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 do you mean by inline function, The idea behind inline functions is to...

The idea behind inline functions is to insert the code of a known function at the point where the function is called. If done carefully, this can improve the application's performa

Java Programming, How to parse n size depth node in java and create output ...

How to parse n size depth node in java and create output in same tree format?

Explain the random scan and raster scan displays, Define Random scan/Raste...

Define Random scan/Raster scan displays?  Random scan is a method in which the display is made by the electronic beam which is directed only to the points or part of the screen

Define dma controller, Define DMA controller. The I/O device interface ...

Define DMA controller. The I/O device interface control circuit that is used for direct memory access is called as DMA controller.

Define the products of dynamic mode, Define the Products of Dynamic mode ...

Define the Products of Dynamic mode Dynamic model: A model of dynamic behaviour of user object.  It defines important states of user object, the way that actions depend on

What is metropolitan area network, Q. What is Metropolitan Area Network? ...

Q. What is Metropolitan Area Network? Metropolitan Area Network (MAN):  It is privately or public owned communication system that naturally covers a complete city. Speed is abo

Explain functions introduction, Common used functions are placed within lib...

Common used functions are placed within libraries in the SQABasic directory. Files ending with ".SBH" have the public interface they give to other libraries and scripts. Files endi

Explain the graphic display system, Q. Explain the graphic display system? ...

Q. Explain the graphic display system? The function of your graphic display system is to display bit-mapped graphics on your monitor.  The image displayed on your system so com

What is dots per inch, Q. What is Dots per Inch? DPI (Dots per Inch) is...

Q. What is Dots per Inch? DPI (Dots per Inch) is a measure for actual sharpness of onscreen image. This relies on both the resolution and size of the image. Practical experienc

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