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In 2003, 64-bit CPUs were introduced to the mainstream PC market in the form of x86-64 processors and the PowerPC G5. A 64-bit register can hold any of 2 64 (over 18 quintillion or 1.8×10 19) different values. The range of integer values that can be stored in 64 bits depends on the integer representation used.
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.
64-bit: maximum representable value 2 64 − 1 ... When an unsigned arithmetic operation produces a result larger than the maximum above for an N-bit integer, ...
Sign bit: 1 bit; Exponent: 11 bits; Significand precision: 53 bits (52 explicitly stored) 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 ...
Starting with Ruby version 1.9.2 (released on 18 August 2010), the bug with year 2038 is fixed, [16] by storing time in a signed 64-bit integer on systems with 32-bit time_t. [17] Starting with NetBSD version 6.0 (released in October 2012), the NetBSD operating system uses a 64-bit time_t for both 32-bit and 64-bit
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.
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.
For instance, using a 32-bit format, 16 bits may be used for the integer and 16 for the fraction. The eight's bit is followed by the four's bit, then the two's bit, then the one's bit. The fractional bits continue the pattern set by the integer bits. The next bit is the half's bit, then the quarter's bit, then the ⅛'s bit, and so on. For example: