Convert binary 1111 to Decimal?

Question

ScanSolve AI Tutor · Accepted Answer

To convert a binary number to decimal, multiply each digit by the corresponding power of 2 and sum the results.

Identify the binary number and assign powers of 2 to each digit, starting from the rightmost digit with $2^0$ .
The binary number is $1111_2$ .
$1 \cdot 2^3 + 1 \cdot 2^2 + 1 \cdot 2^1 + 1 \cdot 2^0$
Calculate the value of each power of 2.
$2^3 = 8$ $2^2 = 4$ $2^1 = 2$ $2^0 = 1$
Substitute the power values and perform the multiplications.
$1 \cdot 8 + 1 \cdot 4 + 1 \cdot 2 + 1 \cdot 1$ $8 + 4 + 2 + 1$
Sum the results to get the decimal equivalent.
$8 + 4 + 2 + 1 = 15$
The decimal equivalent of binary 1111 is 15.

Answer