Perform the binary addition: 1010 + 0110

Question

ScanSolve AI Tutor · Accepted Answer

Here's the binary addition: Step 1: Align the numbers Align the binary numbers vertically, just like decimal addition. 1010 + 0110 ------ Step 2: Add the rightmost column (2⁰ position) 0 + 0 = 0. Write down 0. 1010 + 0110 ------ 0 Step 3: Add the second column (2¹ position) 1 + 1 = 10_2. Write down 0, carry over 1 to the next column. (1) <-- Carry 1010 + 0110 ------ 00 Step 4: Add the third column (2² position) 0 + 1 + carry(1) = 10_2. Write down 0, carry over 1 to the next column. (1)(1) <-- Carries 1010 + 0110 ------ 000 Step 5: Add the fourth column (2³ position) 1 + 0 + carry(1) = 10_2. Write down 0, carry over 1 to the next column. (1)(1)(1) <-- Carries 1010 + 0110 ------ 0000 Step 6: Add the final carry The last carry is 1. Write it down in the leftmost position. (1)(1)(1) <-- Carries 1010 + 0110 ------ 10000 The result of the binary addition 1010 + 0110 is: 10000

Perform the binary addition: 1010 + 0110

Answer

Step-by-step solution

Align the numbers

Add the rightmost column (2^0 position)

Add the second column (2^1 position)

Add the third column (2^2 position)

Add the fourth column (2^3 position)

Add the final carry

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