IEEE-754 Format Characteristics Quiz
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Questions and Answers

What is the total length, in bits, of the quad-precision format in IEEE-754 standards?

  • 128
  • 64
  • 44
  • 80 (correct)

In IEEE-754r standard, what is one of the key enhancements mentioned?

  • Decreasing the precision of single-precision format
  • Adding a 16-bit format
  • Introducing a 128-bit format (correct)
  • Removing the quad-precision format

How many decimal digits of precision are provided by the double-extended format in IEEE-754 standards?

  • 19 (correct)
  • 6
  • 15
  • 9

What is the biased exponent for the floating-point number derived from (23)10 in single-precision IEEE format?

<p>10000011 (C)</p> Signup and view all the answers

Which bit is always implied but not included in the normalized mantissa according to the text?

<p>'1' (A)</p> Signup and view all the answers

What is one of the motivations behind the ongoing revision of the IEEE-754 standard mentioned in the text?

<p>Extending the standard where necessary (A)</p> Signup and view all the answers

What is the IEEE-854 standard primarily known for?

<p>Providing guidelines for implementing floating point in any radix value (A)</p> Signup and view all the answers

Which floating-point formats are specified in the IEEE-854 standard?

<p>Single, single-extended, double, and double-extended precision formats (D)</p> Signup and view all the answers

In the IEEE-754 single-precision format, what is indicated by a '0' bit in a specific position?

<p>Positive sign of the mantissa (B)</p> Signup and view all the answers

What is the biased exponent for the floating-point number 11000000 00101001 01100 in IEEE-754 double-precision format?

<p>10000000 (A)</p> Signup and view all the answers

Which standard introduced quad-precision floating-point formats?

<p>IEEE-768 (C)</p> Signup and view all the answers

What is a key feature of the IEEE-754r standard?

<p>Focus on decimal floating-point representation (C)</p> Signup and view all the answers

What is the main reason for the extension of the standard to include decimal floating-point representation?

<p>Binary floating-point cannot represent decimal fractions exactly. (C)</p> Signup and view all the answers

Which of the following is a characteristic of the new 128-bit 'quad-precision' format described in the text?

<p>It is an addition to existing binary formats. (A)</p> Signup and view all the answers

What do the three new decimal formats introduced in the text match in terms of lengths?

<p>They match the lengths of binary formats. (A)</p> Signup and view all the answers

In order to achieve maximum range and precision in decimal floating-point representation, what does the text suggest merging?

<p>Part of the exponent and part of the mantissa into a combination field. (C)</p> Signup and view all the answers

What was the main objective of the IEEE-854 standard mentioned in the text?

<p>To establish a standard without radix and word length dependencies. (D)</p> Signup and view all the answers

Why was it necessary to revise and rewrite many definitions during the revision process mentioned in the text?

<p>For clarification and consistency. (D)</p> Signup and view all the answers

Flashcards

IEEE-754 standard

The standard that defines the representation and operations of floating-point numbers on computers.

Quad-precision format

A format that uses 80 bits to represent floating-point numbers.

IEEE-754r standard

A revision of the IEEE-754 standard introducing a new 128-bit format.

Double-precision format

A format that uses 64 bits to represent floating-point numbers.

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Single-precision format

A format that uses 32 bits to represent floating-point numbers.

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Double-extended format

A format that uses 80 bits to represent floating-point numbers.

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Hidden bit

The position in the floating-point representation of a number where the '1' bit is always assumed to be present.

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Biased exponent

The exponent value of a floating-point number after adding a bias.

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Floating-point representation

The process of representing a number as a sign, exponent, and mantissa, where the exponent indicates the power of the base and the mantissa represents the digits.

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IEEE-854 standard

A standard that defines the representation and operations of floating-point numbers in any radix.

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Quad-precision format (IEEE-768)

A format that uses 128 bits to represent floating-point numbers.

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Mantissa

The part of a floating-point number that represents the digits of the number.

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Decimal floating-point representation

A way of representing numbers using decimal digits rather than binary digits.

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Combining exponent and mantissa

The process of combining a part of the exponent and a part of the mantissa into a single field for better accuracy and range.

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IEEE-854 standard

A standard that aims to establish a unified floating-point representation without radix and word length dependence.

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Revision process

The process of rewriting or modifying existing definitions to ensure clarity and consistency.

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