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
The question asks for the result of adding the binary numbers 1010_2 and 1101_2. Step 1: Perform binary addition column by column, starting from the rightmost digit. c c c c c & 1 & 0 & 1 & 0_2 \\ + & 1 & 1 & 0 & 1_2 \\ Step 2: Add the rightmost column (0 + 1). 0 + 1 = 1. c c c c c & 1 & 0 & 1 & 0_2 \\ + & 1 & 1 & 0 & 1_2 \\ & & & & 1 \\ Step 3: Add the second column from the right (1 + 0). 1 + 0 = 1. c c c c c & 1 & 0 & 1 & 0_2 \\ + & 1 & 1 & 0 & 1_2 \\ & & & 1 & 1 \\ Step 4: Add the third column from the right (0 + 1). 0 + 1 = 1. c c c c c & 1 & 0 & 1 & 0_2 \\ + & 1 & 1 & 0 & 1_2 \\ & & 1 & 1 & 1 \\ Step 5: Add the leftmost column (1 + 1). 1 + 1 = 10_2. Write down 0 and carry over 1 to the next position. c c c c c carry & 1 & & & \\ & 1 & 0 & 1 & 0_2 \\ + & 1 & 1 & 0 & 1_2 \\ 1 & 0 & 1 & 1 & 1_2 \\ The sum is 10111_2. Comparing this result with the given options: A. 10111_2 B. 10011_2 C. 11111_2 D. 11000_2 The calculated sum matches option A. The final answer is A.