Digital Data, Binary Systems, and Data Compression in Computing

Binary

A way of representing information using only two options, typically 0 and 1.

Bit

A contraction of 'Binary Digit'; the single unit of information in a computer, represented as a 0 or 1.

Byte

A group of 8 bits.

Decimal

A way of representing information using ten options, typically the digits 0-9.

Overflow Error

An error that occurs when attempting to represent a number that is too large for the available storage.

Round-off Error

An error that occurs when a number is rounded to fit a certain precision, resulting in a loss of accuracy.

ASCII

American Standard Code for Information Interchange; a character encoding scheme that uses 7 bits to represent each character.

Abstraction

A simplified representation of something more complex.

Analog Data

Data that changes continuously over time, such as sound or light.

Digital Data

Data that changes discretely through a finite set of possible values.

Sampling

The process of creating a digital representation of analog data by measuring it at regular intervals.

Lossy Compression

A method of reducing file size by permanently eliminating some information, making it irreversible.

Lossless Compression

A method of reducing file size without losing any information, allowing the original data to be perfectly reconstructed.

Creative Commons License

A collection of public copyright licenses that allow for the free distribution and use of copyrighted works.

Intellectual Property

A work or invention that is the result of creativity, for which one has rights and may apply for patents, copyrights, or trademarks.

What ASCII character is represented by the binary number 1001100?

L

What is the result of using 6-bit binary sequences instead of 4-bit sequences?

Using 6-bit sequences allows for 4 times as many items to be uniquely identified.

What is a true statement about compression methods?

The choice of compression method involves a trade-off between reducing file size and preserving image quality.

What binary number will be assigned to the next student who enrolls after 1001 0111?

1001 1000

What is the first number that will cause an overflow error in a 6-bit representation?

64

What is the minimum number of bits needed to assign a unique bit sequence to 40 staff members?

6 bits

What is the minimum number of bits needed to represent 150 different characters?

8 bits

What is the most likely cause of imprecision in a 32-bit floating-point number?

Round-off errors due to the fixed number of bits used for representation.

For which string is it NOT possible to use byte pair encoding?

UNCOPYRIGHTABLE

Which statement about data compression is true?

Lossy compression can reduce file size significantly but is not suitable for files where original data must be fully recovered.

What is lossless compression?

A method that reduces file size without losing any information, allowing the original data to be perfectly restored.

What is the most likely reason a program outputs 0.3333333 instead of 0.333333...?

B) The round-off error occurred because the computer's number representation has a limited number of bits for precision.

What is the minimum number of bits required for a store with 40 to 60 items?

B) 6 bits, as 2^6 = 64, which can cover the range of 40 to 60 items.

How should digital video files be saved for archival purposes?

A) Using lossless compression software to reduce size while preserving original quality.

What is the most appropriate application for lossless compression?

B) Archiving a set of scientific data files for long-term storage, where every single bit of the original data must be preserved.

What demonstrates the use of lossless compression when sending a video file?

A) The laptop compresses the audio file before transmitting it to the phone, which restores it to its original version.

What happens when two 0s are appended to a binary number?

B) The transformed number is 4 times the value of the original number.

How does a smartphone convert sound waves into a processable format?

C) The phone measures the amplitude of the sound wave at specific intervals and stores each measurement as a numerical value composed of bits.

What color is represented by the binary RGB triplet (11111111, 11111111, 11110000)?

B) Light yellow.

What is the binary RGB triplet for the color indigo?

C) (01001011, 00000000, 10000010).

What is the most likely cause of a pedometer displaying a negative number?

B) The pedometer experienced an overflow error because the total number of steps exceeded the maximum value the app's data type could store.

What is the purpose of lossless compression in digital photography?

To reduce file size without losing any image quality, allowing for perfect restoration.

What is lossy compression?

A method that reduces file size by permanently eliminating certain information, typically used for audio and video files.

What is an overflow error?

An error that occurs when a calculation exceeds the maximum limit that can be stored in a variable.

What is a round-off error?

An error that occurs when a number is approximated to fit within the limits of a computer's number representation.

What is binary representation?

A way of representing numbers using only two digits: 0 and 1.

What is an RGB triplet?

A set of three values representing the intensity of red, green, and blue colors used to create a specific color in digital applications.

What is the significance of bits in computing?

Bits are the basic unit of information in computing, representing a binary state of either 0 or 1.

What is the purpose of using binary numbers in inventory systems?

To assign unique identifiers to items, allowing for efficient data management and retrieval.

What does it mean to compress a file?

To reduce the size of a file by encoding its data more efficiently.

What is the difference between lossless and lossy compression?

Lossless compression retains all original data, while lossy compression sacrifices some data for reduced file size.

What is a logic error?

An error in a program's logic that leads to incorrect results or behaviors.

What is the role of a sensor in a pedometer?

To measure physical activity, such as steps taken, and convert that data into a digital format.

What is the maximum value for a 6-bit binary number?

63, as 2^6 - 1 = 63.

What is the purpose of archiving data?

To store data securely for long-term preservation and future retrieval.