2. • Here is the three-variable truth table and
the corresponding maxterms:
3. • Like minterms, maxterms also provide a
way to represent any boolean function
algebraically once its truth table is
specified.
• The function is given by the product
(AND) of those maxterms corresponding
to rows where the function is zero. By the
maxterm property, the AND will contain a
term equal to 0 (making the function 0 )
on exactly those rows where the function
is supposed to be 0 .
• Example: for the same function as
previously, we observe that it is 0 on rows
4. • This form also lends itself to a compact
notation: using the Greek letter capital pi
to denote a product, we write only the
numbers of the maxterms included in :
• Two boolean functions are equivalent if
their pi forms are the same.
