logical operations

This operation has one input and one output. Table 7 represents truth table for NOT operation..

Let us refer to a circuit consisting of two switches p and q connected in series with a lamp and battery as shown in figure. The lamp will glow, only if switch p and switch q are closed. If we replace the word 'closed' by T and 'open' by F, the switch will glow only if p = T and q = T. In binary..

There are digital circuits which either allow a signal to pass through or stop it. The circuits other wise called as gate allows the signal to pass only when some logical condition are satisfied. Under such condition the circuits are called logic gates. They are building blocks ..

Application to Switching Circuits - The application of Boolean algebra to electronic devices such as computers, lies in the restriction of the variable to two possible condition 'On and Off' or 'True or False' or numerically '1 or 0'. The electric circuits carry out the Boolean logic. In ..

- Boolean Algebra is a Mathematical structure satisfying particular laws. Boolean Algebra provides a basic logic for operations on binary numbers 0, 1. Since computers are based on a binary system, this branch of Mathematics is found to be useful for the internal working of vari..

Introduction - The development of Boolean algebra is a more general theory of set theory and mathematical logic. An English mathematician, named George Boole invented this new kind of algebra which analyses logic mathematically. This Boolean algebra provided a basic logic..

Introduction - We are already familiar with set theory and mathematical logic from earlier classes. It has already been seen that there is a similarity between the laws stated in set theory and the mathematical logic. The operations 'union', 'intersection' and 'complem..

Arithmetic operations such as addition, subtraction and complex operations such as multiplication, division etc., are performed by using digital circuits called adders, which again consists of basic logical gate..

Arithmetic Circuits - Arithmetic operations such as addition, subtraction and complex operations such as multiplication, division etc., are performed by using digital circuits called adders, which again consists of basic logical gates. Repeated addition gives multiplic..

x.y' + x.z + y.z' A Boolean expression can be regarded as a Boolean function since it has a unique value, either 0 or 1. The postulates, theorems or Boolean expressions in Boolean algebra hold good when the operation '+' and '.', the symbols '1' and '0' are interchanged, this is called ..