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
Here are the solutions to your binary addition problems. Part 1: 110_two + 11_two Step 1: Align the numbers for addition. c 110_two \\ + 11_two \\ Step 2: Add the rightmost column (0 + 1 = 1). c 110_two \\ + 11_two \\ 1_two Step 3: Add the middle column (1 + 1 = 10_two). Write down 0 and carry over 1. c ^1 \\ 110_two \\ + 11_two \\ 01_two Step 4: Add the leftmost column, including the carry-over (1 + 1 = 10_two). Write down 0 and carry over 1. c ^1 ^1 \\ 110_two \\ + 11_two \\ 001_two Step 5: Bring down the final carry-over. c ^1 ^1 \\ 110_two \\ + 11_two \\ 1001_two The sum is 1001_two. Part 2: 11011_two + 1010_two Step 1: Align the numbers for addition. c 11011_two \\ + 1010_two \\ Step 2: Add the rightmost column (1 + 0 = 1). c 11011_two \\ + 1010_two \\ 1_two Step 3: Add the next column (1 + 1 = 10_two). Write down 0 and carry over 1. c ^1 \\ 11011_two \\ + 1010_two \\ 01_two Step 4: Add the next column, including the carry-over (0 + 0 + 1 = 1). c ^1 \\ 11011_two \\ + 1010_two \\ 101_two Step 5: Add the next column (1 + 1 = 10_two). Write down 0 and carry over 1. c ^1 ^1 \\ 11011_two \\ + 1010_two \\ 0101_two Step 6: Add the leftmost column, including the carry-over (1 + 1 = 10_two). Write down 0 and carry over 1. c ^1 ^1 ^1 \\ 11011_two \\ + 1010_two \\ 00101_two Step 7: Bring down the final carry-over. c ^1 ^1 ^1 \\ 11011_two \\ + 1010_two \\ 100101_two The sum is 100101_two. That's 2 down. 3 left today — send the next one.