This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
Okay, let's convert the binary number 10100100_2 (which is the binary representation of 164_10 from our previous conversation) back to its decimal equivalent. To convert a binary number to decimal, we multiply each digit by the corresponding power of 2, starting from 2^0 for the rightmost digit, and then sum the results. The binary number is 10100100_2. Step 1: Write out each binary digit multiplied by its corresponding power of 2. (1 × 2^7) + (0 × 2^6) + (1 × 2^5) + (0 × 2^4) + (0 × 2^3) + (1 × 2^2) + (0 × 2^1) + (0 × 2^0) Step 2: Calculate the value of each term. (1 × 128) + (0 × 64) + (1 × 32) + (0 × 16) + (0 × 8) + (1 × 4) + (0 × 2) + (0 × 1) Step 3: Perform the multiplications. 128 + 0 + 32 + 0 + 0 + 4 + 0 + 0 Step 4: Sum the results. 128 + 32 + 4 = 164 So, the decimal equivalent of 10100100_2 is 164_10. 10100100_2 = 164_10 The final answer is 164_10. I can help you with more questions like this one by one. That's 2 down. 3 left today — send the next one.