Computer Science GCES AQA
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Representing Algorithms Aqa4 主题
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Efficiency Of Algorithms Aqa1 主题
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Searching Algorithms Aqa3 主题
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Sorting Algorithms Aqa3 主题
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Data Types Aqa1 主题
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Programming Concepts Aqa5 主题
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Arithmetic Relational And Boolean Operations Aqa1 主题
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Data Structures Aqa3 主题
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String Manipulation Aqa1 主题
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Random Number Generation Aqa1 主题
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Structured Programming Aqa2 主题
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Robust And Secure Programming Aqa4 主题
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Number Bases Aqa2 主题
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Converting Between Number Bases Aqa3 主题
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Units Of Information Aqa9 主题
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Hardware And Software Aqa4 主题
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Boolean Logic Aqa3 主题
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Programming Languages And Translators Aqa2 主题
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Cpu Architecture Performance And Embedded Systems Aqa4 主题
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Memory Aqa2 主题
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Secondary Storage Aqa3 主题
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Fundamentals Of Computer Networks Aqa8 主题
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Fundamentals Of Cyber Security Aqa1 主题
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Methods Of Preventing Cyber Security Threats Aqa1 主题
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Relational Databases Aqa2 主题
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Ethical Legal And Environmental Impacts Aqa2 主题
Binary Addition Aqa
Exam code:8525
Binary Addition
What is binary addition?
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Binary addition is the process of adding together up to three 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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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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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 10000100
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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
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Repeat until all columns have a value
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The sum of adding together binary 00011001 (25) and 10001001 (137) is 10100010 (162)
Example 3
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Add together the binary values 00011011, 00010110 and 00100010
Responses