CANONICAL MAXTERM
CANONICAL MAXTERM
Maxterm is a sum term in which the Boolean variable is either normal or in complemented form.
Steps to write the Boolean Maxterm expression:
Step 1:
A,B,C are the inputs and F is the output. To write the maxterm consider the rows which has the output F=0. In the above truth table M0, M2, M4, M6 have outputs ‘0’. The input which has the value ‘0’ is written as such and the input which has the value ‘1’ is complimented.
For example in the row 2, the output F=0 and the inputs A=C=0 and B=1. So the input B is complimented and A and C are written as such. So the maxterm is AB’C.
Step 2:
Considering all the rows which has the output ‘0’ the Maxterm can be written as
f= (A+B+C).(A+B’+C).(A’+B+C).(A’+B’+C)
It can also be written as
f(A,B,C)= M0+M2+M4+M6
Or f(A,B,C)=πM (0,2,4,6)
