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# Summary

- In this section you should have learned
- Terms associated with a positional number system
- base/radix
- Least Significant Digit/Bit
- Most Significant Digit/Bit

- The weight of each digit is radix
^{position}
- Algorithms for converting from one base to base 10
- Algorithm for converting from base 10 to another base
- Horner's method or algorithm.
- Terms associated with binary
- bit/byte
- Kilobit through yottabit
- Alternate (base 2) prefix system (kibibit)
- word, half word, double word, quad word

- Hexadecimal and Octal conversions for binary numbers.

- You should be able to
- Given a number and a base other than base 10, convert that number to base 10.
- Given a number in base 10, convert that number to a new base.
- Given a number in binary, octal or hex quickly convert any other of these systems.
- Explain why binary, hex and octal are used in computing