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kvv77 [185]
2 years ago
11

What is the minimum number of bits required to represent the decimal value 3001 in binary?

Computers and Technology
1 answer:
horsena [70]2 years ago
5 0

Answer:

12 bits

Explanation:

With 12 bits you can represent numbers from 0 to 2¹²-1, i.e. 0 to 4095.

To check: with 11 bits you can only represent up to 2047, so that's not enough.

In general, to calculate the number of bits without trial and error, you can take the ²log of the number you want to represent and then round up:

²log(3001) = log(3001)/log(2) ≈ 11.55, rounded up is 12.

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