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

Rational performance of an agent - artificial intelligence, Rational perfor...

Rational performance of an agent - artificial intelligence: To summarize, an agent takes input from its violence and affects that environment. The rational performance of an a

Disk operating system, Q. Disk operating system? The operating system (...

Q. Disk operating system? The operating system (OS) is the first program that should be loaded into the memory of your PC before you can use it for any application. You can st

Define the don''t care states - simplifying k maps, Define the Don't Care S...

Define the Don't Care States - Simplifying K Maps? The Truth table specifications for a logic function may not to include all possible combinations of the input binary digits for

Execution error and compilation error, Execution error and compilation erro...

Execution error and compilation error: Errors like as mismatch of data types or array out of bound error are called as execution errors or runtime errors. These errors are us

Determine the quivalence partitioning, Determine the quivalence Partitionin...

Determine the quivalence Partitioning? The division of domain data into dissimilar equivalence data classes is performed using Equivalence Partitioning. It is executed for redu

Give explanation about the use of SSL to secure the network, Give explanati...

Give explanation about the use of SSL to secure the network. SS L stands for Secure Sockets Layer is a protocol developed through Netscape for transmitting private document

Recursive procedures are implemented, Recursive procedures are implemented ...

Recursive procedures are implemented by using Recursive procedures are executed by using stacks due to stacks are LIFO data structure and we require this feature to store retur

Define instruction code, Define Instruction Code. An Instruction code i...

Define Instruction Code. An Instruction code is a group of bits that instructs the computer to perform an exact operation. It is usually separated into parts, each having its o

Temporary registers w and z, Why the temporary registers W and Z are named ...

Why the temporary registers W and Z are named so I mean we start from A,B,C,D,E then H and L coz H stands for higher bit nd L for lower bit of the address pointed by memory pointer

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