How many bits are needed to represent 32 unique values in binary?Question 4Answera.4b.5c.6d.7
Question
How many bits are needed to represent 32 unique values in binary?
Question 4
Answer
- a. 4
- b. 5
- c. 6
- d. 7
Solution
To determine the number of bits needed to represent 32 unique values in binary, you can use the formula for the number of unique values that can be represented by n bits, which is 2^n.
You need to find the smallest value of n such that 2^n is equal to or greater than 32.
Starting with n=1, 2^1 = 2, which is less than 32. For n=2, 2^2 = 4, which is less than 32. For n=3, 2^3 = 8, which is less than 32. For n=4, 2^4 = 16, which is less than 32. For n=5, 2^5 = 32, which is equal to 32.
So, you need 5 bits to represent 32 unique values in binary. Therefore, the answer is b.5.
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