How to Simplify These Complex Boolean Algebra Equations?

[mr9]

Homework Statement

Simplify these equations and functions

1. xyz’ + x’ (x + z) + x’yz + x’y’z’
2. xy (z + z’) + x’y’z
3. wxyz + w’xy’z + wx (y’ + z) + w’x’z
4. F(A, B, C, D, E) = ∑(0, 1, 5, 6, 13, 15, 20, 21, 22)
5. F(w, x, y, z) = ∑(0, 1, 2, 3, 11, 13, 15)

Homework Equations

The Attempt at a Solution

5. F( W, X, Y, Z ) = X'Y' + X'Z + XY + YZ'

 

[quasar987]

Care to explain your notation? Is ' the complement or something?

 

[mr9]

(') means prime.
We must be able to simplify these statements so that we can create a circuit diagram out of it using circuit maker. Xor, AND, and NAND Gates