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255 (number)

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255 (two hundred [and] fifty-five, CCLV) is the natural number following 254 and preceding 256.

CardinalTwo hundred [and] fifty-five
Ordinal255th
Factorization[255 = 3 \cdot 5 \cdot 17]
Roman numeralCCLV
Binary11111111
HexadecimalFF

In mathematics

Its factorization makes it a sphenic number. Since 255 = 28 - 1, it is a Mersenne number, and the fourth such number not to be a prime number.

In base 10, it is a self number.

255 is a repdigit in base 2 (11111111) in base 4 (3333), and in base 16 (FF)

In computing

255 is a special number in some tasks having to do with computing. This is the maximum value representable by an eight-digit binary number, and therefore the maximum representable by an unsigned 8-bit byte (the most common size of byte, also called octet), the smallest common variable size used in high level programming languages (bit being smaller, but rarely used for value storage). The range is 0 to 255, which is 256 total values.

[255 = 2^8 - 1 = \mbox_ = 11111111_2.]
For example, 255 is the maximum value This number occurs especially frequently in video games when a small number is needed: The usage of 8 bits for storage in older videogames has had the consequence of it appearing as a hard limit in many videogames. It was often used for numbers where casual gameplay would not cause anyone to exceed the number. However in most situations it is reachable given enough time. This can cause many other peculiarities similar to the above listed to appear when the number wraps back to 0.

This number could be interpreted by a computer as -1 if a programmer is not careful about which 8-bit values are signed and unsigned, and the two's complement representation of -1 in a signed byte is equal to that of 255 in an unsigned byte. The maximum value of a signed byte is 127.

 


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