errata F&M

Refer to F&M, Table E.6 p. 533

F1 = x.y' is not correct.

Simplify: F1 = x'y' + xy' + xy = x'y' + x(y' + y) = x'y' + x = y' + x (absorption rule applied - see F&M p 532 and tutorial letter 102 p 42.)

Thus F1 = x.y' should be changed to x + y'

Hi, I just realized that there are more exercises and explanations in tut 102. Thanks.

On the errata. Is it not that x'y' + xy = 1? as per the compliment rule. If so then the book is right, because the first and the last terms a compliments of each other. But on the other hand, your answer also looks right?


I quickly started to work out some of the exercises in tut102, but came across the following where I get two different answer depending on what route I take.

Tut102, Exercise E.2, page 39

A = 0, B = 1, C = 1 and D = 0.
e) AB' + (B + D)

route 1:
AB' + (B + D) = 0dot0 + (1 + 0) = 0 + 1 = 1

route 2:
AB' + (B + D) = (AB' + B )dot(AB' + D) distributive = (0 + 1) dot (0 + 0) = 0


I am definitely missing something...

Please help!...

The complement of xy is (xy)' (= x' + y', not x'y'

AB' + (B + D) = AB' + B + D = 1 - no factorisation.