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3.3.1 - Number Bases

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Overview
Flight Path
Learning Objectives
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IDSkill_name
 3.3.1.1 I can understand decimal (base 10)
 3.3.1.2 I can understand binary (base 2)
 3.3.1.3 I can understand hexadecimal (base 16).
 3.3.1.4 I can understand that computers use binary to represent all data and instructions.

🏁 Learning Objective 1 :- I can understand decimal (base 10)

Denary number system

Visualizing Base-10

Decryption

🏁 Learning Objective 2 :- I can understand binary (base 2)

Binary

Decryption
Decryption


Questions

Convert the following Binary numbers to decimal

  1. 1101
  2. 11101
  3. 01011101
  4. 11011101
  5. 01011001
  6. 11111111

Convert the following denary numbers to binary

  1. 13
  2. 27
  3. 56
  4. 101
  5. 147
  6. 211

Convert the following denary numbers to binary

  1. 2416
  2. 4195
Write the answer in your revision document


🏁 Learning Objective 3 :- I can understand hexadecimal (base 16).

Base-16 - Hexadecimal


Converting base systems

Base-16 is also called hexadecimal. It's commonly used in computer programming, so it's very important to understand. Let's start with counting in hexadecimal to make sure we can apply what we've learned about other bases so far.

Since we are working with base-16, we have 16 digits. So, we have 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ... and yikes! We've run out of digits, but we still need six more. Perhaps we could use something like a circled 10?

The truth is, we could, but this would be a pain to type. Instead, we simply use letters of the alphabet, starting with A and continuing to F. Here's a table with all the digits of base-16:


Questions

Convert the following hexadecimal numbers to binary.

  1. 68
  2. 92
  3. 1A
  4. A7
  5. CC
  6. EA

Convert the following binary numbers to hexadecimal.

  1. 10010001
  2. 10101000
  3. 10011010
  4. 10101010
  5. 11001110

Convert the following hexadecimal numbers to decimal.

  1. 35
  2. 1A
  3. 2C
  4. 4B
  5. DF
  6. AE

Convert the following decimal numbers to hexadecimal.

  1. 31
  2. 49
  3. 63
  4. 111
  5. 144
  6. 201
Write the answer in your revision powerpoint!


🏁 Learning Objective 4 :- I can understand that computers use binary to represent all data and instructions.

Binary code


Binary

Bits, nibbles and bytes


Decryption

Understanding Binary

Questions

Describe the term binary.

Why do computers use binary not denary?

Where does the word 'bit' come from?

What is the difference between a bit, a nibble and a byte?

What is the difference between a Kibibyte and a Kilobyte

Write the answer in your revision document



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Teacher Date: 2019-08-20


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