10011101
To explain the steps involved in the given binary number (10011101) in the C++ programming language, we need to convert it to its decimal equivalent. Here are the steps:
Step 1: Write down the binary number (10011101).
Step 2: Start from the rightmost digit (the least significant bit) and assign the value 1 to it.
Step 3: Move to the next digit to the left. In this case, it is 0. Multiply this digit by 2 raised to the power of its position from the right. Since it is in the second position from the right, the exponent is 1. So, 0 multiplied by 2^1 becomes 0.
Step 4: Move to the next digit to the left. In this case, it is 1. Multiply this digit by 2 raised to the power of its position from the right. Since it is in the third position from the right, the exponent is 2. So, 1 multiplied by 2^2 becomes 4.
Step 5: Repeat Step 4 for the remaining digits, moving from right to left and increasing the exponent by 1 each time.
Step 6: Add up all the results from Step 3 to Step 5. In this case, 1 + 0 + 4 + 0 + 8 + 16 + 32 + 64 = 125.
Step 7: The final result is 125, which is the decimal equivalent of the binary number 10011101.
These steps demonstrate the process of converting a binary number to its decimal equivalent in C++.