An Outline of this TutorialHere's a quick look at what this tutorial covers. Boolean algebra, the algebra of logic, is also known as switching algebra.BINARY DECISIONAny decision which results into a YES (TRUE) or NO (FALSE) is called a binary decision.
LOGICAL OPERATIONS• Logical function or Compound statement. Algebraic variables like a, b, c, x, y etc. are combined with help of mathematical operators like +,,x,/. Similarly, logical statements or truth functions are combined with help of logical operators to form a logical function. For example :He prefers tea not coffee. He plays piano and she plays sitar. On Sundays, I watch TV or go for swimming. The AND, OR, NOT are the logical operators.
• Logical operators
TRUTH TABLEA truth table is a table which represents all the possible values of logical variables along with all possible results of given combinations of values. BOOLEAN EXPRESSIONSLogical variables are combined by means of logical operators to form Boolean expression. For example
o X+Y
o X + YZ’ + Z
o Y’ + Z’
Boolean expressions are evaluated by constructing the truthtable. Consider the expression X + (Y.Z)’ To study this expression, first consider all the combinations of X, Y and Z. total number of combinations for 3 variables is 23 = 8. BASIC POSTULATES OF BOOLEAN ALGEBRA• If X = 0 then X = 1 and if X = 1 then X = 0
• Logical addition (OR relations)
• Logical multiplication (AND relations)
• Complement rules (NOT relations)
Principle of duality
Basic theorems of Boolean algebra( The Tutorial document contains more elaborate explanations on how these theorems can be explained using truth tables or otherwise. )
Properties of 0 and 1
Proof— These properties can be proved by creating a truth table as will be shown in the tutorial. Involution law(X’)’ = X
Complementary law
Commutative law
Associative law
Distributive law
Moving on beyond the outline, here's the complete tutorial with examples, truth tables and problems :Here's a list of all the tutorials we currently have in this area  Introductory Digital Electronic Circuits and Boolean logic
 Tutorials in Basic Digital Electronics: At a glance
