Floating point types

Decimal128 floating-point format

In computing, decimal128 is a decimal floating-point computer numbering format that occupies 16 bytes (128 bits) in computer memory. It is intended for applications where it is necessary to emulate decimal rounding exactly, such as financial and tax computations. Decimal128 supports 34 decimal digits of significand and an exponent range of −6143 to +6144, i.e. ±0.000000000000000000000000000000000×10−6143 to ±9.999999999999999999999999999999999×106144. (Equivalently, ±0000000000000000000000000000000000×10−6176 to ±9999999999999999999999999999999999×106111.) Therefore, decimal128 has the greatest range of values compared with other IEEE basic floating-point formats. Because the significand is not normalized, most values with less than 34 significant digits have multiple possible representations; 1 × 102=0.1 × 103=0.01 × 104, etc. Zero has 12288 possible representations (24576 if both signed zeros are included). Decimal128 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 Decimals | Learn About

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From playlist Binary

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From playlist Arithmetic

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From playlist Binary

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From playlist Scientific Computing

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From playlist Introduction to Decimals

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

From playlist Introduction to Decimals

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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 Scientific Computing

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From playlist Introduction to Decimals

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From playlist Arduino Lessons

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From playlist Introduction to Decimals

Related pages

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