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1. Show how to subtract BCD numbers, by stating the rules for generating borrows and applying a correction factor. Show how your rules apply to each of the following subtractions: 8 - 3, 4 - 8, 5 - 9, 2 - 7.

2. How many different 3-bit binary state encodings are possible in a controller with 5 states? How many are possible with 7 states? How many are possible with 8 states?

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