Hexadecimal numbers

• What is the hexadecimal number system used for?

  It is used regularly in programming.
• How does hexadecimal represent numbers?

  It uses a combination of digits and letters.
• How does hexadecimal compare to binary?

  Hexadecimal numbers are shorter than binary.
• What digits does hexadecimal (base-16) use?

  • Sixteen different digits: 0-9 and A-F
• What does a single hex character represent in denary?

  It represents any denary number from 0 to 15.
• How many bits are required to represent 0-15 in binary?

  4 bits are required, known as a nibble.
• Why do programmers prefer hexadecimal when coding?

  • Simpler to remember large numbers
  • Shorter than binary numbers
  • Less chance of input errors
  • Easier to convert between binary and hex
• What is the process to convert hex to denary?

  1. Draw a table for hex number
  2. Multiply each hex character by its place value
  3. Add up the results
• What is the denary equivalent of the hexadecimal number 87?

  135
• How do you convert denary to hex?

  1. Draw a table for division
  2. Divide the denary number by 16
  3. Record the remainder
  4. Repeat until the quotient is 0
• What is the hexadecimal equivalent of the denary number 106?

  6A
• How do you convert binary to hex?

  1. Split binary into nibbles (4-bit chunks)
  2. Convert each nibble to hex
  3. Combine hex values
• What is the hexadecimal equivalent of the binary number 10111001?

  89
• How do you convert a binary number that can't be split into nibbles?

  Add zeros to the front of the binary number.
• What is the hexadecimal equivalent of the binary number 111110?

  3E
• How do you convert hex to binary?

  1. Convert each hex character to denary
  2. Find the binary value of each denary number
  3. Combine the binary numbers
• What is the binary equivalent of the hexadecimal number 8C?

  10001100