Convert 1011 to base 10
To convert 1011 to base 10, we need to understand that each digit represents a power of the base, which in this case is 2.
The rightmost digit is the ones place, the next digit to the left is the twos place, then the fours place, and so on.
So, let's break down each digit:
1 * 2^0 = 1 * 1 = 1
1 * 2^1 = 1 * 2 = 2
0 * 2^2 = 0 * 4 = 0
1 * 2^3 = 1 * 8 = 8
Adding up these values, we get:
1 + 2 + 0 + 8 = 11
Therefore, 1011 in base 10 is equal to 11.
To convert a binary number to base 10, you need to multiply each digit by the corresponding power of 2 and then sum the results.
In this case, we have the binary number 1011.
Starting from the rightmost digit, we have:
(1 × 2^0) + (1 × 2^1) + (0 × 2^2) + (1 × 2^3)
Simplifying this, we get:
1 + 2 + 0 + 8
The final result is:
1 + 2 + 0 + 8 = 11
Therefore, the binary number 1011 is equal to 11 in base 10.