Understanding the laws of Boolean Logic

There have been various laws in the arithmetic number system. The study of these laws aids in the solving of various mathematical problems. The Boolean algebra laws are the laws concerning the logic 0 and 1. Only zero and one are used in the Boolean algebra. Sometimes true or false is also used to represent the same logic. Ultimately they represent nothing but on and off of supply of flow of current in an electric circuit.

The operations used in this algebra are similar to the laws in the algebra. There are certain basic differences and the notations might change. But the process is similar and simple. The Boolean laws can be conjunction, disjunction and negation. Conjunction is nothing but the process of multiplication that is present in the real numbers algebra. Dis junction is the process similar to addition that is done in the real number algebra. Negation is nothing but taking the negative of the given value. If the given value is x, then it is replaced by ‘-x’ in the process of negation.

This algebra was developed by Boole in the year 1840 and that is why it is known as Boolean algebra. It is used in digital electronics. It is very helpful in the analysis of various gates and circuits. It has certain laws and these have to be learnt to understand and solve the problems. The Boolean laws are to be learnt for this and they are quite simple to learn. There can be different variables used in this algebra but these variables can have only two values zero and one. A large expression can be formed with the help of the variables.

These are to be solved with the help of laws of Boolean algebra and understood. The variables like A, B, X, Y can be used to represent the variables in this algebra and then the expressions formed and the logical operations carried out. Any variable added to ‘1’ gives one. This is one of the laws. Any variable added to zero gives the same variable. Any variable multiplied with ‘1’ gives the same variable. The same variable if multiplied with ‘0’ gives ‘0’. In electronics it represents an open circuit. Two similar variables on addition give the same variable. Multiplication of two similar variables gives the same variable. Commutative property of addition also holds good. These are some of the laws. The variables can take values 0 and 1 only.