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  • IEEE 854-1987

    Current The latest, up-to-date edition.

    IEEE Standard for Radix-Independent Floating-Point Arithmetic

    Available format(s):  PDF

    Language(s):  English

    Published date:  05-10-1987

    Publisher:  Institute of Electrical & Electronics Engineers

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    Table of Contents - (Show below) - (Hide below)

    1. Scope
    1.1 Implementation Objectives
    1.2 Inclusions
    1.3 Exclusions
    2. Definitions
    3. Precisions
    3.1 Sets of Values
    3.2 Basic Precisions
    3.3 Extended Precisions
    3.4 Combinations of Precisions
    4. Rounding
    4.1 Round to Nearest
    4.2 Directed Roundings
    4.3 Rounding Precision
    5. Operations
    5.1 Arithmetic
    5.2 Square Root
    5.3 Floating-Point Precision Conversions
    5.4 Conversion Between Floating Point and Integer
    5.5 Round Floating-Point Number to Integral Value
    5.6 Floating-Point <-> Decimal String Conversion
    5.7 Comparison
    6. Infinity, NaNs, and Signed Zero
    6.1 Infinity Arithmetic
    6.2 Operations with NaNs
    6.3 The Algebraic Sign
    7. Exceptions
    7.1 Invalid Operation
    7.2 Division by Zero
    7.3 Overflow
    7.4 Underflow
    7.5 Inexact
    8. Traps
    8.1 Trap Handler
    8.2 Precedence
    TABLES
    1. Floating Point <-> Decimal String Conversion Ranges
    2. Correctly Rounded Conversion Ranges
    3. Predicates and Relations
    APPENDIX
    Recommended Functions and Predicates

    Abstract - (Show below) - (Hide below)

    It is intended that an implementation of a floating-point system conforming to this standard can be realized entirely in software, entirely in hardware, or in any combination of software and hardware.

    General Product Information - (Show below) - (Hide below)

    Committee Microprocessor Standards Committee
    Document Type Standard
    Publisher Institute of Electrical & Electronics Engineers
    Status Current

    Standards Referenced By This Book - (Show below) - (Hide below)

    IEEE 1076-2008 REDLINE IEEE Standard VHDL Language Reference Manual
    BS ISO/IEC 13813 : 1997
    CSA ISO/IEC/IEEE 9945 : 2010 : R2015 INFORMATION TECHNOLOGY - PORTABLE OPERATING SYSTEM INTERFACE (POSIX[R]) BASE SPECIFICATIONS, ISSUE 7
    CSA ISO/IEC 10967-3 : 2007 : R2012 INFORMATION TECHNOLOGY - LANGUAGE INDEPENDENT ARITHMETIC - PART 3: COMPLEX INTEGER AND FLOATING POINT ARITHMETIC AND COMPLEX ELEMENTARY NUMERICAL FUNCTIONS
    INCITS/ISO/IEC 10967-1 : 1994 INFORMATION TECHNOLOGY - LANGUAGE INDEPENDENT ARITHMETIC - PART 1: INTEGER AND FLOATING POINT ARITHMETIC
    ANSI INCITS TR 17 : 1997 INFORMATION TECHNOLOGY - NUMERICAL C EXTENSIONS
    CAN/CSA-ISO/IEC 10967-3-07 (R2017) Information Technology - Language Independent Arithmetic - Part 3: Complex Integer and Floating Point Arithmetic and Complex Elementary Numerical Functions (Adopted ISO/IEC 10967-3:2006, first edition, 2006-05-01)
    ISO/IEC TS 18661-5:2016 Information Technology Programming languages, their environments, and system software interfaces Floating-point extensions for C Part 5: Supplementary attributes
    CSA ISO/IEC/IEEE 9945 : 2010 : INC : COR 1 : 2015 INFORMATION TECHNOLOGY - PORTABLE OPERATING SYSTEM INTERFACE (POSIX[R]) BASE SPECIFICATIONS, ISSUE 7
    ISO/TR 13519:2012 Guidance on the development and use of ISO statistical publications supported by software
    BS IEC 61691-1-1:2011 Behavioural languages VHDL Language reference manual
    02/653424 DC : DRAFT JULY 2002 BS ISO/IEC 9945-1 - INFORMATION TECHNOLOGY - PORTABLE OPERATING SYSTEM INTERFACE (POSIX) - PART 1: BASE DEFINITIONS
    BS ISO/IEC 10967-3:2006 Information technology. Language independent arithmetric Complex integer and floating point arithmetic and complex elementary numerical functions
    ISO/IEC 9945-4:2003 Information technology Portable Operating System Interface (POSIX) Part 4: Rationale
    04/30106462 DC : DRAFT JUL 2004 ISO/IEC 10967-3 - INFORMATION TECHNOLOGY - LANGUAGE INDEPENDENT ARITHMETIC - PART 3 : COMPLEX FLOATING POINT ARITHMETIC AND COMPLEX ELEMENTARY NUMERICAL FUNCTIONS
    PD ISO/IEC TS 18661-4:2015 Information Technology. Programming languages, their environments, and system software interfaces. Floating-point extensions for C Supplementary functions
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    ISO/IEC 9945-2:2003 Information technology Portable Operating System Interface (POSIX) Part 2: System Interfaces
    IEEE/Open Group 1003.1, 2013 Edition IEEE Standard for Information Technology—Portable Operating System Interface (POSIX(TM)) Base Specifications, Issue 7
    ISO/IEC TS 18661-4:2015 Information Technology Programming languages, their environments, and system software interfaces Floating-point extensions for C Part 4: Supplementary functions
    BS PD ISO/IEC TS 18661-2 : 2015 INFORMATION TECHNOLOGY - PROGRAMMING LANGUAGES, THEIR ENVIRONMENTS, AND SYSTEM SOFTWARE INTERFACES - FLOATING-POINT EXTENSIONS FOR C - PART 2: DECIMAL FLOATING-POINT ARITHMETIC
    BS ISO/IEC 13814:1998 Information technology. Programming languages. Generic package of complex elementary functions for Ada
    IEC 61691-6:2009 Behavioural languages - Part 6: VHDL Analog and Mixed-Signal Extensions
    CSA ISO/IEC 10967-2 : 2002 : R2011 INFORMATION TECHNOLOGY - LANGUAGE INDEPENDENT ARITHMETIC - PART 2: ELEMENTARY NUMERICAL FUNCTIONS
    CSA ISO/IEC 10967-2 :2002 INFORMATION TECHNOLOGY - LANGUAGE INDEPENDENT ARITHMETIC - PART 2: ELEMENTARY NUMERICAL FUNCTIONS
    CSA ISO/IEC 9899 : 2013 : R2017 INFORMATION TECHNOLOGY - PROGRAMMING LANGUAGES - C
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    ISO/IEC TS 18661-1:2014 Information technology Programming languages, their environments, and system software interfaces Floating-point extensions for C Part 1: Binary floating-point arithmetic
    INCITS/ISO/IEC 9899 : 2012 INFORMATION TECHNOLOGY - PROGRAMMING LANGUAGES - C
    ISO/IEC 9899:2011 Information technology Programming languages C
    PD ISO/IEC TS 18661-5:2016 Information Technology. Programming languages, their environments, and system software interfaces. Floating-point extensions for C Supplementary attributes
    CSA ISO/IEC 9945-2 : 2005 INFORMATION TECHNOLOGY - PORTABLE OPERATING SYSTEM INTERFACE (POSIX) - PART 2: SYSTEM INTERFACES
    ISO/IEC 9945-1:2003 Information technology Portable Operating System Interface (POSIX) Part 1: Base Definitions
    PD ISO/IEC TS 18661-3:2015 Information Technology. Programming languages, their environments, and system software interfaces. Floating-point extensions for C Interchange and extended types
    CSA ISO/IEC 9945-4 : 2005 INFORMATION TECHNOLOGY - PORTABLE OPERATING SYSTEM INTERFACE (POSIX) - PART 4: RATIONALE
    CSA ISO/IEC 9899 : 2013 INFORMATION TECHNOLOGY - PROGRAMMING LANGUAGES - C
    PD ISO/IEC TS 18661-1:2014 Information technology. Programming languages, their environments, and system software interfaces. Floating-point extensions for C Binary floating-point arithmetic
    BS ISO/IEC 9945-2:2002 Information technology. Portable operating system interface (POSIX) System Interfaces
    BS ISO/IEC 9945-4:2002 Information technology. Portable operating system interface (POSIX) Rationale
    02/653425 DC : DRAFT JULY 2002 BS ISO/IEC 9945-2 - INFORMATION TECHNOLOGY - PORTABLE OPERATING SYSTEM INTERFACE (POSIX) - PART 2: SYSTEM INTERFACES
    BS ISO/IEC 9945-1:2002 Information technology. Portable operating system interface (POSIX) Base Definitions
    CSA ISO/IEC TR 24732 : 2012 INFORMATION TECHNOLOGY - PROGRAMMING LANGUAGES, THEIR ENVIRONMENTS AND SYSTEM SOFTWARE INTERFACES - EXTENSION FOR THE PROGRAMMING LANGUAGE C TO SUPPORT DECIMAL FLOATING-POINT ARITHMETIC
    ANSI INCITS TR 17 : 1997 INFORMATION TECHNOLOGY - NUMERICAL C EXTENSIONS
    ISO/IEC TS 18661-2:2015 Information Technology Programming languages, their environments, and system software interfaces Floating-point extensions for C Part 2: Decimal floating-point arithmetic
    ISO/IEC 9945-3:2003 Information technology Portable Operating System Interface (POSIX) Part 3: Shell and Utilities
    CAN/CSA-ISO/IEC TS 18661-5:18 Information technology — Programming languages, their environments, and system software interfaces — Floating-point extensions for C — Part 5: Supplementary attributes (Adopted ISO/IEC TS 18661-5:2016, first edition, 2016-08-15)
    IEC 61691-1-1:2011 Behavioural languages - Part 1-1: VHDL Language Reference Manual
    PD ISO/TR 13519:2012 Guidance on the development and use of ISO statistical publications supported by software
    CSA ISO/IEC 10967-2 : 2002 : R2016 INFORMATION TECHNOLOGY - LANGUAGE INDEPENDENT ARITHMETIC - PART 2: ELEMENTARY NUMERICAL FUNCTIONS
    CSA ISO/IEC 9945-1 : 2005 INFORMATION TECHNOLOGY - PORTABLE OPERATING SYSTEM INTERFACE (POSIX) - PART 1: BASE DEFINITIONS
    CSA ISO/IEC 10967-3 : 2007 INFORMATION TECHNOLOGY - LANGUAGE INDEPENDENT ARITHMETIC - PART 3: COMPLEX INTEGER AND FLOATING POINT ARITHMETIC AND COMPLEX ELEMENTARY NUMERICAL FUNCTIONS
    ANSI INCITS TR 17 : 1997 : R2007 INFORMATION TECHNOLOGY - NUMERICAL C EXTENSIONS
    CAN/CSA-ISO/IEC TR 24732:12 (R2016) Information technology - Programming languages, their environments and system software interfaces - Extension for the programming language C to support decimal floating-point arithmetic (Adopted ISO/IEC TR 24732:2009, first edition, 2009-01-15)
    CSA ISO/IEC/IEEE 9945 : 2010 INFORMATION TECHNOLOGY - PORTABLE OPERATING SYSTEM INTERFACE (POSIX[R]) BASE SPECIFICATIONS, ISSUE 7
    ISO/IEC TR 24732:2009 Information technology Programming languages, their environments and system software interfaces Extension for the programming language C to support decimal floating-point arithmetic
    ISO/IEC TS 18661-3:2015 Information Technology — Programming languages, their environments, and system software interfaces — Floating-point extensions for C — Part 3: Interchange and extended types
    ISO/IEC 10967-2:2001 Information technology — Language independent arithmetic — Part 2: Elementary numerical functions
    IEEE 1076.1-2017 IEEE Standard VHDL Analog and Mixed-Signal Extensions
    IEEE/IEC 61691-1-1-2011 IEC/IEEE International Standard - Behavioural languages - Part 1-1: VHDL Language Reference Manual
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