1011two +101two=

Question

1011two +101two=

ScanSolve AI Tutor · Accepted Answer

This is a binary addition problem. Step 1: Align the numbers vertically, just like in decimal addition. 1011two + 101two ------- 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 + 101two ------- 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 + 101two ------- 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 + 101two ------- 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 + 101two ------- 0000two Step 6: Bring down the final carry-over. ¹¹¹¹ 1011two + 101two ------- 10000two The answer is 10000two.

1011two +101two=

Answer

Step-by-step solution

Align the numbers vertically, just like in decimal addition.

Add the rightmost column (the 2⁰ place).

Add the next column (the 2¹ place), including the carry-over.

Add the next column (the 2² place), including the carry-over.

Add the leftmost column (the 2³ place), including the carry-over.

Bring down the final carry-over.

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