What is Computer Numbering Systems ?
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:
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 prefix “deci-” stands for 10
– The decimal number system is a Base 10
number system:
– There are 10 symbols that represent quantities:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
– Each place value in a decimal number is a
power of 10.
– The decimal number system is a Base 10
number system:
– There are 10 symbols that represent quantities:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
– Each place value in a decimal number is a
power of 10.
Binary Numbers
– The prefix “bi-” stands for 2
– The binary number system is a Base 2
number system:
– There are 2 symbols that represent quantities:
0, 1
– Each place value in a binary number is a power
of 2.
– The prefix “bi-” stands for 2
– The binary number system is a Base 2
number system:
– There are 2 symbols that represent quantities:
0, 1
– Each place value in a binary number is a power
of 2.
Hexadecimal Numbers
–The prefix “hexa-” stands for 6 and the
prefix “deci-’ stands for 10
– The hexadecimal number system is a Base
16 number system:
– There are 16 symbols that represent quantities:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
– Each place value in a hexadecimal number is a
power of 16.
–The prefix “hexa-” stands for 6 and the
prefix “deci-’ stands for 10
– The hexadecimal number system is a Base
16 number system:
– There are 16 symbols that represent quantities:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
– Each place value in a hexadecimal number is a
power of 16.
Octal Number System
– Uses eight digits: 0, 1, 2, 3, 4, 5, 6, 7.
– Each position in a octal number represents a 0 power of the base (8). Example, 80.
– Uses eight digits: 0, 1, 2, 3, 4, 5, 6, 7.
– Each position in a octal number represents a 0 power of the base (8). Example, 80.