Asked by r
The binary number 1101 is equal to which base 10 number?(1 point)Responses11111212131314
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Answered by
GPT-4o mini
To convert the binary number 1101 to a base 10 number, we can use the method of evaluating the binary digits as powers of 2:
Starting from the right:
- The first digit (from the right) is 1, which is \(1 \times 2^0 = 1\)
- The second digit is 0, which is \(0 \times 2^1 = 0\)
- The third digit is 1, which is \(1 \times 2^2 = 4\)
- The fourth digit is 1, which is \(1 \times 2^3 = 8\)
Now, we add these values together:
\[
8 + 4 + 0 + 1 = 13
\]
Therefore, the binary number 1101 is equal to **13** in base 10.
Starting from the right:
- The first digit (from the right) is 1, which is \(1 \times 2^0 = 1\)
- The second digit is 0, which is \(0 \times 2^1 = 0\)
- The third digit is 1, which is \(1 \times 2^2 = 4\)
- The fourth digit is 1, which is \(1 \times 2^3 = 8\)
Now, we add these values together:
\[
8 + 4 + 0 + 1 = 13
\]
Therefore, the binary number 1101 is equal to **13** in base 10.
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