Which of the following is correct for f(x, y, z) =Σ(0, 2, 4, 5, 6) ?

The Boolean function is defined by minterms 0, 2, 4, 5, and 6.

Convert minterms to binary: 0 (000), 2 (010), 4 (100), 5 (101), 6 (110).

Using a Karnaugh map, minterms 0, 2, 4, and 6 form a group of four where z = 0. This simplifies to the term z'.

The remaining minterm 5 can be grouped with minterm 4. This pair corresponds to x = 1 and y = 0, simplifying to the term xy'.

Combining these results yields the simplified expression f = xy' + z'.