Convert 1011 to base 10

Answer 1

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.