Exploring numbers

• The binary number system uses only two symbols: 0 and 1
• The octal number system uses the symbols 0-9.

  False
• What is the decimal equivalent of the binary number 1011?

  11
• What is the primary use of the binary number system in computers?

  Primary language
• The decimal number system uses the digits 0-10.

  False
• What are the symbols used in the hexadecimal number system?

  0-9, A-F
• What is the base of the hexadecimal number system?

  16
• Each hexadecimal digit represents a 4-bit binary value.

  True
• To convert a binary number to decimal, multiply each bit by its corresponding power of 2
• What are the symbols used in the decimal number system?

  0-9
• What is the core language for computers to process information?

  Binary
• Each bit in a binary number represents a power of 2.


  True
• Each bit in a binary number represents a power of 2.
• The rightmost bit in a binary number represents 2^0.


  True
• The hexadecimal number system uses 16 symbols: the digits 0-9 and the letters A-F, making it a base-16 system.
• Which number system is most commonly used for everyday arithmetic?

  Decimal
• Each hexadecimal digit (0-9, A-F) represents a 4-bit binary value
• The binary number system uses only the digits 0 and 1.


  True
• The binary number system is the fundamental language of computers
• Hexadecimal is a more compact representation of binary data.


  True
• Steps to convert the binary number 1011 to decimal

  1️⃣ Multiply each bit by its corresponding power of 2

  2️⃣ Sum the results
• Each hexadecimal digit represents a 4-bit binary value
• What is the decimal equivalent of the binary number 1011?

  11
• The binary number system has a base of 2
• The decimal number system is primarily used in computers.

  False
• Which number system simplifies binary for representation?

  Octal
• Steps to convert a binary number to decimal:

  1️⃣ Multiply each bit by its corresponding power of 2

  2️⃣ Add the results
• Computers use only binary and decimal number systems.

  False
• The octal number system uses the base 8
• Match the binary number with its decimal equivalent:

  0000 ↔️ 0

  0001 ↔️ 1

  0010 ↔️ 2

  0011 ↔️ 3
• The hexadecimal number system uses the base 16
• Each hexadecimal digit represents a 4-bit binary value.


  True
• The binary number system uses only the digits 0 and 1
• What is the fundamental language of computers?

  Binary
• The hexadecimal number system provides a more compact representation of binary data.


  True
• Match the number system with its base:

  Decimal ↔️ 10

  Binary ↔️ 2

  Octal ↔️ 8

  Hexadecimal ↔️ 16
• Hexadecimal is commonly used in programming and addressing
• The binary number system is a base-2 system.
• The binary number system uses only the digits 0 and 1.


  True
• What is the decimal equivalent of the binary number 1011?

  11