Convert each of the following to the other canonical form a

Convert each of the following to the other canonical form:

(a) F(x, y, z) = g(1, 3, 5)

(b) F(A, B, C, D) = w(3, 5, 8, 11)

Solution

(a) for 3 variables, total 8 terms will be there, starting from 0 to 7. Remaining terms will be used in other canonical form.

F(x, y, z) = w(2,4,6,7)

(b) for 4 variables, total 16 terms will be there, starting from 0 to 15. Remaining terms will be used in other canonical form.

F(A, B, C, D) = g(0,1,2,4,6,7,9,10,12,13,14,15)