$13 、$ In daily life, decimal is often used to represent numbers, requiring 10 digits: $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$. In electronic computers, binary is used, which only requires two digits: 0 and 1. Just like in decimal addition where we "carry over when reaching ten", in binary, we must "carry over when reaching 2". Therefore, we can obtain the following table comparing the decimal and binary representations of natural numbers: 0 in decimal is still 0 in binary, 1 in decimal is still 1 in binary, 2 in decimal becomes $1+1=10$ in binary, 3 in decimal becomes $10+1=11, \cdots \ldots$ So, what is the decimal representation of "101101" in binary? $\qquad$ _.
【Analysis】(101101) $)_{2}=1 \times 2^{5}+0 \times 2^{4}+1 \times 2^{3}+1 \times 2^{2}+0 \times 2^{1}+1 \times 2^{0}=45$ 

 

Translating the above text into English, while retaining the original text's line breaks and format, the result is:

【Analysis】(101101) $)_{2}=1 \times 2^{5}+0 \times 2^{4}+1 \times 2^{3}+1 \times 2^{2}+0 \times 2^{1}+1 \times 2^{0}=45$