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:
- Find binary pattern by writing 0 for the variable and 1 for the complement of the variable.
- Find decimal equivalent of the binary pattern.
- 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
Conversion From Minterm Expression to Maxterm Expression
Minterm is the product of N distinct literals where each literal occurs exactly once. The output of the minterm functions is 1. Maxterm is the sum of N distinct literals where each literals occurs exactly once. The output of the maxterm functions is 0. The conversion from minterm to maxterm involves changing the representation of the function from a Sum of Products (SOP) to a Product of Sums (POS).
In this article, we will cover prerequisites like minterm, maxterm, minterm designation, maxterm designation, conversion from Cardinal form to Minterm Expression, and conversion from Cardinal form to Maxterm Expression with a detailed explanation of conversion from minterm expression to maxterm expression with solved examples and FAQs.