional testing under load, Functionality under load ...

Functionality under load can be tested by running various Vusers concurrently. By enhancing the amount of Vusers, we can verify how much load the server can sustain.

Using bit wise operator implement nor and nand gate, Q. Write a program t...

Q. Write a program to implement NOR, NAND, XOR and XNOR gates using and without using bit wise operator. Also perform necessary checking. The user has option to give n numbe

The alignment of a type ''c'' field in a report, The alignment of a type 'c...

The alignment of a type 'c' field in a report is? ? Left Aligned.

Functions employed for messaging passing, Q. Functions employed for messagi...

Q. Functions employed for messaging passing? The functions employed for messaging passing are: int MPI_Send(void *msgaddr, int count, MPI_Datatype datatype, int dest, int ta

Vector-scalar instructions- vector processing, Vector-Scalar Instructions :...

Vector-Scalar Instructions : In this type, when the combination of vector and scalar are fetched and saved in vector register. These instructions are denoted with the many function

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