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

Concurrently read exclusively write, Q. Concurrently read exclusively write...

Q. Concurrently read exclusively write? It's one of the models based on PRAM. In this model, processors access the memory location simultaneously for reading whereas exclusivel

Write unix commands, For the following, cmd1 and cmd2 are arbitrary UNIX co...

For the following, cmd1 and cmd2 are arbitrary UNIX commands, and file1 and file2 are files owned by you. Write UNIX (bash) commands to: (a) Run cmd1 and append its output to f

Structural classification-flynns classification , Structural Classification...

Structural Classification Flynn's classification examine the behavioural concept and does not receive into consideration the computer's structure. Parallel computers can be cla

Explain the parallel data storage - application of flip flop, Explain the P...

Explain the Parallel Data Storage - application of flip flops? In digital systems, data are usually stored in groups of bits that represent numbers, codes, or other information

what respects the advance builds, Describe your choice specifically and fu...

Describe your choice specifically and fully, explaining and discussing at length in what respects the advance builds upon or departs from present technology or practice and the sev

Define process of instruction execution, Instruction execution is performed...

Instruction execution is performed in CPU registers. Although before we define process of instruction execution let's first give details on Registers (temporary storage location in

Evaluate an interactive product using suitable techniques, This assignment ...

This assignment is based around two UK websites. In order to avoid difficulties such as the websites changing, or disappearing, we have downloaded these websites and you can find t

Illustrate shift micro-operations, Q. Illustrate Shift Micro-operations? ...

Q. Illustrate Shift Micro-operations? Shift is a valuable operation that can be used for serial transfer of data. These operations can also be used along with other (arithmetic

Explain dynamic server creation briefly, Explain dynamic server creation br...

Explain dynamic server creation briefly. Dynamic Server Creation: If only one server handles one request at a time, each client should wait while the server fulfils the on

What is magento, Magento is a feature-rich eCommerce platform built on open...

Magento is a feature-rich eCommerce platform built on open-source technology that gives online merchants with unprecedented flexibility and control over the look, content and funct

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