I’m wondering if it is possible to make a machine that outputs blues as 0s and reds as 1s corresponding to a bit.
This is for 1 bit
If you mean that you set bits and the colors of the balls output correspond to the bit settings, then see this solution for a 4-bit output machine: Representation of a 4-bit binary number - #3 by lennypitt
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Btw blue means 1 red means 0 I also noticed that this is similar to challenge 38 in the book.
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Tortol, Which ball will remain in the interceptor (what color), and is there a rule?
Conclusion: If the decimal number is even, a blue ball will remain in the interceptor, and if it is odd, a red ball will remain in the interceptor.