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# devise a number system based on base 11.

a)draw the number line
b)show examples of addition and subtraction
c)develop a representation of negative numbers based on elevens complement

Hi Stephanie: I guess first I want to make sure you understand what a base 11 number system would mean. Our current number system that we use is base 10, which means that we have the digits 0,1,2,3,4,5,6,7,8,9...and then since it's base ten, the number 10 is represented by 10. So, in base 11, we would have 0,1,2,3,4,5,6,7,8,9...and then we have to invent another symbol for ten, let's call it "t" (you could choose any symbol you wanted). so, in base eleven, we have...0,1,2,3,4,5,6,7,8,9,t, and eleven is now represented by 10. Twelve would be 11, thirteen would be 12, fourteen would be 13, fifteen would be 14, sixteen would be 15, seventeen would be 16, eighteen would be 17, nineteen would be 18, twenty would be 19, twenty-one would be 1t, and twenty-two would be 20. Can you see this?

yes thank you.

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