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Published byDaisy Carroll Modified over 6 years ago
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Lesson Objectives To understand how to add 4 and 8 bit binary numbers together To understand what is meant by the term “Overflow” ALL students will add 4 bit binary numbers successfully MOST students will add 8 bit binary numbers successfully SOME students will be able to discuss why overflow errors occur
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+ Adding Denary Numbers 1 2 5 4 6 3
What are the steps that we do to add 2 denary numbers together? 1 2 5 4 6 3 + 2 8 1 7 1 Carryover
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+ Adding Binary numbers 1 We do it in exactly the same way 1 1 1 1
1+1 = 2 In binary this is 10 We do it in exactly the same way 0+1 = 1 1+0 = 1 1 + 1 1 1 1 Carryover 0+0+1=1
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Always convert it back to denary to check the answer
1 5+ 6 11 + 1 1 1 1 Carryover
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Task 1: Have a go at the additions in your book.
Remember that in binary 0+0=0 1+0=1 0+1=1 1+1=2=10 When carrying over 1+1+1 = 3 = 11
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Overflow Errors Sometimes we run into problems.
Suppose we have eight bits in each location. When we add the binary equivalent of denary : There is no room for a carry so it is lost and we get the wrong answer, 39 instead of 295. When there isn’t enough room for a result, this is called overflow and produces an overflow error. Denary Binary 150 1 +145 = 39 (1) Carry Remember the maximum 8 bit binary number 255
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On the front of your booklets
Write down the definitions for Overflow Error
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How did you do? A/A* - 8/8 8 bit correct B – 6/7 8 bit correct
C – 4/5 8 bit correct D - 6/6 4 bit numbers
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Plenary
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In pairs Count up the binary numbers using your fingers to represent the digits. Test each other –
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