What is the result of adding the binary numbers 1010&1101

Question

ScanSolve AI Tutor · Accepted Answer

To add the binary numbers 1010_2 and 1101_2, we perform column-wise addition, carrying over any 1+1 sums. Step 1: Align the binary numbers. 1010 + 1101 ------ Step 2: Add the rightmost column (least significant bit). 0 + 1 = 1. Write down 1. Carry 0. 1010 + 1101 ------ 1 Step 3: Add the second column from the right. 1 + 0 + carry (0) = 1. Write down 1. Carry 0. 1010 + 1101 ------ 11 Step 4: Add the third column from the right. 0 + 1 + carry (0) = 1. Write down 1. Carry 0. 1010 + 1101 ------ 111 Step 5: Add the leftmost column (most significant bit). 1 + 1 + carry (0) = 10_2. Write down 0. Carry 1 to the next position. 1010 + 1101 ------ 0111 (with a carry of 1 to the left) Step 6: Bring down the final carry. The carry of 1 from the previous step becomes the new leftmost bit. 1010 + 1101 ------ 10111 The result of adding the binary numbers 1010_2 and 1101_2 is 10111_2. 1010_2 + 1101_2 = 10111_2 The final answer is 10111_2.

What is the result of adding the binary numbers 1010&1101

Answer

Step-by-step solution

Align the binary numbers.

Add the rightmost column (least significant bit).

Add the second column from the right.

Add the third column from the right.

Add the leftmost column (most significant bit).

Bring down the final carry.

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