Questions: How many different values can be represented with 10 bits?
256
1024
512
128
Transcript text: How many different values can be represented with 10 bits?
256
1024
512
128
Solution
Solution Steps
To determine how many different values can be represented with 10 bits, we need to calculate \(2^{10}\). This is because each bit can be either 0 or 1, and with 10 bits, there are \(2^{10}\) possible combinations.
Step 1: Determine the Number of Values Represented by 10 Bits
To find the number of different values that can be represented with 10 bits, we use the formula \(2^n\), where \(n\) is the number of bits. In this case, \(n = 10\).
Step 2: Calculate \(2^{10}\)
We calculate \(2^{10}\):
\[
2^{10} = 1024
\]
Final Answer
The number of different values that can be represented with 10 bits is:
\[
\boxed{1024}
\]