Data types | Floating point types | Computer arithmetic

Decimal64 floating-point format

In computing, decimal64 is a decimal floating-point computer numbering format that occupies 8 bytes (64 bits) in computer memory.It is intended for applications where it is necessary to emulate decimal rounding exactly, such as financial and tax computations. Decimal64 supports 16 decimal digits of significand and an exponent range of −383 to +384, i.e. ±0.000000000000000×10−383 to ±9.999999999999999×10384. (Equivalently, ±0000000000000000×10−398 to ±9999999999999999×10369.) In contrast, the corresponding binary format, which is the most commonly used type, has an approximate range of ±0.000000000000001×10−308 to ±1.797693134862315×10308. Because the significand is not normalized, most values with less than 16 significant digits have multiple possible representations; 1 × 102=0.1 × 103=0.01 × 104, etc. Zero has 768 possible representations (1536 if both signed zeros are included). Decimal64 floating point is a relatively new decimal floating-point format, formally introduced in the 2008 version of IEEE 754 as well as with ISO/IEC/IEEE 60559:2011. (Wikipedia).

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From playlist Binary

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From playlist Decimals | Learn About

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This is the fifth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video elaborates on the representation of real numbers using floating point binary notation. It explains how the relative allo

From playlist Binary

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Decimal Notation: Writing Decimals in Words

This video explains how to write numbers in decimal notation in words. http://mathispower4u.com

From playlist Introduction to Decimals

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This computer science video describes the IEEE 754 standard for floating point binary. The layouts of single precision, double precision and quadruple precision floating point binary numbers are described, including the sign bit, the biased exponent and the mantissa. Examples of how to con

From playlist Binary

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From playlist Introduction to Decimals

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From playlist Scientific Computing

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From playlist Decimals

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From playlist Math Basics

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From playlist Gynvael's Vlog

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From playlist Advanced Java Programming Tutorials [2022 Updated]

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From playlist Python 3.4 Programming Tutorials

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From playlist Excalibur

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From playlist Arduino Lessons

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From playlist Binary

Related pages

IEEE 754 | NaN | Signed zero | Significand | Binary integer decimal | IEEE 754-2008 | Densely packed decimal | ISO/IEC 10967 | Primitive data type | Infinity