Lesson 2 – Denary to Binary

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Presentation transcript:

Lesson 2 – Denary to Binary GCSE Computing – Topic 4 Lesson 2 – Denary to Binary ASPIRE TO: construct a 8-bit 2,9,14,1,18,25 number from a 4,5,14,1,18,25 number CHALLENGE TO: convert a 8-bit 2,9,14,1,18,25 number to a 4,5,14,1,18,25 number

Starter Try to work out the keywords from the learning objectives and the code below using this simple coding method. A - 1 B - 2 .... Z - 26 20,8,5  19,13,1,12,12,5,19,20 21,14,9,20  9,19  1  2,9,20

What are Binary Numbers? https://www.youtube.com/watch?v=kcTwu6TFZ08 or click image to load video

Converting Binary to Denary Each number (1 or 0) is known as a bit, and 8 bits make up a byte. We will be looking ONLY at binary that consists of 8 bits. To convert the binary number 00011101, a table like the one shown above should be created. Where there is a 1 below the number, that number should be added to any others with a 1 below. So in this example the answer is 16+8+4+1=29.

Converting Binary to Denary On your mini-whiteboards convert the following binary numbers to denary: a)1010101 b)111 c)11011010 d)1001

Converting Denary to Binary To convert a number from Denary to Binary the process is reversed. Watch as you are shown how to convert a denary number to binary, for the example 67.

Converting Denary to Binary On your mini-whiteboards convert the following Denary numbers to binary: a) 19 b) 26 c) 201 d) 105

Task – Binary Game You will be given a set of questions for level 1. You will need to work in teams to work out the answers. You will need to convert denary numbers to binary numbers and vice versa. When you think you have got the answer to the final question for that level, come up to the board, select the level and check your answer. If you got it right move onto the next level. The questions get progressively harder, you just need to keep converting!

Task – Binary Questions In your books, complete the following questions. Make sure you show your working. 1. Convert the following numbers from denary to binary. a) 28  d) 235 b) 72  e) 255 c) 131 2. Convert the following numbers from binary to denary. a) 1011 b) 11011 c) 10001010 d) 11001000 Extension: Ask for the binary questions worksheet.

Plenary Using your mini-whiteboards, I will display a number either in denary or binary on the board. As fast as you can either convert it from binary to denary or vice versa and hold it up. 42

Plenary 00000111

Plenary 01010101

Plenary 128

Plenary 152

Plenary 62

Plenary 11100111