NUMBER SYSTEMS. 1. CHAPTER 1. NUMBER SYSTEMS. Introduction. In your earlier classes, you have learnt about the number line and how to represent. Characteristics. § A positional number system. § Has 10 symbols or digits (0, 1, 2, 3, 4, 5, 6, 7,. 8, 9). Hence, its base = § The maximum value of a single digit. Notes: ▫ When written down, a number may be ambiguous regarding which system it belongs to. So we will associate a subscript to clear such ambiguities.

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PDF | Computer Numbering System | ResearchGate, the professional network for scientists. to: audio, graphics, video, text file, numbers etc. Number Systems. Instructor: Tsung-Che Chiang [email protected] Department of Computer Science and Information Engineering. National Taiwan Normal. Today's Topics. □ The significance of the bit and powers of 2. □ Data quantities ( B, kB, MB, GB, etc). □ Number systems (decimal, binary, octal, hexadecimal).

The above table indicates that: Pin It on Pinterest. Example 1 Decimal Number is: Embedded C Interview Q. See Also: Similarly, the position of first digit towards right side of decimal point is The place value of each digit according to position and weight is as follows:

These digits can be used to represent any numeric value. The base of decimal number system is It is the most widely used number system. The value represented by individual digit depends on weight and position of the digit.

Each number in this system consists of digits which are located at different positions. The position of first digit towards left side of the decimal point is 0.

The position of second digit towards left side of the decimal point is 1. Similarly, the position of first digit towards right side of decimal point is The position of second digit towards right side of decimal point is -2 and so on. The value of the number is determined by multiplying the digits with the weight of their position and adding the results. This method is known as expansion method.

The rightmost digit of number has the lowest weight. The leftmost digit of a number has the highest weight. The digit 7 in the number is most significant digit and 4 is the least significant digit.

Number Bases. The weights and positions of each digit of the number are as follows: Face value. The above table indicates that: The actual number can be found by adding the values obtained by the digits as follows: The weights and positions of each digit of the number Face Value.

Digital computer represents all kinds of data and information in the binary system.

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 Comments and Discussions. Are you a blogger?

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