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Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...
Blum-Blum-Shub is a PRNG algorithm that is considered cryptographically secure. Its base is based on prime numbers. Park-Miller generator: 1988 S. K. Park and K. W. Miller [13] A specific implementation of a Lehmer generator, widely used because it is included in C++ as the function minstd_rand0 from C++11 onwards. [14] ACORN generator: 1989 ...
The whole number part is a number of days from the Jan 1 1900 (if the O record contains the ;V0 directive, specifying 1900 as the starting point for calculations), the fraction is the number of seconds divided by 86400 (60*60*24, number of seconds in a day).
For example, squaring the number "1111" yields "1234321", which can be written as "01234321", an 8-digit number being the square of a 4-digit number. This gives "2343" as the "random" number. Repeating this procedure gives "4896" as the next result, and so on. Von Neumann used 10 digit numbers, but the process was the same.
In the asymptotic setting, a family of deterministic polynomial time computable functions : {,} {,} for some polynomial p, is a pseudorandom number generator (PRNG, or PRG in some references), if it stretches the length of its input (() > for any k), and if its output is computationally indistinguishable from true randomness, i.e. for any probabilistic polynomial time algorithm A, which ...
This process is then repeated to generate more numbers. The value of n must be even in order for the method to work – if the value of n is odd, then there will not necessarily be a uniquely defined "middle n-digits" to select from. Consider the following: If a 3-digit number is squared, it can yield a 6-digit number (e.g. 540 2 = 291600). If ...
The function log 2 is the base-2 logarithm. H is typically measured in bits. [2] [3] Any password generator is limited by the state space of the pseudo-random number generator used if it is based on one. Thus a password generated using a 32-bit generator is limited to 32 bits entropy, regardless of the number of characters the password contains.
Blum Blum Shub takes the form + =, where M = pq is the product of two large primes p and q.At each step of the algorithm, some output is derived from x n+1; the output is commonly either the bit parity of x n+1 or one or more of the least significant bits of x n+1.