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.
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Answer
10000two
This is a binary addition problem.
Step 1: Align the numbers vertically, just like in decimal addition. 1011two
Step 2: Add the rightmost column (the 2⁰ place). 1 + 1 = 2. In binary, 2 is represented as 10. Write down 0 and carry over 1. ¹ 1011two
0two
Step 3: Add the next column (the 2¹ place), including the carry-over. 1 (carry) + 1 + 0 = 2. Again, 2 in binary is 10. Write down 0 and carry over 1. ¹¹ 1011two
00two
Step 4: Add the next column (the 2² place), including the carry-over. 1 (carry) + 0 + 1 = 2. Write down 0 and carry over 1. ¹¹¹ 1011two
000two
Step 5: Add the leftmost column (the 2³ place), including the carry-over. 1 (carry) + 1 = 2. Write down 0 and carry over 1. ¹¹¹¹ 1011two
0000two
Step 6: Bring down the final carry-over. ¹¹¹¹ 1011two
10000two
The answer is 10000two.
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This is a binary addition problem. Step 1: Align the numbers vertically, just like in decimal addition.
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.