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Base-16 numeric representation
1863 Hexspeak – Novelty form of variant English spelling IBM hexadecimal floating-point – Number representation P notation – Concise notation for large
Hexadecimal
Index of articles associated with the same name
Hexadecimal floating point may refer to: IBM hexadecimal floating point in the IBM System 360 and 370 series of computers and others since 1964 Hexadecimal
Hexadecimal_floating_point
Number representation
Hexadecimal floating-point (HFP) is a format for encoding floating-point numbers first introduced on the IBM System/360 computers, and supported on subsequent
IBM hexadecimal floating-point
IBM_hexadecimal_floating-point
IEEE standard for floating-point arithmetic
a floating-point standard arose from chaos in the business and scientific computing industry in the 1960s and 1970s. IBM used a hexadecimal floating-point
IEEE_754
Computer approximation for real numbers
(hexadecimal floating point), base eight (octal floating point), base four (quaternary floating point), base three (balanced ternary floating point) and
Floating-point_arithmetic
64-bit computer number format
Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory;
Double-precision floating-point format
Double-precision_floating-point_format
Floating-point number format used in computer processors
These examples are given in bit representation, in hexadecimal and binary, of the floating-point value. This includes the sign, (biased) exponent, and
Bfloat16 floating-point format
Bfloat16_floating-point_format
256-bit computer number format
1078913. These examples are given in bit representation, in hexadecimal, of the floating-point value. This includes the sign, (biased) exponent, and significand
Octuple-precision floating-point format
Octuple-precision_floating-point_format
32-bit computer number format
numeric values by using a floating radix point. A floating-point variable can represent a wider range of numbers than a fixed-point variable of the same bit
Single-precision floating-point format
Single-precision_floating-point_format
floating-point registers depends on the installed features: ESA/370 ESA/390 without the new floating-point facilities Only the hexadecimal floating-point
IBM Enterprise Systems Architecture
IBM_Enterprise_Systems_Architecture
128-bit computer number format
104932. These examples are given in bit representation, in hexadecimal, of the floating-point value. This includes the sign, (biased) exponent, and significand
Quadruple-precision floating-point format
Quadruple-precision_floating-point_format
Part of a computer system
greatly increase gate count Execution unit IEEE 754 floating-point standard IBM hexadecimal floating point Graphics processing unit Multiply–accumulate operation
Floating-point_unit
Method in computer arithmetic
Block floating point (BFP) is a method used to provide an arithmetic approaching floating point while using a fixed-point processor. BFP assigns a group
Block_floating_point
Discontinued mainframe computer system
Input/Output channels. This feature adds support for 128-bit "hexadecimal" floating-point operands. It is standard on all 165 and 168 models, and is an
IBM_System/370_Model_168
32-bit computer number format
In computing, decimal32 is a decimal floating-point computer numbering format that occupies 4 bytes (32 bits) in computer memory. Like the binary16 and
Decimal32 floating-point format
Decimal32_floating-point_format
Numbering format in Nvidia hardware
TensorFloat-32 (TF32) is a numeric floating point format designed for Tensor Core running on certain Nvidia GPUs. It was first implemented in the Ampere
TensorFloat-32
IBM computer family (1964–1977)
which used 8-bit byte addressing with fixed-point binary, fixed-point decimal and hexadecimal floating-point calculations. The System/360 family introduced
IBM_System/360
Floating-point data type in C family languages
In C and related programming languages, long double refers to a floating-point data type that is often more precise than double precision though the language
Long_double
Decimal representation of real numbers in computing
Decimal floating-point (DFP) arithmetic refers to both a representation and operations on decimal floating-point numbers. Working directly with decimal
Decimal_floating_point
Concise notation for large or small numbers
for binary, octal, and hexadecimal floating-point numbers in scientific notation in addition to the usual decimal floating-point numbers.) Martin, Bruce
Scientific_notation
16-bit computer number format
Half precision (sometimes called FP16 or float16) is a binary floating-point computer number format that occupies 16 bits (two bytes in modern computers)
Half-precision floating-point format
Half-precision_floating-point_format
Value for unrepresentable data
Not a Number, is a particular value of a numeric data type (often a floating-point number) which is undefined as a number, such as the result of 0 0 {\displaystyle
NaN
64-bit computer number format
In computing, decimal64 is a decimal floating-point computer number format that occupies 8 bytes (64 bits) in computer memory. The format was formally
Decimal64 floating-point format
Decimal64_floating-point_format
Floating-point number formats
supported in the current design, where they are now called the "hexadecimal floating-point" (HFP) formats. The Microsoft BASIC port for the 6502 CPU, such
Extended_precision
Denormalized floating-point numbers near zero
(sometimes called denormals) that fill the underflow gap around zero in floating-point arithmetic. Any non-zero number with magnitude smaller than the smallest
Subnormal_number
Floating-point values coded as few bits
In computing, minifloats are floating-point values represented with very few bits. This reduced precision makes them ill-suited for general-purpose numerical
Minifloat
Data type approximating a real number
fixed-point or floating-point data type, but with a denominator that is a power of 10 instead of a power of 2. Binary number Decimal number Hexadecimal number
Real_data_type
Topics referred to by the same term
format by Zilog Hex dump Hexadecimal notation Alphanumeric executable Executable ASCII code IBM hexadecimal floating-point P notation This disambiguation
Hex_file
128-bit computer number format
computing, decimal128 is a decimal floating-point number format defined by the IEEE 754 Standard for Floating-Point Arithmetic. It is one of the standard's
Decimal128 floating-point format
Decimal128_floating-point_format
The IEEE 754-2008 standard includes decimal floating-point number formats in which the significand and the exponent (and the payloads of NaNs) can be encoded
Binary_integer_decimal
Floating-point number format by Microsoft
double-precision format (64 bits): Floating-point arithmetic IEEE 754 — Standard for floating-point arithmetic IBM hexadecimal floating-point "IEEE vs. Microsoft Binary
Microsoft_Binary_Format
Model independent architecture for the S/360 line of mainframe computers
decimal integers and hexadecimal floating point numbers. Character and integer instructions are mandatory, but decimal and floating point instructions are
IBM_System/360_architecture
floating-point numbers are encoded with a variety of representations for the sign, exponent and mantissa. In contemporary machines IBM hexadecimal floating-point
Comparison of instruction set architectures
Comparison_of_instruction_set_architectures
ITU-T recommendation
maps back to 0000000110101 (+53 in decimal). This can be seen as a floating-point number with 4 bits of mantissa m (equivalent to a 5-bit precision),
G.711
Number type in floating-point arithmetic
number in a floating-point representation which is within the balanced range supported by a given floating-point format: it is a floating point number that
Normal_number_(computing)
Form of text that defines C code
Either a decimal point or an exponent is required (otherwise, the number is parsed as an integer constant). Hexadecimal floating-point constants follow
C_syntax
Topics referred to by the same term
Healthy Families Program Heptafluoropropane Heritage Film Project Hexadecimal floating point Hexafluoropropylene Humanitarian Futures Programme Bavarian School
HFP
IEEE standard for radix-independent floating-point arithmetic
Radix-Independent Floating-Point Arithmetic (IEEE 854), was the first Institute of Electrical and Electronics Engineers (IEEE) international standard for floating-point
IEEE_854-1987
Internal representation of numeric values in a digital computer
allow for sixteen values, a nibble is sometimes known as a hexadecimal digit. Octal and hexadecimal encoding are convenient ways to represent binary numbers
Computer_number_format
Family of computers 1970–1990
of 10, rounding the result when dividing; optional 128-bit (hexadecimal) floating-point arithmetic, introduced in the System/360 Model 85 a new higher-resolution
IBM_System/370
Root-finding algorithm
inverse) of the square root of a 32-bit floating-point number x {\displaystyle x} in IEEE 754 floating-point format. The algorithm is best known for its
Fast_inverse_square_root
1978 microcomputer trainer kit by RCA
microprocessor, 256 bytes of RAM, DMA-based bitmap graphics, hexadecimal keypad, two-digit hexadecimal LED display, a single "Q" LED, and 5 expansion slots.
ELF_II
2017 edition of the C++ programming language standard
can only store "Basic Latin" and C0 control codes, i.e. ASCII) Hexadecimal floating-point literals Use of auto as the type for a non-type template parameter
C++17
Base-4 numeral system
and binary for a discussion of these properties. As with the octal and hexadecimal numeral systems, quaternary has a special relation to the binary numeral
Quaternary_numeral_system
Data types supported by the C programming language
IEEE 754 binary floating-point formats are used for float and double respectively. The C99 standard includes new real floating-point types float_t and
C_data_types
Notation for representing a fixed value in source code
Function literal Here document – a file literal or stream literal Hexadecimal floating-point literal Integer literal String literal Donovan, John (1972). Systems
Literal (computer programming)
Literal_(computer_programming)
IBM's 64-bit instruction set architecture implemented by its mainframe computers
formats and are in one of three sizes. z/Architecture supports Hexadecimal floating point, a format inherited from System/360 E Single precision, in half
Z/Architecture
GnuWin32 project). Version 2.02, released on 11 July 2013, added hexadecimal floating-point output and two other options to simplify changing the output format
GNU_Units
Number of digits of a numeral system
include: The octal and hexadecimal systems are often used in computing because of their ease as shorthand for binary. Every hexadecimal digit corresponds to
Radix
Number expressed in the base-2 numeral system
familiar with hexadecimal, is to do so indirectly—first converting ( x {\displaystyle x} in binary) into ( x {\displaystyle x} in hexadecimal) and then converting
Binary_number
Support programs included in or available for IBM OS/360 and successors
data, zoned or packed-decimal, signed or unsigned fixed-point binary, or hexadecimal floating-point. Keys can be located anywhere in the record and do not
Support programs for OS/360 and successors
Support_programs_for_OS/360_and_successors
Order of bytes in a computer word
storage for all types of data (integer, floating point), there are a number of hardware architectures where floating-point numbers are represented in big-endian
Endianness
C programming language standard, current revision
IEEE 754 standard for floating-point arithmetic, with extended binary floating-point arithmetic and (optional) decimal floating-point arithmetic. The constexpr
C23_(C_standard_revision)
Computer floating-point unit
The Motorola 68881 and Motorola 68882 are floating-point units (FPUs) used in some computer systems in conjunction with Motorola's 32-bit 68020 or 68030
Motorola_68881
Early computer at US Army lab
A fixed-point addition took 5 microseconds, a floating-point addition took 5 to 10 microseconds, a multiplication (fixed- or floating-point) took 25
BRLESC
Free cross-platform hex editor
demangler ASCII table Calculator Base converter File utilities IEEE 754 floating point decoder Division by invariant multiplication calculator TCP/IP client
ImHex
C programming language standard, 1999 revision
make better use of available computer hardware, such as IEEE 754-1985 floating-point arithmetic, and compiler technology. The C11 version of the C programming
C99
Technique circumventing programming language data typing
whether a floating-point number is negative. We could write: bool is_negative(float x) { return x < 0.0f; } However, supposing that floating-point comparisons
Type_punning
Base-8 numeral representation
binary to hexadecimal, grouping digits by fours, which correspond each to a hexadecimal digit. For instance, convert octal 1057 to hexadecimal: To binary:
Octal
Control parameter used in programming languages
the most commonly used placeholders follow: %a : Scan a floating-point number in its hexadecimal notation. %d : Scan an integer as a signed decimal number
Scanf
Bug in the Intel P5 Pentium floating-point unit
the floating-point unit (FPU) of the early Intel Pentium processors. Because of the bug, the processor would return incorrect binary floating point results
Pentium_FDIV_bug
Extremely basic data type
supported by computer hardware, such as integers of various sizes, floating-point numbers, and Boolean logical values. Operations on such types are usually
Primitive_data_type
Computer instruction set introduced by AMD in 2009
instructions are integer instructions, but it also contains floating point permutation and floating point fraction extraction instructions. See the index for
XOP_instruction_set
Number format for specifying provision
representable values range from −214 = −16384.0 to +214 − 2−1 = +16383.5. In hexadecimal, the negative values range from 0x8000 to 0xFFFF followed by the non-negative
Q_(number_format)
Numerical symbol
usually point out. In binary (base-2), a full space can be used between groups of four digits, corresponding to a nibble, or equivalently to a hexadecimal digit
Decimal_separator
Rules defining correctly structured Java programs
left off to finish. Primitive types in Java include integer types, floating-point numbers, UTF-16 code units and a Boolean type. Unlike C++ and C#, there
Java_syntax
Mainframe computer introduced in 1958
divided in several ways: 8 alphanumeric characters of 6 bits each 12 hexadecimal or decimal characters of 4 bits each 16 octal characters of 3 bits each
Honeywell_800
Notation for representing an integer in source code
integer literal indicating the value 16, which is represented by 10 in hexadecimal (indicated by the 0x prefix). By contrast, in x = cos(0), the expression
Integer_literal
Programmable calculator produce by Hewlett-Packard
integers in hexadecimal, decimal, octal and binary, and convert numbers from one number base to another. It also deals with floating-point decimal numbers
HP-16C
Data serialization format
-9876543210 Floating-point numbers: -0.0 6.28318 6.022e23 The character # is often used to prefix extensions to the syntax, e.g. #x10 for hexadecimal integers
S-expression
Calculator designed to calculate problems in science, engineering, and mathematics
capabilities of a modern scientific calculator include: Scientific notation Floating-point decimal arithmetic Logarithmic functions, using both base 10 and base
Scientific_calculator
C function to format and output text
integer field of width 5; F10.2 indicates a floating-point field of width 10 with 2 digits after the decimal point. An output with input arguments 100, 200
Printf
Early commercial computer
by Ferranti. It was the successor to the Ferranti Mark 1, adding a floating-point unit for improved performance, and increased reliability by replacing
Ferranti_Mercury
Computer architecture bit width
instructions able to load and store 64-bit (and 32-bit) floating-point values in memory, the internal floating-point data and register format is 80 bits wide, while
64-bit_computing
C programming language standard draft planned for release in 2029
0X hexadecimal prefixes. Add {} delimited escape sequences for C strings: \o{} for octal (arbitrary number of octal digits), \x{} for hexadecimal (arbitrary
C29_(C_standard_revision)
RGB color model with an opacity channel
bits: ARGB values are typically expressed using 8 hexadecimal digits, with each pair of the hexadecimal digits representing the values of the Alpha, Red
RGBA_color_model
interpreted as a base-16 (hexadecimal) short floating-point arithmetic number Long real – 8 bytes, interpreted as a base-16 long floating-point number Registers
PL360
Instruction set architecture developed by Digital Equipment Corporation
architecture: single-precision floating point in the Floating Instruction Set (FIS) and the instruction set for the floating-point processor option (FPP) for
PDP-11_architecture
Calculator application included in Microsoft Windows
regression. Until Windows 95, it used an IEEE 754-1985 double-precision floating-point, and the highest representable number by the calculator was 21024, which
Windows_Calculator
Natural number
money, if they are represented by signed 32-bit integers (rather than floating-point, double-precision or arbitrary-precision). Going over this limit by
2,147,483,647
Topics referred to by the same term
of the Latin alphabet. F may also refer to: F or f, the number 15 in hexadecimal and higher positional systems pFq, the hypergeometric function F-distribution
F_(disambiguation)
Natural number
11 (4494411) 65,504 = largest representable value in half-precision floating-point format 65,535 = largest value for an unsigned 16-bit integer on a computer
60,000
of the CPUID x86 processor instruction. In hexadecimal numbering, 0F(h) (where the h represents hexadecimal numbering) equals the decimal number 15, and
List of AMD CPU microarchitectures
List_of_AMD_CPU_microarchitectures
1999 book by Charles Petzold
The book also covers more recent developments, including topics like floating point math, operating systems, and ASCII. The book focuses on "pre-networked
Code: The Hidden Language of Computer Hardware and Software
Code:_The_Hidden_Language_of_Computer_Hardware_and_Software
Type of computer introduced in 1956
speed of about 10 characters per second for numbers (and lower-case hexadecimal characters u-z) and about three characters per second for alphabetic
Bendix_G-15
Algorithms for calculating square roots
multiply–add instruction and either a pipelined floating-point unit or two independent floating-point units. The first way of writing Goldschmidt's algorithm
Square_root_algorithms
non-zero value that can be represented by an octuple-precision IEEE floating-point value. Computing: 2−262142 ≈ 2.482427951464349788299328222913871723
Orders_of_magnitude_(numbers)
BASIC interpreter of the Apple I and original Apple II computers
early home computer owners. The only numeric data type was the integer; floating-point numbers were not supported. Using integers allowed numbers to be stored
Integer_BASIC
Early Swiss-built computer
decimal (not binary or hexadecimal) and had instructions for all four basic arithmetic operations with floating-point and fixed-point numbers, but not for
ERMETH
Serial communications protocol
x15 + x2 + 1 (normal hexadecimal algebraic polynomial being 8005 and reversed A001). Example of a Modbus RTU frame in hexadecimal: 01 04 02 FF FF B8 80
Modbus
Unit of measure for digital data
shown as 0 and 1. The nibble, 4 bits, represents the value of a single hexadecimal digit. The byte (8 bits, 2 nibbles) is possibly the most commonly known
Units_of_information
Family of backward-compatible assembly languages
32-bit floating-point, 64-bit floating-point or 80-bit floating-point (upon loading, the value is converted to the currently used floating-point mode)
X86_assembly_language
Software emulating a scientific calculator
functions of HP-16C: RPN (Reverse Polish notation) input support Floating point, Decimal, Hexadecimal, Octal and Binary modes Word sizes from 1–64 bits per word
WRPN_Calculator
Computer programming language
//decimal local b = 0x0012 //hexadecimal local c = 075 //octal A float represents a 32 bit (or better) floating point number.: local a=1.0 local b=0
Squirrel (programming language)
Squirrel_(programming_language)
Measure of angles
using other representations (such as number of degrees or radians in floating-point). For n = 16, the unit of measure equal to 1⁄65,536 of a circle is sometimes
Binary_angular_measurement
Microprocessor produced by Western Digital
Floating point values are 48 bits long and can only be stored in memory. This format is half-way between single and double precision floating point formats
WD16
Natural number
4-digit number with different digits. Floating-point units in computers often run a IEEE 754 64-bit, floating-point excess-1023 format in 11-bit binary
1023_(number)
Set of rules defining correctly structured programs for the C# programming language
(_121) or the end of the value (121_ or 121.05_), next to the decimal in floating point values (10_.0), next to the exponent character (1.1e_1), or next to
C_Sharp_syntax
Dialect of the BASIC programming language
using indirection operators instead of PEEK and POKE. Both also lacked floating-point support, although this could be added with an optional ROM which introduced
Acorn_System_BASIC
Color model based on red, green and blue
six values (in hexadecimal): #00, #33, #66, #99, #CC or #FF (based on the 0 to 255 range for each value discussed above). These hexadecimal values = 0, 51
RGB_color_model
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HEXADECIMAL FLOATING-POINT
HEXADECIMAL FLOATING-POINT
HEXADECIMAL FLOATING-POINT
HEXADECIMAL FLOATING-POINT
HEXADECIMAL FLOATING-POINT
HEXADECIMAL FLOATING-POINT
HEXADECIMAL FLOATING-POINT
HEXADECIMAL FLOATING-POINT
HEXADECIMAL FLOATING-POINT
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