2. • A MINTERM (PRODUCT) IS A COMBINATION OF VARIABLES :
• IT HAS A VALUE OF 1 FOR ONLY ONE INPUT COMBINATION.
• IT IS 0 FOR ALL THE OTHER COMBINATIONS OF VARIABLES.
• A MINTERM OF N VARIABLES IS THE PRODUCT OF N LITERALS IN WHICH EACH
VARIABLE APPEARS ONCE IN EITHER A COMPLEMENTED OR UNCOMPLEMENTED
FORM.
• FOR EXAMPLE: IF A FUNCTION OF 3 VARIABLES X,Y AND Z PRODUCES AS 1
OUTPUT FOR XYZ=010, 100, 111, THEN IT CAN BE WRITTEN AS F= X'YZ'+ XY'Z'+
XYZ.
3. • IF A MINTERM HAS A SINGLE 1 AND THE
REMAINING CELLS AS 0'S, IT WOULD
APPEAR TO COVER A MINIMUM AREA OF
1'S.
• IT IS STANDARD SUM-OF-PRODUCTS
(SOP).
• F= A'BC+AB'C'+AB'C+ABC HAS FOUR
MINTERMS.
• THIS FUNCTION WILL BE WRITTEN AS
F= Σ M(3,4,5,7).
4.
5. • A MAX (SUM) TERM IS ALSO A UNIQUE COMBINATION OF VARIABLES :
• HOWEVER, IT IS OPPOSITE OF MINTERMS.
• IT HAS A VALUE OF 0 FOR ONLY ONE INPUT COMBINATION.
• IT IS 1 FOR ALL THE OTHER COMBINATIONS OF VARIABLES.
• THAT IS WHY, IT IS CALLED MAX (SUM) TERMS.
FOR EXAMPLE: THE SAME FUNCTION OF 3 VARIABLES X,Y AND Z PRODUCES
AS 0 OUTPUT FOR XYZ=000, 001, 011, 101, 110, THEN
F= (X+Y+Z).(X+Y+Z').(X+Y'+Z').(X'+Y+Z').(X'+Y'+Z)