Question

2.7 Exercises 43 4. Prove each of the following identities by using the algebraic rules (no truth tables). Several steps may be combined, but make sure that each step is clear (a) a'b b'c + a'c (b) а'd + ac (c) xz' + x'y' + x'z + y'z = y' + x'z + xz' (d) ad' a'b' + c'd + a'c' + b'd = ad' + (bc' (e) xy' z(x' + y + w) (f) a'z' yz + xy' = y'z' x'y + xz. (g) a'y'z' yz + (wz")'2' + x'yz' + w'xy + xy'z' a'b b'c ac cda'c'd = = z + xy'. w'xy yz + æ'z' + y'z'

Answer 1