Adding two 8-bit binary integers in OCR GCSE (J277): A Tutorial

💡 Adding two 8-bit binary integers follows specific rules: 0+0=0, 0+1=1, 1+1=0 with a carry of 1.

🔢 The denary numbers 2 and 3 cannot be represented in binary.

👨‍🎓 These rules are essential for adding two 8-bit binary numbers at a GCSE level.

📚 Binary numbers are represented on a number line, where each column is double the value of the previous column.

➕ Adding two binary numbers follows the four rules of binary addition.

💻 In this example, we add the binary numbers 85 and 170 together.

✨ Adding two 8-bit binary integers involves adding up each column that has a 1 in it.

🔢 The process includes carrying over 1 to the next column and writing down the carry in the exam.

🧮 By following this method, the result of adding 85 and 170 in binary is 255.

✨ Adding two 8-bit binary integers involves summing up the columns with 1s.

📝 Example: 0 and 1 is 1, 1 and 0 is 1, 0 and 1 is 1, 1 and 1 is 0 with a carry of 1.

🔢 Example calculation: 59 + 124 = 183 in binary.

Adding two 8-bit binary integers

Example with numbers 95 and 222

Overflow when adding binary numbers

📚 Adding two 8-bit binary integers can result in overflow if the sum exceeds 255.

⚡️ The maximum number that can be stored in an 8-bit binary weighting line is 255.

🔢 To store a sum greater than 255, an extra column is needed with a weighting of 256.

🎥 This video is about adding two 8-bit binary integers in OCR GCSE.

➕ The video explains the process of adding two 8-bit binary numbers step by step.

💡 The presenter provides helpful tips and strategies to simplify the addition process.