Digital Representation Concepts

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Questions and Answers

How does signed-magnitude representation encode positive and negative numbers?

  • It uses two bits to represent the sign and the magnitude.
  • It uses one bit to represent the sign, and the remaining bits represent the magnitude. (correct)
  • It converts the number to its absolute value and adds a sign bit.
  • It uses all bits to represent the magnitude, with a separate indicator for the sign.

What is the primary purpose of 'reclocking' in digital data processing?

  • To refresh timing signals, ensuring accuracy and synchronization. (correct)
  • To reduce the size of data packets.
  • To increase the data transfer rate.
  • To convert analog signals to digital signals.

Why is Pulse-Code Modulation (PCM) used?

  • To filter noise from analog signals.
  • To digitally represent analog signals. (correct)
  • To amplify weak analog signals.
  • To convert digital signals back to analog signals.

In computing, what is the 'radix point' analogous to in mathematics?

<p>The decimal point separating the integer and fractional parts of a number. (D)</p> Signup and view all the answers

What is the primary function of 'run-length encoding'?

<p>To replace long sequences of repeating characters with a single character and count, thus achieving compression. (B)</p> Signup and view all the answers

How does 'scientific notation' represent numbers?

<p>By using powers of 10. (D)</p> Signup and view all the answers

Besides numeric values, what is a 'string' primarily used for in computer science?

<p>Text manipulation. (D)</p> Signup and view all the answers

Under what condition would an 'overflow' error most likely occur in a computing environment?

<p>When a calculation exceeds the maximum value representable with a given number of bits. (C)</p> Signup and view all the answers

What is the main characteristic of a 'real' data type in programming?

<p>It represents numbers that can have fractional parts (floating-point numbers). (B)</p> Signup and view all the answers

If a variable is defined as 'numeric', what type of values can it hold?

<p>Any value that is a number. (C)</p> Signup and view all the answers

Flashcards

Numeric

Any value that represents a number.

Overflow

Condition where calculation result is larger than the maximum representable value with a given number of bits.

Pulse-code modulation (PCM)

Digitally represents analog signals.

Radix point

Decimal point in a number system; separates integer and fractional parts.

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Real

A data type representing numbers with fractional parts.

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Reclocking

Refreshing timing signals in digital data.

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Run-length encoding

Simple compression replaces repeated characters with a single character.

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Scientific notation

Represents large/small numbers using powers of 10.

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Signed-magnitude representation

Encoding of positive/negative numbers, one bit for sign, rest for magnitude.

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String

Sequence of characters treated as single data element.

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Study Notes

  • Numeric values are any value that is a number.
  • Overflow is a condition in which a calculation goes above the maximum value that can be represented within a certain number of bits.
  • Pulse-code modulation (PCM) is a technique used for digitally representing analog signals.
  • The radix point is the decimal point in a number system that shows the separation between integer and fractional parts.
  • Real numbers are a data type representing numbers that can have fractional parts, often called floating-point numbers.
  • Reclocking is the process of refreshing the timing signals in digital data to ensure accuracy and synchronization.
  • Run-length encoding is a compression method that replaces sequences of repeated characters with a single character and a count.
  • Scientific notation represents very large or very small numbers by using powers of 10.
  • Signed-magnitude representation is a way of encoding positive and negative numbers where one bit represents the sign, and the remaining bits are the magnitude.
  • A string is a sequence of characters treated as a single data element and used for text manipulation.

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