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If only numbers with unique non-zero digits are considered, a three-digit number in base ten can have a digit-sum ranging from 6 = 1+2+3 to 24 = 7+8+9. If these potential digit-sums are used in the formula 2 x digit-sum x 11, the digit-sum of the result will determine whether or not the result is an Osiris number. 1. 2 x 6 x 11 = 132. 2. Digit ...
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Subtracting 5 times the last digit from 2 times the rest of the number gives a multiple of 26. (Works because 52 is divisible by 26.) 1,248 : (124 ×2) - (8×5) = 208 = 26 × 8 27: Sum the digits in blocks of three from right to left. (Works because 999 is divisible by 27.) 2,644,272: 2 + 644 + 272 = 918. Subtract 8 times the last digit from ...
Obviously, at most half of the digits are non-zero, which was the reason it was introduced by G.W. Reitweisner [2] for speeding up early multiplication algorithms, much like Booth encoding. Because every non-zero digit has to be adjacent to two 0s, the NAF representation can be implemented such that it only takes a maximum of m + 1 bits for a ...
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Memory feats centered around numbers can be performed by experts who have learned a 'vocabulary' of at least one image for each 1 and 2-digit number, as these can then be combined to form narratives. Learning a vocabulary of 3-digit numbers is harder, because ten times more images need to be learned for each extra digit.
A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be terminating, and is not considered as repeating.
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