# Binary

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#### Storyboard Text

• 32
• The binary system  uses 1s and 0s. 1 means on and 0 means off. Computers use the binary system.  The place value spots  are in multiples of 2.
• 1. Set up place value boxes.  Start with one and then the values are in multiples  of 2.  After 1 comes 2, then 4, 8, 16, 32, etc...
• 16
• Binary to Decimal﻿
• 8
• 4
• 2
• By: Lindsey Todd﻿
• 1﻿
• ﻿16
• ﻿
• 32
• ﻿+
• 3. Finally, add up the number values for all the boxes that have a 1. Ignore all the boxes that have a 0.﻿
• 8
• 2. Starting at the box to the farthest right (1 box) place the 1s and 0s in the boxes. For this example, we'll use 11001.
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• 1﻿
• +
• 1
• 8
• 1﻿
• =
• 0
• 4
• 2
• 0
• 1﻿
• 1﻿
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• 32
• The decimal system is used by  people and contains the digits 0-9.
• 1. Set up the box values that you use in the binary system.
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• Decimal to Binary﻿
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• 4
• 2
• 1﻿
• 37-35=5﻿
• 1﻿
• 32
• 3.Subtract the box number from the base number. Next, find the binary box that's less than the remainder.﻿ Continue this pattern until your remainder is 0.
• 2. For this example we'll use the number 37.  Start at the farthest left box and then go right until you reach the box that is less than your base number. Then, put a 1 in that box. For this example, find the box that's less than 37.
• 32
• 1﻿
• 16
• 0
• 16
• 8
• 8
• 0
• ﻿5-4=1
• 4
• 4
• 1﻿
• 2
• 2
• 0
• 1-1=0﻿
• 1﻿
• 1﻿
• 1
• ﻿
• ﻿100101
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