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

How to clear a datagrid on a button click, How to clear a datagrid on a but...

How to clear a datagrid on a button click? You require to Clear the DataSource of the dataGrid. So try this: dataSet1.Clear(); dataGrid1.DataSource = dataSet1.TableNam

What is dynpro, What is dynpro?What are its components ? A dynpro (Dyna...

What is dynpro?What are its components ? A dynpro (Dynamic Program) having of a screen and its flow logic and controls exactly single dialog steps. The dissimilar components

State the benefits of encapsulation, State The Benefits of Encapsulation ...

State The Benefits of Encapsulation To hide the details of a class, you can declare that data or implementation in the private part of class so that other class clients will n

What happens to logic after synthesis, What happens to logic after synthesi...

What happens to logic after synthesis, which is driving an unconnected output port that is left open (, that is, noconnect) during its module instantiation? An unconnected out

Determine the function of dynamic model, Determine the function of Dynamic ...

Determine the function of Dynamic model Dynamic model: Dynamic model describes how system responds to external events. The implementation of the control flow in a program must

Define checkbox in html, Q. Define Checkbox in html? Checkboxes are use...

Q. Define Checkbox in html? Checkboxes are used when one or more out of the group of options is to be chosen. Building Check boxes is very similar to radio buttons. Figure expl

Where engaged tone is generated, E ngaged tone is generated in the: (...

E ngaged tone is generated in the: (A)  Telephone instrument of calling subscriber (B)  Telephone instrument of called subscriber (C)  Exchange (D)  Repeater

What is micro operation, What is micro operation? A micro operation is ...

What is micro operation? A micro operation is an elementary operation performed with the data kept in registers.   1) Register transfer microoperation transfer binary inform

Parallelism based on granularity size-granularity, Parallelism based on G...

Parallelism based on Granularity size Granularity:  Granularity or Grain size is a determine which measure how much computation is devoted in a process.Granularity size is

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