To convert a binary number to a decimal number, you need to understand the positional value of each bit in the binary sequence. Each bit represents a power of 2, starting from 0 on the far right. We will convert the binary number \(101101_2\) into its decimal form following these steps:

1. Write down the positions of each bit from right to left, starting with 0. For \(101101_2\), this would be: 
   \(2^5,\ 2^4,\ 2^3,\ 2^2,\ 2^1,\ 2^0\)
2. Match each bit in the binary number with its positional value:
   • The first bit (from left) is 1, which corresponds to \(2^5\).
   • The second bit is 0, corresponding to \(2^4\).
   • The third bit is 1, corresponding to \(2^3\).
   • The fourth bit is 1, corresponding to \(2^2\).
   • The fifth bit is 0, corresponding to \(2^1\).
   • The sixth bit is 1, corresponding to \(2^0\).
3. Calculate the decimal value represented by each positional bit being set to 1:
   • \(1 \times 2^5 = 32\)
   • \(0 \times 2^4 = 0\)
   • \(1 \times 2^3 = 8\)
   • \(1 \times 2^2 = 4\)
   • \(0 \times 2^1 = 0\)
   • \(1 \times 2^0 = 1\)
4. Add up all the values obtained in the third step:
   • \(32 + 0 + 8 + 4 + 0 + 1 = 45\)

Therefore, the decimal equivalent of the binary number \(101101_2\) is 45.

The correct answer is therefore 45, confirming it as the correct option from the given choices.