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IEEE Standard for Floating-Point
Arithmetic
Developed by the
Microprocessor Standards Committee
IEEE
3 Park Avenue
New York, NY 10016-5997
USA
IEEE Computer Society
IEEE Std 754™-2019
Authorized licensed use limited to: INSTITUTE OF AUTOMATION CAS. Downloaded on July 29,2019 at 08:54:24 UTC from IEEE Xplore. Restrictions apply.
Developed by the
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Authorized licensed use limited to: INSTITUTE OF AUTOMATION CAS. Downloaded on July 29,2019 at 08:54:24 UTC from IEEE Xplore. Restrictions apply.
IEEE Std 754-2019
IEEE Standard for Floating-Point Arithmetic
Abstract: This standard specifies interchange and arithmetic formats and methods for binary and
decimal floating-point arithmetic in computer programming environments. This standard specifies
exception conditions and their default handling. An implementation of a floating-point system
conforming to this standard may be realized entirely in software, entirely in hardware, or in any
combination of software and hardware. For operations specified in the normative part of this
standard, numerical results and exceptions are uniquely determined by the values of the input
data, sequence of operations, and destination formats, all under user control.
Keywords: arithmetic, binary, computer, decimal, exponent, floating-point, format, IEEE 754™,
interchange, NaN, number, rounding, significand, subnormal.
The Institute of Electrical and Electronics Engineers, Inc.
3 Park Avenue, New York, NY 10016-5997, USA
Copyright © 2019 by the Institute of Electrical and Electronics Engineers, Inc.
All rights reserved. Published 22 July 2019. Printed in the United States of America.
IEEE is a registered trademark in the U.S. Patent & Trademark Office, owned by the Institute of Electrical and Electronics
Engineers, Incorporated.
PDF: ISBN 978-1-5044-5924-2 STD23738
Print: ISBN 978-1-5044-5925-9 STDPD23738
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of the publisher.
2
Copyright © 2019 IEEE. All rights reserved.
Authorized licensed use limited to: INSTITUTE OF AUTOMATION CAS. Downloaded on July 29,2019 at 08:54:24 UTC from IEEE Xplore. Restrictions apply.
IEEE Std 754-2019
IEEE Standard for Floating-Point Arithmetic
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Copyright © 2019 IEEE. All rights reserved.
Authorized licensed use limited to: INSTITUTE OF AUTOMATION CAS. Downloaded on July 29,2019 at 08:54:24 UTC from IEEE Xplore. Restrictions apply.
IEEE Std 754-2019
IEEE Standard for Floating-Point Arithmetic
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Copyright © 2019 IEEE. All rights reserved.
Authorized licensed use limited to: INSTITUTE OF AUTOMATION CAS. Downloaded on July 29,2019 at 08:54:24 UTC from IEEE Xplore. Restrictions apply.
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