Digital Number System A. Digital and Analog Systems In the modern world of electronics, the term digital is generally associated with a computer because the term digital is derived from the way computers perform operation, by counting digits.

For many years, the application of digital electronics was only in the computer system. But now-a-days, digital electronics is used in many other applications. The following, amongst others, are some of the examples in which digital electronics is heavily used. It is a function of one or more than one independent variables.

Signals are of two types. Analog signal can have infinite number of different values. In real world scenario, most of the things observed in nature are analog. Examples of the analog signals are following.

Binary Number System consists of two digits 0 and 1. Its base is 2. Each digit or bit in binary number system can be 0 or 1. A combination of binary numbers may be used to represent different quantities like The positional value of each digit in binary number is twice the place value or face value of the digit of its right side.

The weight of each position is a power of 2. The place value of the digits according to position and weight is as follows:. Octal Number System consists of eight digits from 0 to 7.

The base of octal system is 8. Each digit position in this system represents a power of 8. Any digit in this system is always less than 8. Octal number system is used as a shorthand representation of long binary numbers. The number is not valid in this number system as 8 is not a valid digit. The place value of each digit according to position and weight is as follows.

The alphabets A to F represent decimal numbers from 10 to The base of this number system is The binary number system is also known as the base-2 number system, because each position in the number represents an incremental number with a base of 2.

The second position one from furthest right is represented as 21, and so forth. To determine what the actual number is in each position, take the number that appears in the position, and multiply it by 2x, where x is the power representation. Each position can only contain a 0 or a 1.

Note that in the binary number system, the only two numbers that can appear in each position is either 0 or 1. More Information These links contain more information about the number systems used in computers, such as details on converting from one number system to another, and the history of the number systems:.

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Start Free Trial Cancel anytime. Number Systems in Computers. Uploaded by Jennifer. Document Information click to expand document information Description: This is an introductory document on the number systems binary, hexadecimal, decimal used frequently in computers.

The number system that we use in our day-to-day life is the decimal number system. Decimal number system has. In decimal number system, the successive positions to the left of the. Each position represents a specific power of the base For example, the decimal number consists of. As a computer prog rammer or an IT professional, you should understand the following number systems which.

Last position in a binary number represents a x power of the base 2. Example 2 x where x represents the. Last position in a octal number represents a x power of the base 8. Example 8 x where x represents the. Letters represents numbers starting from Recover your password. Get help.