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.