Binary

Learning Outcomes Lo1: Recognise Binary Code LO2: Describe how to convert it LO3: Convert numbers in binary

Starter Video: James May explains binary

Binary Computers know two things 0 and 1, this is how they work. We program a computer to do things this is us communicating with the computer. There are lots of circuits in a computer and these must be told to be on or off. The computer understands this by: 0 means OFF 1 means ON

The computers language is Binary. We need to know the computers language sow e can control it The computers language is Binary. Binary looks like this: 010101000110100001101001011100110010 00000110100101110011001000000110010 10110000101110011011110010000110100 001010

The computer can only use 0s and 1s So for a computer numbers look like this: Denary (our numbers) Binary 1 2 10 3 11 4 100 5 101 6 110 7 111 8 1000 9 1001 1010 1011 12 1100

Denary numbers (our numbers) – keep doubling! How do we do this? Denary numbers (our numbers) – keep doubling! Make a table like this.. 128 64 32 16 8 4 2 1 To make the number 9, place a 1 under the numbers that you need and a 0 under the numbers that you don’t… 128 64 32 16 8 4 2 1 This is Binary

So 9 for us, is 00001001 for the computer 128 64 32 16 8 4 2 1 We can forget the first few 0s and our binary number 9 looks like this… 1001

Use your table to convert these numbers to binary: 3 2 6 10 17 20 42 47 71 146 255

Answers 3 2 6 10 17 20 42 47 71 146 255 11 10 110 1010 10001 10100 101010 101111 1000111 10010010 11111111

Is there any number that cant be converted? Task 2 In pairs, give your partner a number under 255 and see if they can convert it into binary. Is there any number that cant be converted?

Plenary Two stars and a wish