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Computer Programming 12 Mr. Jean February 5th, 2014 The plan: • Video clip of the day – http://www.youtube.com/watch?v=JjZNmhJ8X u4 • Intro to Binary • Intro to number systems Introduction to Binary: Binary Base 2 x2 x2 8 1 or 0 x2 4 1 or 0 x2 2 1 or 0 1 1 or 0 Binary Base 2 x2 x2 8 1 2 4 10 x2 4 x2 2 1 Binary Base 2 x2 x2 x2 x2 8 4 2 1 1 0 0 0 1 2 0 0 1 0 4 0 1 0 0 10 1 0 1 0 Binary Base 2 1 0001 2 0010 4 0100 10 1010 Binary Base 2 x2 x2 8 x2 4 x2 2 1 Binary Digit = Bit x2 x2 8 x2 4 x2 2 1 Binary Base 2 x2 x2 128 64 x2 x2 32 16 Byte x2 x2 8 4 x2 2 1 Introduction to Binary: • Marble Counting Machine: • http://www.youtube.com/watch?v=GcDsh WmhF4A • http://www.youtube.com/watch?v=md0TlSj Iags •KiloByte •Megabyte •Gigabyte •TeraByte 512 256 128 64 1 1 1 1 1024 Bytes 1024 KiloBytes 1,048,576 Bytes 1024 MegaBytes 1,073,741,824 Bytes 1024 GigaBytes 1,099,511,627 ,776 Bytes 32 1 16 1 8 1 4 2 1 1 1 1 Binary Video: • https://www.youtube.com/watch?v=ry1hp m1GXVI Practice for Adding in Binary: 1. • Convert 20 to Binary • Convert 12 to Binary • Add the Two Binary Numbers together 2. • • • • Convert 23 to Binary Convert 31 to Binary Add the Two Binary Numbers together Find the Binary and decimal answer How to find 59? • My first step is to find the largest power of 2 that is less than 59. • 1, 2, 4, 8, 16, 32, 64. Ok, 64 is larger than 59 so we take one step back and get 32. 32 is the largest power of 2 that is still smaller than 59. • It can go in only once because 2 x 32 = 64 which is larger than 59. So, we write down a 1. • Now, we subtract 32 from 59: 59 – (1)(32) = 27. And we move to the next lower power of 2. In this case, that would be 16. How many full times can 16 go into 27? Once. So we write down another 1 and repeat the process. 1 • 1 • 27 – (1)(16) = 11. The next lowest power of 2 is 8. How many full times can 8 go into 11? Once. So we write down another 1. • 111 • 11 • 11 – (1)(8) = 3. The next lowest power of 2 is 4. How many full times can 4 go into 3? Zero. So, we write down a 0. • 1110 • 3 – (0)(4) = 3. The next lowest power of 2 is 2. – How many full times can 2 go into 3? – Once. So, we write down a 1. • 11101 • 3 – (1)(2) = 1. And finally, the next lowest power of 2 is 1. How many full times can 1 go into 1? Once. So, we write down a 1. • 111011 To do: • Complete the first side of the binary sheet – Complete Questions 1 and 2 • Complete the “About Me” powerpoint • Upcoming items: – Correcting Binary sheet – Adding and subtracting in binary