Computer - Number System

When we type some letters or words, the computer translates them in numbers as computers can understand only numbers. A computer can understand positional number system where there are only a few symbols called digits and these symbols represent different values depending on the position they occupy in the number.A value of each digit in a number can be determined using

             The digit

  • The position of the digit in the number

  • The base of the number system (where base is defined as the total number of digits available in the number system).

Decimal Number System

The number system that we use in our day-to-day life is the decimal number system. Decimal number system has base 10 as it uses 10 digits from 0 to 9. In decimal number system, the successive positions to the left of the decimal point represent units, tens, hundreds, thousands and so on.

Each position represents a specific power of the base (10). For example, the decimal number 1234 consists of the digit 4 in the units position, 3 in the tens position, 2 in the hundreds position, and 1 in the thousands position, and its value can be written as

Binary Number System

Characteristics of binary number system are as follows:

  • Uses two digits, 0 and 1.

  • Also called base 2 number system

  • Each position in a binary number represents a 0 power of the base (2). Example 20

  • Last position in a binary number represents a x power of the base (2). Example 2x where x represents the last position - 1.

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