logic & set theory

Introduction - The study of logic through the use of mathematical symbols is called Mathematical Logic. Mathematical logic is also known as Symbolic Logic or Boolean Logic..

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 b..

Logic Gates - 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. T..

Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the same truth table. Truth Table fo..

Logical Equivalence and Duality - Two compound propositions p and q are said to be logically equivalent, if their truth values are same for each different combinations of the truth values of the components involved in them. If p and q are logically equivalent, then it ..

Use of Venn diagrams in Logic - Venn diagrams are used very frequently on problems of set theory. Venn diagrams can also be used for deciding the truthfulness of statemen..

Semiconductor Devices..

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..

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

Venn diagrams are used very frequently on problems of set theory. Venn diagrams can also be used for deciding the truthfulness of statemen..