Computer Number Systems: Binary & Hexadecimal
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Questions and Answers

What is the base of the binary number system?

  • 2 (correct)
  • 10
  • 16
  • 8

What is the term used to describe each digit in the hexadecimal number system?

  • Bit
  • Byte
  • Digit
  • Nibble (correct)

How many bits are used to represent each decimal digit in the binary number system?

  • 3
  • 4 (correct)
  • 8
  • 2

What is the purpose of the octal number system?

<p>Used in Unix file permissions and some programming languages (C)</p> Signup and view all the answers

How do you convert a binary number to a decimal number?

<p>Convert each binary digit to decimal and sum the powers of 2 (A)</p> Signup and view all the answers

What is the term used to describe a group of 3 bits in the octal number system?

<p>Octal digit (D)</p> Signup and view all the answers

How do you convert a hexadecimal number to a binary number?

<p>Convert each hexadecimal digit to a 4-digit binary number (B)</p> Signup and view all the answers

What is the term used to describe a group of 4 bits in the binary number system?

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

How do you convert a decimal number to a binary number?

<p>Convert each decimal digit to a 4-digit binary number (D)</p> Signup and view all the answers

Study Notes

Number System in Computers

Binary Number System

  • Uses only two digits: 0 and 1
  • Base-2 number system
  • Each digit is called a bit
  • 8-bit binary number is called a byte
  • Used by computers for internal representation of data
  • Conversion: Each decimal digit can be represented by a 4-digit binary number (0000 to 1001)

Hexadecimal Number System

  • Uses 16 digits: 0-9 and A-F (A=10, B=11, ..., F=15)
  • Base-16 number system
  • Each digit is called a nibble (4-bit binary number)
  • Often used in programming and coding due to its human-readable format
  • Conversion: Each hexadecimal digit can be represented by a 4-digit binary number (0000 to 1111)

Octal Number System

  • Uses 8 digits: 0-7
  • Base-8 number system
  • Less commonly used than binary and hexadecimal
  • Often used in Unix file permissions and some programming languages
  • Conversion: Each octal digit can be represented by a 3-digit binary number (000 to 111)

Number System Conversion

  • Binary to Decimal: Convert each binary digit to decimal (0 or 1) and sum the powers of 2
  • Binary to Hexadecimal: Divide the binary number into groups of 4 bits (nibbles) and convert each group to hexadecimal
  • Binary to Octal: Divide the binary number into groups of 3 bits and convert each group to octal
  • Decimal to Binary: Convert each decimal digit to a 4-digit binary number
  • Hexadecimal to Binary: Convert each hexadecimal digit to a 4-digit binary number
  • Octal to Binary: Convert each octal digit to a 3-digit binary number

Number Systems in Computers

Binary Number System

  • Uses only two digits: 0 and 1, making it a base-2 number system
  • Each digit is called a bit, and 8 bits make up a byte
  • Computers use binary internally to represent data
  • Each decimal digit can be represented by a 4-digit binary number (0000 to 1001)

Hexadecimal Number System

  • Uses 16 digits: 0-9 and A-F (A=10, B=11,..., F=15), making it a base-16 number system
  • Each digit is called a nibble, which is a 4-bit binary number
  • Hexadecimal is often used in programming and coding due to its human-readable format
  • Each hexadecimal digit can be represented by a 4-digit binary number (0000 to 1111)

Octal Number System

  • Uses 8 digits: 0-7, making it a base-8 number system
  • Often used in Unix file permissions and some programming languages
  • Each octal digit can be represented by a 3-digit binary number (000 to 111)

Number System Conversions

  • Binary to Decimal: Convert each binary digit to decimal (0 or 1) and sum the powers of 2
  • Binary to Hexadecimal: Divide the binary number into groups of 4 bits (nibbles) and convert each group to hexadecimal
  • Binary to Octal: Divide the binary number into groups of 3 bits and convert each group to octal
  • Decimal to Binary: Convert each decimal digit to a 4-digit binary number
  • Hexadecimal to Binary: Convert each hexadecimal digit to a 4-digit binary number
  • Octal to Binary: Convert each octal digit to a 3-digit binary number

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Description

A quiz on the basics of number systems used in computers, covering binary and hexadecimal systems, their representations, and conversions.

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