Question

How many bits does it take to represent 5,000 things?

Answer 1

number of things = 5000
number of bits = 

Answer 2

You need 13 bits to represent 5,000 things because:

• $2^{12}=4,096$ (too small).

• $2^{13}=8,192$ (covers 5,000).

• 
  

Answer:

                      $\boxed{{\displaystyle 13}}$ bits.