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A class has 269 students enrolled in it. Each student is to be assigned a unique ID number (in unsigned binary notation). What is the

A class has 269 students enrolled in it. Each student is to be assigned a unique ID number (in unsigned binary notation). What is the minimum number of bits needed to assign each student a unique binary ID number? If we were to increase the number of bits by 1, how many more students can be accommodated in the class and still be assigned a unique binary ID number?

The answers are 9 and 755, but could someone please explain. Thanks!

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