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Questions and Answers
Which of the following statements accurately describes the relationship between different number systems and their use in computing?
Which of the following statements accurately describes the relationship between different number systems and their use in computing?
- Octal number systems are primarily used for complex mathematical calculations within the CPU.
- Computers natively process decimal numbers, which are then converted to binary for output.
- Hexadecimal numbers are directly processed by the computer's hardware without any conversion.
- Data entered into a computer is converted into binary, processed in binary, and then converted back to decimal for output. (correct)
When converting a decimal number to binary, what is the correct sequence of steps?
When converting a decimal number to binary, what is the correct sequence of steps?
- Multiply the decimal number by 2, record the quotient, and repeat until the product is zero, writing the quotients in reverse order.
- Multiply the decimal number by 2, record the remainder, and repeat until the product is zero, writing the remainders in forward order.
- Divide the decimal number by 2, write down the quotient, and repeat until the remainder is zero, writing the quotients in forward order.
- Divide the decimal number by 2, write down the remainder, and repeat until the quotient is zero, writing the remainders in reverse order. (correct)
An octal number system is being used to represent permissions in a Unix-like operating system, with each digit representing a different set of permissions (read, write, execute) for user, group, and others. What is the highest numerical value that a single digit in this octal representation can have, and what does it signify in terms of permissions?
An octal number system is being used to represent permissions in a Unix-like operating system, with each digit representing a different set of permissions (read, write, execute) for user, group, and others. What is the highest numerical value that a single digit in this octal representation can have, and what does it signify in terms of permissions?
- 9, indicating that special administrative rights are in effect.
- 7, representing all permissions (read, write, and execute) granted. (correct)
- 8, representing a system error; this value is not valid in octal.
- 6, representing read and write permissions only.
A computer system needs to store the value '255'. Considering memory efficiency, which number system base would allow for the most compact representation of this value?
A computer system needs to store the value '255'. Considering memory efficiency, which number system base would allow for the most compact representation of this value?
Imagine a system where data corruption occurs, changing a single bit in a stored number. Which number system would be most affected by this single bit change if the original number represented student IDs?
Imagine a system where data corruption occurs, changing a single bit in a stored number. Which number system would be most affected by this single bit change if the original number represented student IDs?
Flashcards
What is a number system?
What is a number system?
A set of values used to represent quantities.
Types of number systems?
Types of number systems?
Decimal (base 10), Binary (base 2), Octal (base 8), Hexadecimal (base 16).
Decimal to binary conversion
Decimal to binary conversion
Repeatedly divide the decimal number by 2 and record the remainders. Write remainders in reverse order.
Octal number system
Octal number system
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Binary's importance in computers?
Binary's importance in computers?
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Study Notes
- The number system is a set of values used to represent different quantities
- Types of number systems include decimal, binary, octal, and hexadecimal
Converting Decimal to Binary
- Divide the given the decimal number by base 2.
- Write down the remainder, and divide the quotient again by 2.
- Repeat step 2 until the quotient is zero.
- Remainders obtained in each step are written in reverse order.
Octal Number System
- The concept of the octal number system came from the native Americans
- It consists of 8 digits: 0 to 7
- The octal number system has a base of 8.
Binary Number System
- A computer only understands binary codes.
- Data entered into a computer is converted into its binary equivalent.
- The computer then converts the binary results into their decimal equivalents for output.
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Description
Explanation of different number systems. Includes decimal, binary and octal number systems. Covers decimal to binary conversions. Explains how computers use binary code.
