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# What is binary and why do we use it?

Introduction to binary numbers and simple calculator using Excel.

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### What is binary and why do we use it?

1. 1. The first computer was NOT a binary machine .. but that was a mistake
2. 2. Which is clearer?
3. 3. Which is clearer?
4. 4. Confident?
5. 5. recursive 89635839 010011010
6. 6. How binary works Units (1s) 0 2s 1 4s 1  Just two numbers, 0 and 1 8s 1 16s 1 32s 0  Place matters 64s 1 128s 0  To convert to decimal, just add them up! 0*128 + 1*64 + 0*32 + 1*16 + 1*8 + 1*4 + 1*2 + 0*1
7. 7. Can you do it? Decimal number 128 64 32 16 8 4 2 1 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1
8. 8. Can you do it the other way? Decimal number 128 64 32 16 8 4 2 1 6 7 15 23 62 127 96
9. 9. What’s the bottom of Excel?
10. 10. Excel binary to decimal  Use eight cells for the binary number  Put the magic numbers below:  128,64,32,16,8,4,2,1  Multiply *  Add the results =sum()  Make it look good  Can you do it the other way round?
11. 11. Excel decimal to binary  Use =div() to divide by two  Keep doing it  Use =mod() to find the remainder  That gives you the binary digits =int(/2) Decimal number here =mod(,2)
12. 12. Can you ….  Write out a binary number?  Convert binary to decimal?  Convert decimal to binary?  Use multiply in a spreadsheet?  Drag-Copy in a spreadsheet?  Use =SUM() in a spreadsheet?  Use =INT() in a spreadsheet?  Use =MOD() in a spreadsheet?