How many bits are necessary for a binary representation (unsigned) of:
a. the states of the u. s.a.?
b. the days in a year?
c. the inhabitants of california (est. 36,457,549)?

Hi!

The answer to:

a. 6 bits.

b. 9 bits.

c. 26 bits.

Explanation:

a. For the states of the U.S.A, you need 50 or more combinations to represents each element.

If you use 6 bits, the possible combinations are 2⁶ = 64.  

b. For days in a year, you need 365 or more combinations to represents each element.

If you use 9 bits, the possible combinations are 2⁹ = 512.

c. For inhabitants of California, you need 36,457,549 or more combinations to represents each element.

If you use 26 bits, the possible combinations are 2²⁶ = 67,108,864. If you use 25 bits instead of 26, then you have 2²⁵ = 33,554,432 combinations. These possible combinations are not enough to represent each inhabitant.

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