Convert 111111 in base 2 to a number in base ten

Answer 1

To convert 111111 from base 2 to base 10, we need to use the positional value of each digit in base 2. The rightmost digit has a positional value of 2^0 (which is 1), and then each subsequent digit to the left has a positional value double the previous digit.

Therefore, the conversion would be as follows:

1 * 2^0 = 1
1 * 2^1 = 2
1 * 2^2 = 4
1 * 2^3 = 8
1 * 2^4 = 16
1 * 2^5 = 32

Adding up all the positional values, we get: 1 + 2 + 4 + 8 + 16 + 32 = 63

So, 111111 in base 2 is equal to 63 in base 10.