Binary and Decimal Number System
Decimal Number System:
The number of base or radix 10 is called decimal numbers. It is a first number system in which all the ancient and modern mathematical calculation is done. Other number of systems is derived from it.
Our daily life transaction is done in decimal system. There are many number systems available from which we study only decimal, octal, hexadecimal, and binary systems.
The following chart displays relation amongst several number systems:
Binary Number System
Binary number is a number of base (radix) 2. It is represented by 1 and 0.1 or 0 is called BIT (Binary digit). These numbers represents two logical conditions of human life- (A) TRUE, and (B) FALSE. This logic has no any intermediate conditions like fuzzy logic.
Fuzzy logic is applied in artificial intelligence for expert system, and it is a superset logic dealing with concept of partial truth (probability). It was introduced first time in 1960 by Dr. Lottis Zadeh of UC Berkeley.
Sn. |
Examples |
True |
False |
1. |
Bulb |
When switch ON and it delivers light called TRUE condition. | When switch OFF and it Delivers no light called FALSE condition. |
2. |
Engine |
If it is started, TRUE condition. |
If it is not started FALSE condition. |
3. | Computer system | If it is working properly, TRUE condition. | If it is not working properly, FALSE condition. |
4. |
Human Body |
If respiration occurs, TRUE condition. |
If no respiration, FALSE condition. |
In this way, there are many example of TRUE and FALSE in our daily life. Generally, these conditions are working unit of computer or any logic circuit or systems. The machine languages are written in binary numbers. The disciple of Charles Babbage, daughter of English poet Bayron, Lady Ada Agusta, and first time used binary numbers for Programming.
Leibniz (1646-1716) was great advocates of the binary system, according to him 1 represent God and 0 for void. The binary system is ideal for reliable compact storage. The first person known to have used binary codes for number representation was Francis Bacon in 1623.
Decimal |
Binary |
0 |
0 |
1 |
1 |
2 |
10 |
3 |
11 |
4 |
100 |
5 |
101 |
6 |
110 |
7 |
111 |
8 |
1000 |
9 |
1001 |
Related posts:
- Introduction to Number system This is very interesting question, “What is the number?” The...
- Real Number System. Number is one of the basic concept of mathematics. A...
- Peterson’s algorithm Peterson’s algorithm An established algorithm known as Peterson’s algorithm provides...
- Dekker’s Algorithm Dekker’s Algorithm Dijktra reported on algorithm for mutual exclusion for...
- Overloading Binary Operator Overloading binary operator An operator requiring two operand is called...