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Y10 AU – P5 – Hexadecimal

  • DIN
  • Objectives
  • Activity 1
  • Activity 2
  • Plenary

⏱️ Do It Now

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Y10 AU – P5 – Hexadecimal

Complete this table and copy it into the OneNote document:

⏱️ Do It Now:
Complete the following tasks

(1) Complete 10 binary additions: Binary Addition Practice
Screenshot the result below:





(2) Complete 10 two’s complement conversions: Two’s Complement Practice
Screenshot the result below:




🎯 Learning Objectives

(1) Objective 1

(2) Objective 2

(3) Objective 3

⌨️ Activity 1 – Denary and Hexadecimal

  • Tab 1
  • Tab 2
  • Tab 3
  • Tab 4

Hexadecimal

  • Hexadecimal (or hex) is a number system which uses base 16
  • As we only have 10 digits, it uses 0-9 and then the letters A to F
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0 1 2 3 4 5 6 7 8 9 A B C D E F
  • What is F in denary?
  • What is 10 in hex?

Hex to denary conversion

  • You will only need to translate one- or two-digit hexadecimal numbers
16s Units
2 A
2×16 + 10 = 42 in denary
  • Multiply the left-hand digit by 16, then add the units
  • What is hex 27 in denary?

Denary to hex conversion

  • Divide the denary number by 16 to get the number of 16s
    (the left-hand hex digit)
  • The remainder gives you the units

Denary 18 becomes:

18 / 16 = 1 remained 2 so
the hex value for 18 is 12

(Spoken, ‘One Two’, not ‘Twelve’)

  • What is denary 27 in hex?
  • What is denary 44 in hex?

Copy These Questions Into OneNote

Denary to Hexadecimal

  1. Convert denary 23 to hexadecimal.
  2. Convert denary 45 to hexadecimal.
  3. Convert denary 62 to hexadecimal.
  4. Convert denary 89 to hexadecimal.
  5. Convert denary 127 to hexadecimal.

Hexadecimal to Denary

  1. Convert hexadecimal 1A to denary.
  2. Convert hexadecimal 2F to denary.
  3. Convert hexadecimal 3C to denary.
  4. Convert hexadecimal 4D to denary.
  5. Convert hexadecimal 7B to denary.

Click anywhere in this box to select all questions.

⌨️ Activity 2 – Binary and Hexadecimal

  • Tab 1
  • Tab 2
  • Tab 3

Binary to hex conversion

  • Take a binary number of 8 bits
    11100101
  • Divide into two nibbles of 4 bits
    1110      0101
  • Convert each nibble into its hex value and rejoin
    1110 = 14 = E in Hex + 0101 = 5 in Hex
So 11100101 = E5 in Hex

Hex to binary conversion

What is 3B in binary?

Split the two hex characters

3 = 0011 and B = 11 = 1011

So 3B = 0011 1011 in binary

What is hex 21 in binary?

What is hex A5 in binary?

Let’s practice with the online convertor: Denary → Binary → Hex — Nibbles Copy Checker

Screenshot your results and paste them into OneNote

🎓 Plenary

In OneNote, explain why we user