1.2 | Network Math | |||
1.2.4 | Base 2 number system |
Computers recognize and process data using the
binary, or Base 2, numbering system.
The binary system uses only
two symbols, 0 and 1, instead of the ten symbols used in the decimal
numbering system. The position, or place, of each digit from right to
left in a binary number represents 2, the base number, raised to a
power or exponent, starting from 0. These place values are, from right
to left, 20, 21, 22, 23, 24,
25, 26, and 27, or 1, 2, 4, 8, 16,
32, 64, and 128 respectively. Example: 101102 = (1 x 24 = 16) + (0 x 23 = 0) + (1 x 22 = 4) + (1 x 21 = 2) + (0 x 20 = 0) = 22 (16 + 0 + 4 + 2 + 0) If the binary number (101102) is read left to right, there is a 1 in the 16s position, a 0 in the 8s position, a 1 in the 4s position, a 1 in the 2s position, and a 0 in the 1s position, which adds up to decimal number 22.
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