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.
Binary To Decimal
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