1. The problem given is the binary number 1111101. 2. We need to convert this binary number into its decimal equivalent. 3. Recall that each binary digit represents a power of 2, starting from the right at $2^0$. 4. Writing out the powers of 2 for each digit in 1111101 from right to left: $1\times2^0 + 0\times2^1 + 1\times2^2 + 1\times2^3 + 1\times2^4 + 1\times2^5 + 1\times2^6$ 5. Evaluating each term: $1\times1 + 0\times2 + 1\times4 + 1\times8 + 1\times16 + 1\times32 + 1\times64$ 6. Calculating the sum: $1 + 0 + 4 + 8 + 16 + 32 + 64 = 125$ 7. Therefore, the binary number 1111101 corresponds to the decimal number 125.