Calculate the binary representation of the decimal number 25.

• 10011
• 10101
• 11100
• 11001

Compare the advantages and disadvantages of using binary representation in modern computer systems.

• The advantages of using binary representation in modern computer systems include efficient storage and processing of data, faster calculations, and easier implementation of digital circuits. The disadvantages include potential for human error and longer, less intuitive code.
• Binary representation in modern computer systems results in more intuitive code
• Using binary representation makes data storage less efficient in modern computer systems
• Binary representation leads to slower processing speed in modern computer systems

Explain the significance of "ASCII code" in the context of a software development project.

• ASCII code is only relevant for hardware configuration in software development projects.
• ASCII code is used for creating visual effects in software development projects.
• ASCII code is important in software development projects for consistent text representation and manipulation.
• ASCII code is primarily used for debugging purposes in software development projects.

Explain the concept of a "bit" using a scenario involving Abigail and Emma sharing digital information.

• A bit is the smallest unit of data in computing, representing a binary value of either 0 or 1.
• A bit is a byte of data representing a single character
• A bit can store multiple values simultaneously
• A bit is a unit of measurement for digital storage

Explain the process of converting a hexadecimal code to binary in a real-world scenario.

• Add the hexadecimal digits together to get the binary equivalent.
• Divide the hexadecimal code by 2 to get the binary conversion.
• Ignore the hexadecimal code and directly convert to decimal.
• Convert each hexadecimal digit to its 4-bit binary equivalent.

Provide an illustration of how the hexadecimal system is utilized in encoding colors for digital displays.

• Colors for digital displays are encoded using the binary system
• Colors for digital displays are encoded using the hexadecimal system by representing each color channel (red, green, blue) with a value from 00 to FF, resulting in a 6-digit hexadecimal code.
• The hexadecimal system uses values from 0 to 9 only
• Each color channel is represented by a 3-digit hexadecimal code

Explain the process of converting a binary number to its decimal equivalent using a real-world scenario.

• The correct answer is to multiply each digit of the binary number by 2 raised to the power of its position from right to left, starting from 0, and then sum up all the results.
• Subtract the binary number from 10
• Divide each digit of the binary number by 2
• Add all the digits of the binary number together

Show the binary representation of the decimal number 42.

• 101010

• 110101

• 111100

• 100110

Explain why binary representation is predominantly used in computer systems.

• Binary representation is based on the Fibonacci sequence.
• Binary representation allows for easy conversion to Roman numerals.
• Binary representation is simple and efficient, aligning with the on/off nature of electronic circuits.
• Binary representation is colorful and visually appealing to users.

Calculate the number of bits required to represent 16 different colors in a computer system.

• 2 bits

• 4 bits

• 8 bits

• 16 bits