To convert the binary number 1011 to its decimal equivalent, you can use the powers of 2:
- The rightmost digit (1) represents \(2^0\) which is 1.
- The next digit (1) represents \(2^1\) which is 2.
- The next digit (0) represents \(2^2\) which is 0.
- The leftmost digit (1) represents \(2^3\) which is 8.
Now, add them together:
\[ 8 + 0 + 2 + 1 = 11 \]
Therefore, the decimal equivalent of the binary number 1011 is 11.