Computer Science GCES OCR
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Cpu Architecture Performance And Embedded Systems Ocr5 主题
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Primary And Secondary Storage Ocr6 主题
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Data Storage And Compression Ocr12 主题
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Units Of Data Storage Ocr
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Processing Binary Data Ocr
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Data Capacity And Calculating Capacity Requirements Ocr
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Converting Between Denary And Binary Ocr
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Binary Addition Ocr
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Converting Between Denary And Hexadecimal Ocr
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Converting Between Binary And Hexadecimal Ocr
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Binary Shifts Ocr
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Representing Characters Ocr
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Representing Images Ocr
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Representing Sound Ocr
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Compression Ocr
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Units Of Data Storage Ocr
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Networks And Topologies Ocr6 主题
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Wired And Wireless Networks Protocols And Layers Ocr6 主题
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Identifying And Preventing Threats To Computer Systems And Networks Ocr2 主题
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Operating Systems And Utility Software Ocr2 主题
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Ethical Legal Cultural And Environmental Impact Ocr2 主题
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Computational Thinking Searching And Sorting Algorithms Ocr3 主题
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Designing Creating And Refining Algorithms Ocr5 主题
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Programming Fundamentals And Data Types Ocr5 主题
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Additional Programming Techniques Ocr7 主题
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Defensive Design And Testing Ocr6 主题
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Boolean Logic Diagrams Ocr2 主题
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Programming Languages And Integrated Development Environments Ides Ocr3 主题
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The Exam Papers Ocr2 主题
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Structuring Your Responses Ocr3 主题
Binary Addition Ocr
Exam code:J277
Binary Addition
What is binary addition?
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Binary addition is the process of adding together two binary integers (up to and including 8 bits)
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To be successful there are 5 golden rules to apply:
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Binary Addition |
Binary Answer |
Working |
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|---|---|---|---|---|---|---|---|---|
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0 + 0 = |
0 |
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0 + 1 = |
1 |
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1 + 0 = |
1 |
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1 + 1 = |
10 |
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1 + 1 + 1 = |
11 |
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Like denary addition, start from the rightmost digit and move left
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Carrying over occurs when the sum of a column is greater than 1, passing the excess to the next left column
Example 1
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Add together the binary values 1001 and 0100
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8 |
4 |
2 |
1 |
+ |
|---|---|---|---|---|
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1 |
0 |
0 |
1 |
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0 |
1 |
0 |
0 |
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C |
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Starting from right to left, add the two binary values together applying the 5 golden rules
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If your answer has 2 digits, place the rightmost digit in the column and carry the remaining digit to the next column on the left
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In this example, start with 1+0, 1+0 = 1, so place a 1 in the column
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Repeat until all columns have a value
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The sum of adding together binary 1001 (9) and 0100 (4) is 1101 (13)
Examiner Tips and Tricks
Make sure any carried digits are clearly visible in your answer, there are marks available for working. Carries can be put above or below in the addition
Example 2
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Add together the binary values 00011001 and 10001001
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128 |
64 |
32 |
16 |
8 |
4 |
2 |
1 |
+ |
|---|---|---|---|---|---|---|---|---|
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0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
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1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
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C |
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Starting from right to left, add the two binary values together applying the 5 golden rules
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If your answer has 2 digits, place the rightmost digit in the column and carry the remaining digit to the next column on the left
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In this example, start with 1+1, 1+1 = 10, so place a 0 in the column and carry the 1 to the next column
Responses