Question

Let the 6-tuple <B,+,*, c,0,1> be a Boolean algebra where B is a set, + and * the sum and the product operators respectively, 0 and 1 the zero and the unit elements respectively and c the complement operator.

If b is an element of the set B, what is the dual of the Boolean expression b + 1 = 1?

a) b * 1 = 1.
b) b * 1 = 1.
c) b + 0 = 0.
d) b * 0 = 0.
e) b * A = A.

Answer 1

change the operator. If b+1 = b, then b is the + identity (0)
So, change the operator and the identity element:

1*b = b

Answer 2

please answer

Answer 3

A
C