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Binary subtraction of 101101 - 001011 = ?

a) 100010
b) 010110
c) 110101
d) 101100

User Littleadv
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1 Answer

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Final answer:

When subtracting binary numbers, follow the same rules as subtracting decimal numbers. The result of 101101 - 001011 is 100010.

Step-by-step explanation:

To subtract binary numbers, follow the same rules as subtracting decimal numbers. When subtracting the rightmost bits, if the minuend bit is smaller than the subtrahend bit, borrow 1 from the next higher bit. Then, subtract the corresponding bits. Here's the step-by-step process for the given problem:

1. Start with the leftmost bits. 1-0=1.

2. Moving to the next bits, 1-1=0.

3. For the third bit, borrow 1 from the next higher bit. So, the next higher bit becomes 1-1=0.

4. Now, subtract the corresponding bits, 1-1=0.

5. Finally, subtract the remaining bits, 0-0=0.

The result of 101101 - 001011 is 100010, so the correct answer is a) 100010.

User Thomas Sandberg
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