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The sign bit determines the sign of the number (including when this number is zero, which is signed). The exponent field is an 11-bit unsigned integer from 0 to 2047, in biased form: an exponent value of 1023 represents the actual zero. Exponents range from −1022 to +1023 because exponents of −1023 (all 0s) and +1024 (all 1s) are reserved ...
The number 2,147,483,647 (or hexadecimal 7FFFFFFF 16) is the maximum positive value for a 32-bit signed binary integer in computing. It is therefore the maximum value for variables declared as integers (e.g., as int ) in many programming languages.
Programmers may also incorrectly assume that a pointer can be converted to an integer without loss of information, which may work on (some) 32-bit computers, but fail on 64-bit computers with 64-bit pointers and 32-bit integers. This issue is resolved by C99 in stdint.h in the form of intptr_t.
FreeBSD uses 64-bit time_t for all 32-bit and 64-bit architectures except 32-bit i386, which uses signed 32-bit time_t instead. [23] The x32 ABI for Linux (which defines an environment for programs with 32-bit addresses but running the processor in 64-bit mode) uses a 64-bit time_t. Since it was a new environment, there was no need for special ...
The maximum signed 32 bit value (2 31 − 1) 16,777,216: 0100 0000 The largest consecutive integer in IEEE 754 single precision (2 24) 65,535: FFFF The maximum unsigned 16 bit value (2 16 − 1) 32,767 7FFF The maximum signed 16 bit value (2 15 − 1) 255: FF The maximum unsigned 8 bit value (2 8 − 1) 127 7F The maximum signed 8 bit value (2 ...
Signed 32- and 64-bit integers will only hold at most 6 or 13 base-36 digits, respectively (that many base-36 digits can overflow the 32- and 64-bit integers). For example, the 64-bit signed integer maximum value of "9223372036854775807" is "1Y2P0IJ32E8E7" in base-36. Similarly, the 32-bit signed integer maximum value of "2147483647" is "ZIK0ZJ ...
The number of non-negative values for a signed 64-bit integer. 2 63 − 1, a common maximum value (equivalently the number of positive values) for a signed 64-bit integer in programming languages. 2 64 = 18 446 744 073 709 551 616 The number of distinct values representable in a single word on a 64-bit processor.
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.