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Answer:
6 bits
Explanation:
5 bits gets you 2^5=32 possibilities (values 0-31), which is not enough for 50.
6 bits gets you 2^6=64 possibilities (values 0-63), which is enough.
To calculate for an arbitrary number, take the 2-log, and round up:
[tex]\log_2(50) \approx 5.64[/tex]
rounded up is 6.