Floating-Point Intel® FPGA IP User Guide

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ID 683750
Date 8/30/2024
Public
Document Table of Contents
Document Table of Contents x
1. About Floating-Point Intel® FPGA IP 2. Floating Point Custom Accumulator Intel® FPGA IP 3. Floating Point Functions IP 4. Floating-Point IP Cores User Guide Document Archives 5. Document Revision History for the Floating-Point Intel® FPGA IPUser Guide
1. About Floating-Point Intel® FPGA IP x
1.1. Installing and Licensing Intel® FPGA IP Cores 1.2. Design Flow 1.3. Upgrading IP Cores 1.4. Floating-Point IP Cores General Features 1.5. IEEE-754 Standard for Floating-Point Arithmetic 1.6. Non-IEEE-754 Standard Format 1.7. Floating-Points IP Cores Output Latency 1.8. VHDL Component Declaration 1.9. VHDL LIBRARY-USE Declaration
1.2. Design Flow x
1.2.1. IP Catalog and Parameter Editor 1.2.2. Specifying the IP Parameters and Options ( Quartus® Prime Pro Edition)
1.2.1. IP Catalog and Parameter Editor x
1.2.1.1. The Parameter Editor
1.2.2. Specifying the IP Parameters and Options ( Quartus® Prime Pro Edition) x
1.2.2.1. IP Core Generation Output ( Quartus® Prime Pro Edition)
1.3. Upgrading IP Cores x
1.3.1. Migrating IP Cores to a Different Device
1.5. IEEE-754 Standard for Floating-Point Arithmetic x
1.5.1. Floating-Point Formats 1.5.2. Special Case Numbers 1.5.3. Rounding
1.5.1. Floating-Point Formats x
1.5.1.1. Single-Precision Format 1.5.1.2. Double-Precision Format 1.5.1.3. Single-Extended Precision Format
2. Floating Point Custom Accumulator Intel® FPGA IP x
2.1. Floating Point Custom Accumulator Intel® FPGA IP Features 2.2. Floating Point Custom Accumulator Intel® FPGA IP Output Latency 2.3. Floating Point Custom Accumulator Intel® FPGA IP Signals 2.4. Floating Point Custom Accumulator Intel® FPGA IP Parameters
3. Floating Point Functions IP x
3.1. Floating Point Functions IP Features 3.2. Floating Point Functions IP Output Latency 3.3. Floating Point Functions IP Target Frequency 3.4. Floating Point Functions IP Combined Target 3.5. Floating Point Functions IP Reset and Latency 3.6. Floating Point Functions IP Signals 3.7. Floating-Point Functions IP Parameters
1. About Floating-Point Intel® FPGA IP
2. Floating Point Custom Accumulator Intel® FPGA IP
3. Floating Point Functions IP
4. Floating-Point IP Cores User Guide Document Archives
5. Document Revision History for the Floating-Point Intel® FPGA IPUser Guide

1.5.1. Floating-Point Formats

All floating-point formats have binary patterns. In the following figure, S represents a sign bit, E represents an exponent field, and M is the mantissa field.

For a normal floating-point number, a leading 1 is always implied, for example, binary 1.0011 or decimal 1.1875 is stored as 0011 in the mantissa field. This format saves the mantissa field from using an extra bit to represent the leading 1. However, the leading bit for a denormal numberis 0. For zero, infinity, and NaN, the mantissa field does not have an implied leading 1 nor any explicit leading bit.

Figure 9. IEEE-754 Floating-Point FormatThis figure shows a floating-point format.

Section Content
Single-Precision Format
Double-Precision Format
Single-Extended Precision Format

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