Question

What is the decimal equivalent to the binary number 1011? (1 point) Responses 3 3 11 11 13 13 15

Answer 1

To convert the binary number 1011 to its decimal equivalent, you can calculate it as follows:

- The rightmost bit represents \(2^0\),
- The next bit represents \(2^1\),
- The next bit represents \(2^2\),
- The leftmost bit represents \(2^3\).

So for 1011:

- \(1 \times 2^3 = 1 \times 8 = 8\)
- \(0 \times 2^2 = 0 \times 4 = 0\)
- \(1 \times 2^1 = 1 \times 2 = 2\)
- \(1 \times 2^0 = 1 \times 1 = 1\)

Now, add these values together:

\(8 + 0 + 2 + 1 = 11\)

Therefore, the decimal equivalent of the binary number 1011 is **11**.