Evaluate \$(\overline ABC\oplus A\overline B) + (\overline AB)\$

Question

I'm struggling with evaluating this one:

\$(\overline ABC\oplus A\overline B) + (\overline AB)\$

I've got to

\$A\oplus B + A\overline B \overline C +\overline ABC\$

But how do I prove that \$A\overline B \overline C +\overline ABC = 0\$

Edit: The answer is \$A\oplus B\$

+1 for properly figuring out mathJax for boolean algebra. The anwering people can take an example from you. — jippie, Feb 12 '16 at 20:18

score 4 · Answer 1 · edited Feb 12 '16 at 11:42

4

Here is the answer:

Hope this help

edited Feb 12 '16 at 11:42

Roh

answered Feb 12 '16 at 11:03

Pakito

score 3 · Accepted Answer · answered Feb 12 '16 at 10:52

3

A⊕B is AB(Bar)+A(bar)B

So the Expanded equation is

AB(Bar)+A(bar)B+AB(bar)C(bar)+A(bar)BC

Taking Common factors out

A(bar)B(1+C(bar))+AB(bar)(1+C)

1+ anything is always 1

So we Have A(bar)B+AB(bar) which is A(exor)B

answered Feb 12 '16 at 10:52

Krishna P S

2 Answers2