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Binary-coded decimal and Floating-point arithmetic

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Binary-coded decimal and Floating-point arithmetic

Binary-coded decimal vs. Floating-point arithmetic

In computing and electronic systems, binary-coded decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of bits, usually four or eight. In computing, floating-point arithmetic is arithmetic using formulaic representation of real numbers as an approximation so as to support a trade-off between range and precision.

Similarities between Binary-coded decimal and Floating-point arithmetic

Binary-coded decimal and Floating-point arithmetic have 26 things in common (in Unionpedia): Addison-Wesley, Arithmetic underflow, Association for Computing Machinery, Binary number, Bit, Computing, Endianness, Fixed-point arithmetic, Fraction (mathematics), Hewlett-Packard, Hexadecimal, IBM System/360, IEEE 754 revision, Infinity, Institute of Electrical and Electronics Engineers, Integer overflow, John Wiley & Sons, Motorola 68000, Radix point, Round-off error, Rounding, Significand, Springer Science+Business Media, Two's complement, Word (computer architecture), X86.

Addison-Wesley

Addison-Wesley is a publisher of textbooks and computer literature.

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Arithmetic underflow

The term arithmetic underflow (or "floating point underflow", or just "underflow") is a condition in a computer program where the result of a calculation is a number of smaller absolute value than the computer can actually represent in memory on its CPU.

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Association for Computing Machinery

The Association for Computing Machinery (ACM) is an international learned society for computing.

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Binary number

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

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Bit

The bit (a portmanteau of binary digit) is a basic unit of information used in computing and digital communications.

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Computing

Computing is any goal-oriented activity requiring, benefiting from, or creating computers.

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Endianness

Endianness refers to the sequential order in which bytes are arranged into larger numerical values when stored in memory or when transmitted over digital links.

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Fixed-point arithmetic

In computing, a fixed-point number representation is a real data type for a number that has a fixed number of digits after (and sometimes also before) the radix point (after the decimal point '.' in English decimal notation).

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Fraction (mathematics)

A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.

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Hewlett-Packard

The Hewlett-Packard Company (commonly referred to as HP) or shortened to Hewlett-Packard was an American multinational information technology company headquartered in Palo Alto, California.

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Hexadecimal

In mathematics and computing, hexadecimal (also base, or hex) is a positional numeral system with a radix, or base, of 16.

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IBM System/360

The IBM System/360 (S/360) is a family of mainframe computer systems that was announced by IBM on April 7, 1964, and delivered between 1965 and 1978.

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IEEE 754 revision

IEEE 754-2008 (previously known as IEEE 754r) was published in August 2008 and is a significant revision to, and replaces, the IEEE 754-1985 floating point standard.

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Infinity

Infinity (symbol) is a concept describing something without any bound or larger than any natural number.

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Institute of Electrical and Electronics Engineers

The Institute of Electrical and Electronics Engineers (IEEE) is a professional association with its corporate office in New York City and its operations center in Piscataway, New Jersey.

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Integer overflow

In computer programming, an integer overflow occurs when an arithmetic operation attempts to create a numeric value that is outside of the range that can be represented with a given number of bits – either larger than the maximum or lower than the minimum representable value.

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John Wiley & Sons

John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.

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Motorola 68000

The Motorola 68000 ("'sixty-eight-thousand'"; also called the m68k or Motorola 68k, "sixty-eight-kay") is a 16/32-bit CISC microprocessor, which implements a 32-bit instruction set, with 32-bit registers and 32-bit internal data bus, but with a 16-bit data ALU and two 16-bit arithmetic ALUs and a 16-bit external data bus, designed and marketed by Motorola Semiconductor Products Sector.

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Radix point

In mathematics and computing, a radix point (or radix character) is the symbol used in numerical representations to separate the integer part of a number (to the left of the radix point) from its fractional part (to the right of the radix point).

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Round-off error

A round-off error, also called rounding error, is the difference between the calculated approximation of a number and its exact mathematical value due to rounding.

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Rounding

Rounding a numerical value means replacing it by another value that is approximately equal but has a shorter, simpler, or more explicit representation; for example, replacing $ with $, or the fraction 312/937 with 1/3, or the expression with.

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Significand

The significand (also mantissa or coefficient) is part of a number in scientific notation or a floating-point number, consisting of its significant digits.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Two's complement

Two's complement is a mathematical operation on binary numbers, best known for its role in computing as a method of signed number representation.

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Word (computer architecture)

In computing, a word is the natural unit of data used by a particular processor design.

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X86

x86 is a family of backward-compatible instruction set architectures based on the Intel 8086 CPU and its Intel 8088 variant.

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The list above answers the following questions

Binary-coded decimal and Floating-point arithmetic Comparison

Binary-coded decimal has 115 relations, while Floating-point arithmetic has 183. As they have in common 26, the Jaccard index is 8.72% = 26 / (115 + 183).

References

This article shows the relationship between Binary-coded decimal and Floating-point arithmetic. To access each article from which the information was extracted, please visit:

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