Convert 101101two to a number in base ten

Answer Details

To convert a binary number to a decimal number, we need to multiply each digit of the binary number by its corresponding power of 2, starting from the rightmost digit with the power of 0, and then add the products.

Let's apply this method to convert the binary number 101101 to a decimal number:

1    0    1    1    0    1    (binary digits)
25  24  23  22  21  20  (corresponding powers of 2)
32   0    8    4    0    1     (products)

Now we can add the products to get the decimal equivalent of the binary number:

32 + 0 + 8 + 4 + 0 + 1 = 45

Therefore, the binary number 101101_two is equal to the decimal number 45, which corresponds to.

Therefore, the correct answer is: 45.