1. **Problem:** Convert the binary number 101101 to decimal. 2. **Formula and rules:** To convert a binary number to decimal, multiply each bit by $2^{position}$ where position starts from 0 at the rightmost bit. 3. **Step-by-step conversion:** - Binary number: 101101 - Positions: 5 4 3 2 1 0 - Calculation: $1\times 2^5 + 0\times 2^4 + 1\times 2^3 + 1\times 2^2 + 0\times 2^1 + 1\times 2^0$ - Simplify powers: $1\times 32 + 0 + 1\times 8 + 1\times 4 + 0 + 1\times 1$ - Sum: $32 + 0 + 8 + 4 + 0 + 1 = 45$ 4. **Answer:** The decimal equivalent of binary 101101 is **45**.