Lesson 2: Binary to Denary Conversion.

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Presentation transcript:

Lesson 2: Binary to Denary Conversion. DATA REPRESENTATION Lesson 2: Binary to Denary Conversion. YEAR 7 @ MIDHURST ROTHER COLLEGE

BRAIN WARMING 4 3 2 1 Only using the above numbers once, can you add them up to make the following numbers? 5 6 7 8 EXTENSION: Is there more than one way? What is the highest number you can make?

DATA REPRESENTATION In this lesson you will... LEARN how to convert binary into numbers. So that you can… UNDERSTAND what 4-bit and 8-bit binary numbers mean.

DISCUSS: HOW DO WE WRITE NUMBERS? IN PAIRS: Think about how you write numbers down. How many digits can you use? What do you count in? Do you know what system is used? After 5mins you will be asked to share your thoughts with the rest of the class.

DENARY To write numbers we use ‘denary’ (or ‘decimal’). Because we have 10 digits available to use, we use base 10. This means we use 1s, 10s, 100s… etc to represent our numbers. 10,000 1,000 100 10 1 3 6 7 2 3 x 1,000 6 x 100 7 x 10 2 x 1

DISCUSS: BINARY How many digits can we use? If denary uses base 10, what do you think binary uses?

BINARY In binary we only have 2 digits available to use (0 or 1), so we use base 2. This means we use 1s, 2s, 4s, 8s… etc to represent binary numbers. To convert this binary number to denary, we simply look at where the 1s are placed and add up the values. Here we have a 1 with a value of 4 and a 1 with a value of 1. So, 4 + 1 = 5 16 8 4 2 1 0 x 8 = 0 1 x 4 = 4 0 x 2 = 0 1 x 1 = 1

CONVERT 4-BIT BINARY TO DENARY In your OneNote, on one page explain how you convert binary numbers to denary numbers. Then convert these 4-bit binary numbers into denary numbers. 1001 6) 1000 0011 7) 0100 1100 8) 1110 0110 9) 1011 0111 10) 1111 8 4 2 1 NEED HELP? Ask the teacher or partner for further assistance. You can use a calculator. EXTENSION: Can you make some of your own binary to denary questions?

CONVERT 8-BIT BINARY TO DENARY In your OneNote, convert these 8-bit binary numbers into denary numbers. 10010000 10016) 10001000 01000011 00117) 01000100 11000011 8) 11101110 01100110 9) 10111101 00010111 011110) 11110101 128 64 32 16 8 4 2 1 NEED HELP? Ask the teacher or partner for further assistance. You can use a calculator. EXTENSION: What is the highest number that can be converted from 8-bit binary? How about 16-bit?

PLENARY: WHO GETS THE JOKE? Write this joke in your OneNote. Do you get the joke? Do you understand binary code?