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65535 occurs frequently in the field of computing because it is (one less than 2 to the 16th power), which is the highest number that can be represented by an unsigned 16-bit binary number. [1] Some computer programming environments may have predefined constant values representing 65535, with names like MAX_UNSIGNED_SHORT .
In computing, half precision (sometimes called FP16 or float16) is a binary floating-point computer number format that occupies 16 bits (two bytes in modern computers) in computer memory. It is intended for storage of floating-point values in applications where higher precision is not essential, in particular image processing and neural networks .
The range of integer values that can be stored in 16 bits depends on the integer representation used. With the two most common representations, the range is 0 through 65,535 (2 16 − 1) for representation as an binary number, and −32,768 (−1 × 2 15) through 32,767 (2 15 − 1) for representation as two's complement.
Bfloat16 is designed to maintain the number range from the 32-bit IEEE 754 single-precision floating-point format (binary32), while reducing the precision from 24 bits to 8 bits. This means that the precision is between two and three decimal digits, and bfloat16 can represent finite values up to about 3.4 × 10 38 .
A 16-bit microprocessor chip can directly access 65536 memory addresses, and the 16-bit highcolor graphics standard supports a color palette of 65536 different colors. The maximum number of methods allowed in a single dex file Android application is 65536. [6] The limit for the amount of code in bytes for a non-native, non-abstract method in Java.
It is required to be at least 16 bits, and is often smaller than a standard integer, but this is not required. [9] [10] A conforming program can assume that it can safely store values between −(2 15 −1) [11] and 2 15 −1, [12] but it may not assume that the range is not larger. In Java, a short is always a 16-bit integer.
(With 16-bit unsigned saturation, adding any positive amount to 65535 would yield 65535.) Some processors can generate an exception if an arithmetic result exceeds the available precision. Where necessary, the exception can be caught and recovered from—for instance, the operation could be restarted in software using arbitrary-precision ...
Integer overflow can be demonstrated through an odometer overflowing, a mechanical version of the phenomenon. All digits are set to the maximum 9 and the next increment of the white digit causes a cascade of carry-over additions setting all digits to 0, but there is no higher digit (1,000,000s digit) to change to a 1, so the counter resets to zero.