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The most significant digit (10) is "dropped": 10 1 0 11 <- Digits of 0xA10B ----- 10 Then we multiply the bottom number from the source base (16), the product is placed under the next digit of the source value, and then add: 10 1 0 11 160 ----- 10 161 Repeat until the final addition is performed: 10 1 0 11 160 2576 41216 ----- 10 161 2576 41227 ...
This is the minimum number of characters needed to encode a 32 bit number into 5 printable characters in a process similar to MIME-64 encoding, since 85 5 is only slightly bigger than 2 32. Such method is 6.7% more efficient than MIME-64 which encodes a 24 bit number into 4 printable characters.
Similarly, each successive place to the right of the separator has a place value equal to the place value of the previous digit divided by the base. For example, in the numeral 10.34 (written in base 10), the 0 is immediately to the left of the separator, so it is in the ones or units place, and is called the units digit or ones digit; [6] [7 ...
10 0: 1: One: 10 −1: 100×10 −3: One Tenth: deci-d: 10 −2: 10×10 −3: One One-Hundredth: centi-c: 10 −3: 1×10 −3: One One-Thousandth: milli-m: 10 −6: 1×10 −6: One One-Millionth: micro-μ: 10 −9: 1×10 −9: One One-Billionth: One One-Milliardth: nano-n: 10 −12: 1×10 −12: One One-Trillionth: One One-Billionth: pico-p: 10 ...
For higher powers of ten, naming diverges. The Indian system uses names for every second power of ten: lakh (10 5), crore (10 7), arab (10 9), kharab (10 11), etc. In the two Western systems, long and short scales, there are names for every third power of ten. The short scale uses million (10 6), billion (10 9), trillion (10 12), etc.
If the digits in the given number include zeroes (for example, 7,080.9), these are left out in the digit decomposition (7,080.9 = 7,000 + 80 + 0.9). Then, the digit conversion tables can be used to obtain the equivalent value in the target base for each digit. If the given number is in duodecimal and the target base is decimal, we get:
Place value of number in decimal system. The decimal numeral system (also called the base-ten positional numeral system and denary / ˈ d iː n ər i / [1] or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers (decimal fractions) of the Hindu–Arabic numeral system.
The check digit calculation is as follows: each position is assigned a value; for the digits 0 to 9 this is the value of the digits, for the letters A to Z this is 10 to 35, for the filler < this is 0. The value of each position is then multiplied by its weight; the weight of the first position is 7, of the second it is 3, and of the third it ...
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