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Note that since these number systems possess base 2k all numbers within these systems can be uniquely represented by k binary bits. For example



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This lecture notes are designed for the MATH 5510 which is the ?rst graduate course in numerical analysis at Univer- sity of Connecticut Here I present the material which I consider important for students to see in their ?rst numerical analysis course



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What is a number system?

How many digits are there in a decimal number system?

Is the number system positional or base 10?

Do Roman numerals have a positional system?