$$. \sum _ {x \in E } For example, if a boolean equation consists of 3 variables, then the number of rows in the truth table is 8. Find the shorthand notation for the minterm ABâC. This page was last edited on 30 May 2020, at 06:28. Answer: d Explanation: The expression for Associative property is given by A+(B+C) = (A+B)+C & A*(B*C) = (A*B)*C. as a non-empty set with the operations  C , into  \mathfrak O (X) ; 1 - Identity element :  0  is neutral for logical OR while  1  is neutral for logical AND$$ a + 0 = a \\ a.1 = a  2 - Absorption : $1$ is absorbing for logical OR while $0$ is absorbing for logical AND These laws use the OR operation. into a Boolean algebra $Y$ The basic operations of Boolean algebra are as follows: Below is the table defining the symbols for all three basic operations. Boolean Algebra: Boolean algebra is the branch of algebra that deals with logical operations and binary variables. a set of the form $\{ {x \in X } : {x \leq u } \}$; AND law f _ {i} : \ is interpreted as the probability of an event $x$. 1. write the term consisting of all the variables ABâC 2. replace all complement variables with 0 So, Bâ is replaced by 0. A Boolean algebra is a lattice (A,