Mastering Binary Subtraction

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Questions and Answers

What are the rules for binary subtraction?

The rules for binary subtraction are: 0 - 0 = 0, 0 - 1 = 1 (with a borrow of 1), 1 - 0 = 1, and 1 - 1 = 0.

How do you subtract binary numbers?

To subtract binary numbers, you start from the rightmost column and subtract the corresponding digits. If borrowing is needed, you borrow from the next column.

What is the result of subtracting 101 from 1010?

The result of subtracting 101 from 1010 is 101.

What is the value of the 10's column after the borrowing step?

<p>The value of the 10's column after the borrowing step is 0.</p> Signup and view all the answers

What is the final result of the binary subtraction?

<p>The final result of the binary subtraction is 1.</p> Signup and view all the answers

Flashcards

Binary Subtraction Rules

0 - 0 = 0, 0 - 1 = 1 (borrow 1), 1 - 0 = 1, and 1 - 1 = 0.

How to Subtract Binaries

Start from the right, subtract digits in each column, borrow from the next column if needed.

1010 - 101 Result

1010 - 101 equals 101.

Value After Borrowing

After borrowing, the 10's column is 0.

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Final result

The final result of the binary subtraction.

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Study Notes

Binary Subtraction Rules

Binary subtraction follows the same rules as decimal subtraction, with the exception that only 0s and 1s are used.
When subtracting 1 from 0, borrow 1 from the next column to the left.
If the result of the subtraction is 1, no borrow is needed.
The borrowing step is necessary to ensure that the result is accurate.

Binary Subtraction Example

To subtract 101 from 1010, start by subtracting each column from right to left.
In the 1's column, 1 (minuend) - 1 (subtrahend) = 0, no borrow needed.
In the 2's column, 0 (minuend) - 0 (subtrahend) = 0, no borrow needed.
In the 4's column, 1 (minuend) - 1 (subtrahend) = 0, borrow 1 from the 8's column.
In the 8's column, 0 (minuend) - 0 (subtrahend) = 1, but since we borrowed 1, the result is 0.