This document presents an algebraic Boolean expression and simplifies it through a series of steps. The initial expression is (b + 1) · a · a' + c · c + b · 0 + c = a + c. Through algebraic manipulation of Boolean operators like +, ·, and ', this expression is simplified down to the single term ab'.

1. Algebra de Bool
S = (b + 1) · a · a’ + c · c + b · 0 + c = a + c
0 c 0
1 1 1 1
S = a’bc’ + bc · (c’ + 1) + abc’ · (a + a’) = a’bc’ + bc + abc’ = (a’ + a) · bc’ + bc = b · (c’ + c) =
b
S = ab’c + ab’c’d + ab’ = ab’ (c + c’ · d + 1) = ab’
1