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Convert 1110 base 2 to base 10

October 18, 2026Mathematics

ScanSolve AI Answer

Answer

29

4 steps

To convert a binary number to base 10, multiply each digit by the corresponding power of 2, starting from $2^0$ for the rightmost digit.

Identify the digits and their positions.
The binary number is $11101_2$ .
The digits from right to left are:
$1 \quad (2^0)$
$0 \quad (2^1)$
$1 \quad (2^2)$
$1 \quad (2^3)$
$1 \quad (2^4)$
Multiply each digit by its corresponding power of 2.
$1 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0$
Calculate the values of the powers of 2 and perform the multiplications.
$1 \times 16 + 1 \times 8 + 1 \times 4 + 0 \times 2 + 1 \times 1$ $16 + 8 + 4 + 0 + 1$
Sum the results.
$16 + 8 + 4 + 0 + 1 = 29$
The base 10 equivalent of $11101_2$ is 29.

The final answer is 29.