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That is, the value of an octal "10" is the same as a decimal "8", an octal "20" is a decimal "16", and so on. In a hexadecimal system, there are 16 digits, 0 through 9 followed, by convention, with A through F. That is, a hexadecimal "10" is the same as a decimal "16" and a hexadecimal "20" is the same as a decimal "32".
Decimal fractions (sometimes called decimal numbers, especially in contexts involving explicit fractions) are the rational numbers that may be expressed as a fraction whose denominator is a power of ten. [8] For example, the decimal expressions ,,,, represent the fractions 8 / 10 , 1489 / 100 , 79 / 100000 , + 1618 / ...
If the right hand is used to represent a unit (0 to 5), and the left to represent the multiples of 6, then it becomes possible for one person to represent the values from zero to 55 senary (35 decimal) with their fingers, rather than the usual ten obtained in standard finger counting. e.g. if three fingers are extended on the left hand and four ...
[7] [8] [a] 666 is also the sum of the squares of the first seven primes (2 2 + 3 2 + 5 2 + 7 2 + 11 2 + 13 2 + 17 2), [7] [10] while the number of twin primes less than 6 6 + 666 is 666. [11] A prime reciprocal magic square based on in decimal has a magic constant of 666.
Example: Convert 764 8 to decimal: 764 8 = 7 × 8 2 + 6 × 8 1 + 4 × 8 0 = 448 + 48 + 4 = 500 10. For double-digit octal numbers this method amounts to multiplying the lead digit by 8 and adding the second digit to get the total. Example: 65 8 = 6 × 8 + 5 = 53 10
The positional decimal system is presently universally used in human writing. The base 1000 is also used (albeit not universally), by grouping the digits and considering a sequence of three decimal digits as a single digit. This is the meaning of the common notation 1,000,234,567 used for very large numbers.
In the early days of computing, it was used for differing numbers of bits based on convention and computer hardware design, but today means 8 bits. A more accurate, but less commonly used name for 8 bits is octet. Commonly, a decimal SI metric prefix (such as kilo-) is used with bit and byte to express larger sizes (kilobit, kilobyte). But ...
0000 0011 0101 0111 0 3 5 7 + 1001 0101 0110 1000 9 5 6 8 = 1001 1000 1011 1111 9 8 11 15 Since BCD is a form of decimal representation, several of the digit sums above are invalid. In the event that an invalid entry (any BCD digit greater than 1001) exists, 6 is added to generate a carry bit and cause the sum to become a valid entry.