# Convert Binary to Decimal 101101

101101 (2) = 2 ^ 0 + 2 ^ 2 + 2 ^ 3 + 2 ^ 5 = 1 + 4 + 8 + 32 = 45 (10).

Explanation: consider the number 101101, represented in the binary system: the rightmost digit has a zero degree, and further from right to left of this digit, the degree increases, i.e. the number takes the following form: 1 (^ 5) 0 (^ 4) 1 (^ 3) 1 (^ 2) 0 (^ 1) 1 (^ 0).

Next, we raise two (since we are working with the binary number system) to the powers of 5, 3, 2 and 0 and multiply the resulting degree by 1 – the base of the degree (you can not do this, taking into account the rules of arithmetic). Raising to the power of 4 and 1 is pointless, since after that you have to multiply by the base of the power – 0, and in the end it will be 0. Add the resulting products and get 45.

Answer: 45.