- #1
doktorwho
- 181
- 6
Homework Statement
Prove that $$(\bar{a} + b)(b+c) + a\bar{b}$$ where ##a,b## can be from the set ##B\in\{0, 1\}## equals $$a+b+c$$
Homework Equations
Rules of Boolean Algebra
3. The Attempt at a Solution [/B]
My attempt:
##\bar{a}b + \bar{a}c + bb + bc + a\bar{b}##
##b(\bar{a} + 1+c) + \bar{a}c + a\bar{b}##
##b +\bar{a}c + a\bar{b}##
##b(\bar{a} + a) + \bar{a}c + a\bar{b}##
##b\bar{a} +ba + \bar{a}c + a\bar{b}##
##b\bar{a} + a + \bar{a}c##
and am stuck, can't get rid of these ##\bar{a}, \bar{b}##, could you help?