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How many possible keys exist in a 4-bit key space?
A. 4
B. 256
C. 16
D. 8

User Pierz
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1 Answer

3 votes

Final answer:

In a 4-bit key space, each bit has two possibilities: 0 or 1. Therefore, there are 2^4 or 16 possible keys.

Step-by-step explanation:

The question pertains to the number of possible keys in a 4-bit key space. In the context of digital systems and cryptography, a key is a piece of information (or parameter) that determines the functional output of a cryptographic algorithm. For a 4-bit key space, each bit can be either 0 or 1, and there are two possibilities for every bit. Therefore, the total number of possible keys is 2 raised to the power of the number of bits.

Using the formula 2n, where n is the number of bits, we get 24 which equals 16. So, the correct answer is C. 16. This means there are 16 distinct keys that can be formed from a 4-bit key space. Each key would be a unique combination of 0s and 1s.

User Nick Beeuwsaert
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