According to the Law of Absorption, A+(A*B) = A. Boolean B is "absorbed" by A.
Similarly, A*(A+B) = A.
a ⊕ b = ab' + a'b
11 + ab is the expression.
Do you mean F = abc + abc + ac + bc + abc' ? *x+x = x F = abc + ac + bc + abc' *Rearranging F = abc + abc' + ab + bc *Factoring out ab F = ab(c+c') + ab + bc *x+x' = 1 F = ab + ab + bc *x+x = x F = bc
ab increased by 2
Here are some rules that can help you simplify such expressions, in some cases. (ab)c=abc abac = ab+c ab/ac = ab-c
-5ab + 7ab -9ab + ab -2ab ... Let's simplify that a bit:ab(-5+7-9+1-2) = -8ab
The expression, as given, cannot be factorised.
This expression can be factored. ab + 3a + b2 + 3b = a(b + 3) + b(b + 3) = (a + b)(b + 3)
It is an expression and a term that are of equal value
ab * -b = -ab^-2
If the inputs are ABC. The inputs required to give an output are ABC, AB, AC and BC. Using the Absorption law X + X.Y = X we can remove ABC, the inputs required are therefore AB, AC and BC.
The expression is: ab-18