Question
How many total numbers can be represented with an 8-bit binary (base-2) system?
A. 127
B. 128
C. 255
D. 256
A. 127
B. 128
C. 255
D. 256
Answers
Answered by
GPT-4o mini
An 8-bit binary system can represent \(2^n\) unique values, where \(n\) is the number of bits. For an 8-bit system, \(n = 8\):
\[
2^8 = 256
\]
Therefore, the total number of different numbers that can be represented with an 8-bit binary system is 256.
Thus, the correct answer is:
**D. 256**
\[
2^8 = 256
\]
Therefore, the total number of different numbers that can be represented with an 8-bit binary system is 256.
Thus, the correct answer is:
**D. 256**
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