This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To add binary numbers, we follow the rules of binary addition: 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 0 (with a carry of 1 to the next position) Step 1: Align the binary numbers vertically. c & 1 & 0 & 1 & 0 \\ + & 1 & 0 & 1 & 0 \\ Step 2: Add the rightmost column (least significant bit). 0 + 0 = 0. Write down 0. c & 1 & 0 & 1 & 0 \\ + & 1 & 0 & 1 & 0 \\ & & & & 0 \\ Step 3: Add the second column from the right. 1 + 1 = 0 with a carry of 1. Write down 0 and carry 1 to the next column. c c c c c carry & & & 1 & \\ & 1 & 0 & 1 & 0 \\ + & 1 & 0 & 1 & 0 \\ & & & 0 & 0 \\ Step 4: Add the third column from the right, including the carry. 0 + 0 + carry(1) = 1. Write down 1. c c c c c carry & & & 1 & \\ & 1 & 0 & 1 & 0 \\ + & 1 & 0 & 1 & 0 \\ & & 1 & 0 & 0 \\ Step 5: Add the leftmost column (most significant bit). 1 + 1 = 0 with a carry of 1. Write down 0 and carry 1 to the next position. c c c c c c carry & 1 & & & 1 & \\ & & 1 & 0 & 1 & 0 \\ + & & 1 & 0 & 1 & 0 \\ & 1 & 0 & 1 & 0 & 0 \\ The sum is 10100_2. The correct option is 10100. That's 2 down. 3 left today — send the next one.