Why generate random numbers




















Random number generators are typically software, pseudo random number generators. Their outputs are not truly random numbers. Instead they rely on algorithms to mimic the selection of a value to approximate true randomness.

Pseudo random number generators work with the user setting the distribution, or scope from which the random number is selected e. In Matlab, the rand function returns a floating point number between 0 and 1 e. For conciseness, these notes use a rand function that computes a random number between 0 and less than 1.

If the function you are using does not produce a number between 0 and 1, you should be able to convert your number generator to this format by dividing by a large integer. Given a random number between 0 and 1, it is relatively easy to generate random numbers or values of any type. For example:. To get an integer from a floating point value we can use functions such as round or ceil or floor. The round function returns the nearest integer, ceil the next higher integer, and floor, the next lower integer.

Thus ceil of 1. The Floor of 1. The ceil of 1. It is unlikely that you will ever have to write your own random number generator. That being said, there is some value in knowing some possible ways that numbers are generated.

For a sequence true random numbers, there is no relation between subsequent values besides the fact that they come from the same source of entropy. In this way, TRNGs are nearly impossible to predict, and therefore much safer defences against cyber attacks. PRNGs are deterministic; because each number in the sequence relies on previous ones, they are much easier to decrypt. Pseudo-random numbers are also periodic; they eventually end up repeating themselves.

This can be problematic in some cases, but practically-speaking, it is usually easy enough to find a combination of inputs where the period is sufficiently long. Haahr, True Random Number Service. Lynch, Random Numbers Plucked from the Atmosphere. Interested in engineering and biotechnology, looking to share my findings with others. Coding tutorials and news. The developer homepage gitconnected.

Sign in. How Computers Generate Random Numbers. Erin Herzstein Follow. References [1] C. ORG [3] A. Level Up Coding Coding tutorials and news. Level Up Coding Follow. Written by Erin Herzstein Follow. Computers generate random number for everything from cryptography to video games and gambling. Computers can generate truly random numbers by observing some outside data, like mouse movements or fan noise, which is not predictable, and creating data from it.

This is known as entropy. Random numbers have been used for many thousands of years. Random number generators are useful for many different purposes. Aside from obvious applications like generating random numbers for the purposes of gambling or creating unpredictable results in a computer game, randomness is important for cryptography.

You may be wondering how a computer can actually generate a random number. For example, the computer could measure the radioactive decay of an atom. For a more day-to-day example, the computer could rely on atmospheric noise or simply use the exact time you press keys on your keyboard as a source of unpredictable data, or entropy.

For example, your computer might notice that you pressed a key at exactly 0. A computer could use a seed value and an algorithm to generate numbers that appear to be random, but that are in fact predictable. If an attacker knows enough, they could work backwards and determine the pseudorandom number the encryption algorithm must have chosen in that case, breaking the encryption. To make things easier for developers and help generate secure random numbers, Intel chips include a hardware-based random number generator known as RdRand.

This chip uses an entropy source on the processor and provides random numbers to software when the software requests them. If RdRand contained an NSA backdoor, the government would be able to break encryption keys that were generated with only data supplied by that random number generator.

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