Maxterm Designation

This is another way to represent a maxterm. A binary pattern of maxterm is formed by using 0 corresponding to the variable and 1 corresponding to the complement of variable. The decimal equivalent of binary pattern used as subscript with letter M, is known as Maxterm designation.

Steps to obtain Maxterm designation:

  1. Find binary pattern by writing 0 for the variable and 1 for the complement of the variable.
  2. Find decimal equivalent of the binary pattern.
  3. Use decimal number as a subscript of the letter M.

Example:

Find Maxterm Designation of (A’ + B + C)

Binary pattern of maxterm (A’ + B + C): 100

Decimal Equivalent of binary pattern 100: 4

Hence, maxterm designation of (A’ + B + C) is: M4

Find Maxterm Designation of (A + B + C)

Binary pattern of maxterm (A + B + C): 000

Decimal Equivalent of binary: 0

Hence, maxterm designation of (A + B + C) is: M0

What is MAXTERM

Maxterms are defined as the sum of distinct literals, and they are used to represent Boolean functions that equal 0. In this article we will know What is Maxterm, how to find Maxterm designations and their cardinal form. This article covers two-variable, three-variable, four-variable maxterm with their K-Map, conversion from cardinal form to Maxterm expressions with examples and also the advantages and disadvantages of using Maxterms.

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What is Maxterm?

Maxterm is a fundamental part of Boolean algebra. Maxterms are the sum of various distinct literals in which each literal occurs exactly once (in either its complement or un-complement form). The output result of the maxterm function is 0. It is represented by M. To represent a function, we perform the product of maxterms which is called the Product of Sum (POS) or maxterm expression....

Maxterm Designation

This is another way to represent a maxterm. A binary pattern of maxterm is formed by using 0 corresponding to the variable and 1 corresponding to the complement of variable. The decimal equivalent of binary pattern used as subscript with letter M, is known as Maxterm designation....

Two-Variable Maxterm

Maxterms for two variables are called two-variable maxterm....

Three Variable Maxterm

Maxterms for three variables are called three variable maxterm....

Four Variable Maxterm

Maxterms for four variables are called four variable maxterm....

Cardinal Form of Maxterm Expression

A boolean function which is defined by using maxterm designations is known as cardinal form of maxterm expression....

Conversion from Cardinal Form to Max Term Expression

A maxterm expression can be obtained from a given boolean function in cardinal form by using the following steps:...

Advantages:

Maxterms can be used to represent all possible Boolean functions. They can be used to simplify Boolean expressions....

Disadvantages:

Maxterms can lead to more complex expressions than minterms. They can be more difficult to understand and analyze than minterms....

FAQs:

Q.1: Why are maxterms used for?...