5.2. Number Bases

• What is a number base?

  A system for representing numbers
• What is the decimal number base?

  Base 10
• What is the binary number base?

  Base 2
• What is the hexadecimal number base?

  Base 16
• Why do humans primarily use decimal?

  Because we have ten fingers
• How are decimal numbers denoted?

  With a subscript 10
• How are binary numbers denoted?

  With a subscript 2
• How are hexadecimal numbers denoted?

  With a subscript 16
• What characters does hexadecimal use?

  0-9 and A-F
• Why is hexadecimal considered compact?

  It uses fewer digits than binary
• How many digits does the number 733452 use in binary?

  Twenty
• How many digits does the number 733452 use in hexadecimal?

  Five
• How do you convert from binary to decimal?

  Using place value headers in powers of two
• What is the decimal equivalent of the binary number 10110010?

  178
• How do you convert from decimal to binary?

  Use place value headers and subtract values
• What is the binary representation of the decimal number 53?

  110101
• What is a nybble in binary?

  Four binary bits
• How do you convert from binary to hexadecimal?

  Split binary into nybbles and convert
• What is the hexadecimal equivalent of the binary number 10110010?

  B2
• How do you convert from hexadecimal to decimal?

  Convert hexadecimal to binary first
• What is the decimal equivalent of the hexadecimal number B2?

  178
• How do you convert from decimal to hexadecimal?

  Convert decimal to binary, then to hexadecimal
• What is the hexadecimal representation of the decimal number 178?

  B2