Number system of Compuetr

 When we type some letters or words, the computer translates them in numbers as computers can understand only numbers. A computer can understand the 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.

The value of each digit in a number can be determined using −

• The digit

• The position of the digit in the numberAs a computer programmer or an IT professional, you should understand the following number systems which are frequently used in computers.

  S.No.	Number System and Description
  1	Binary Number System Base 2. Digits used : 0, 1
  2	Octal Number System Base 8. Digits used : 0 to 7
  3	Hexa Decimal Number System Base 16. Digits used: 0 to 9, Letters used : A- F Binary Number System Characteristics of the binary number system are as follows − Uses two digits, 0 and 1 Also called as base 2 number systemBinary Number: 101012 Calculating Decimal Equivalent − Step Binary Number Decimal Number Step 1 101012 ((1 x 24) + (0 x 23) + (1 x 22) + (0 x 21) + (1 x 20))10 Step 2 101012 (16 + 0 + 4 + 0 + 1)10 Step 3 101012 2110 Note − 101012 is normally written as 10101. Octal Number System Characteristics of the octal number system are as follows − Uses eight digits, 0,1,2,3,4,5,6,7 Also called as base 8 number system Hexadecimal Number System Characteristics of hexadecimal number system are as follows − Uses 10 digits and 6 letters, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F Letters represent the numbers starting from 10. A = 10. B = 11, C = 12, D = 13, E = 14, F = 15 Also called as base 16 number system Example Hexadecimal Number: 19FDE16 Calculating Decimal Equivalent − Step Binary Number Decimal Number Step 1 19FDE16 ((1 x 164) + (9 x 163) + (F x 162) + (D x 161) + (E x 160))10 Step 2 19FDE16 ((1 x 164) + (9 x 163) + (15 x 162) + (13 x 161) + (14 x 160))10 Step 3 19FDE16 (65536+ 36864 + 3840 + 208 + 14)10 Step 4 19FDE16 10646210