Literal:
A literal is a variable or its negation.
Here are some examples of literals in digital logic:
- A variable: A, B, C, D
- The complement of a variable: A’, B’, C’, D’
Minterm:
The product of all literals, either with complement or without complement, is known as minterm.
• In this term, 0 is represented in complemented form.
• It is denoted by ‘m‘/ ƒ=∑m.
Maxterm:
The sum of all literals, either with complement or without complement, is known as maxterm.
• In this term, 1 is represented in complemented form.
• It is denoted by ‘M‘ / ƒ=πM.
Maxterm from values
Using the given variable values, we can write the maxterm as:
• If the variable value is 0, then we will take the variable without a complement.
• If the variable value is 1, take the complement of the variable.
Domain of Boolean expression:
The domain of boolean expression is the set of variables contained in the expression in either complemented or uncomplemented form.
for example:
The domain of the boolean expression, A'B+AB'C is the set of variables A,B,C
