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Learn: Binary and Addition
OCR GCSE J277 Computer Science specification
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Welcome!I've reviewed your growth areas and created this lesson to help you strengthen your understanding of binary numbers and how to perform binary addition.
What is Binary?Binary is a number system that uses only two digits: 0 and 1. Computers use binary because it matches the on/off states of electronic components.
Why Use Binary?Binary is essential for computers because it allows data and instructions to be represented using simple electrical signals. This system is reliable and efficient for processing information.
Quick check: Why do computers use binary?
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How Binary Addition WorksBinary addition follows similar rules to decimal addition, but uses only the digits 0 and 1. If the sum exceeds 1, it causes a carry to the next column.
Binary Addition RulesHere are the rules for binary addition:0 + 0 = 00 + 1 = 11 + 0 = 11 + 1 = 10 (carry 1)
Which statements about binary addition are correct? (Select all that apply)
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Example of Binary AdditionLet's add two binary numbers: 1010 and 0011.Step-by-step:Start from the rightmost column.Add digits and apply carry when needed.Continue to the leftmost column.Result: 1010 + 0011 = 1101.
Match the items on the left with their correct pairs on the right
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What is Overflow?Overflow happens in binary addition when the sum exceeds the number of bits available to store it. For example, adding 1111 and 0001 in 4 bits causes overflow.
What happens in binary addition when overflow occurs?
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Binary addition causes {{blank0}} when the sum exceeds the {{blank1}} of bits available.
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Review Time!You've learned about binary numbers, binary addition, and overflow. Now let's test your understanding with a few questions.
Match the items on the left with their correct pairs on the right
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Which of the following statements are true about binary addition? (Select all that apply)
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Match the items on the left with their correct pairs on the right
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