A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. It can be seen as the context that allows the symbols “11” to be interpreted as the binary symbol for three, the decimal symbol for eleven, or a symbol for other numbers in different bases.
The number the numeral represents is called its value.
Ideally, a numeral system will:
- Represent a useful set of numbers (e.g. all integers, or rational numbers)
- Give every number represented a unique representation (or at least a standard representation)
- Reflect the algebraic and arithmetic structure of the numbers.
For example, the usual decimal representation of whole numbers gives every nonzero whole number a unique representation as a finite sequence of digits, beginning with a non-zero digit. However, when decimal representation is used for the rational or real numbers, such numbers in general have an infinite number of representations, for example 2.31 can also be written as 2.310, 2.3100000, 2.309999999…, etc., all of which have the same meaning except for some scientific and other contexts where greater precision is implied by a larger number of figures shown.
The following video will help you understand a basic number system . Although I have NOT covered a detailed conversion between the binary, HEX and the decimals, but I will do it when we go along the Project IR CONTROLLED REMOTE CONTROLLED SWITCHBOARD WITH FAN SPEED AND FIXED LOAD with EEPROM memory. Please go through he video and try to understand what I have explained.
Would you have any queries, do comment below. I shall be glad to asnwer:
Do drop in comments and questions. Practice questions will be here soon. Next topic will be :
- Interaction of Number systems, conversions and applications in ICs
- Analog Electronics (as much required for the IR controlled Switchboard with FAN speed, 2 X 16 LCD and RC5 Protocol
- Digital Electronics
- Introduction to Microcontrollers – MSP430G2xx series (Please study the user guide by clicking here before I start. It will Help you)
- Introduction to several peripherals inside it, Architechure, JTAG, Communication and Basic Configurations
- Introduction to Peripherals in details (DCO, XT1, INTERNAL FLASH ROM , RAM, MEMORY AREAS, SPIBIWIRE, SYNC. COMM. LIKE SPI, I2C and ASYNC COMM USART/UART known as USCI_B, GPIO, Captouch, TIMER_A and TIMER_B, USI, ADC10, ADC12, Comparator_A+, DMA controller)
- More required topics will be covered as and on.
Any queries ?