In the following, write the binary number in base 10.
10112
The binary number 1011 in base 10 is equal to 11.
To convert a number in binary (base 2) to decimal (base 10), you follow these steps:
1. Write down the binary number. In this case, the binary number is 10112.
2. Start from the rightmost digit and assign each digit a power of 2, increasing by 1 as you move from right to left.
3. Multiply each digit by its respective power of 2.
4. Add the products together.
Let's calculate it step-by-step:
The rightmost digit is 1.
1 × 2^0 = 1 × 1 = 1.
The next digit to the left is 1.
1 × 2^1 = 1 × 2 = 2.
The leftmost digit is 0.
0 × 2^2 = 0 × 4 = 0.
Now, add the products together:
1 + 2 + 0 = 3.
Therefore, the binary number 10112 in base 10 is equal to 3.