A binary number is a number expressed in a base 2 counting system.^{[1]} In a base 2 counting system, there are only 2 digits: 0 and 1.
Figure 1: 9_{10} = 1001_{2} |
Figure 1 illustrates that 9 in decimal (base 10) is equal to 1001 in binary (base 2). In decimal, the first four place values to the left of the decimal are:
1 = 10^{0}, |
10 = 10^{1}, |
100 = 10^{2}, and |
1000 = 10^{3}. |
In binary the first four places values are:
1 = 2^{0}, |
2 = 2^{1}, |
4 = 2^{2}, and |
8 = 2^{3}. |
When reading numbers in binary, don't use the terms 'hundred' and 'thousand'. These words are defined only for the decimal numeration. 1001_{2} is said, "One oh oh one base two". When speaking, the word 'oh' is short for zero.
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