Given the following Boolean function of four variables
f(A, B, C, D) = Σ(2, 3, 6, 7, 8, 9, 10, 11, 12, 13)
using K-map ,
| C'D' | C'D | CD | CD' |
A'B' | | | 1(3) | 1(2) |
A'B | | | 1(7) | 1(6) |
AB | 1(12) | 1(13) | | |
AB' | 1(8) | 1(9) | 1(11) | 1(10) |
So , the output function is f(A,B,C,D)
f = A'C + AC' + AB'
function f is dependent on A , B and C ,
and function f is independent on D only ,
hence option (A) is TRUE .