Lesson Objectives

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# Lesson Objectives - PowerPoint PPT Presentation

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

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## PowerPoint Slideshow about 'Lesson Objectives' - devlin

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Presentation Transcript
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

+

2

8

1

7

1

Carryover

What are the steps that we do to add 2 denary numbers together?

1+1 = 2

In binary this is 10

0+1 = 1

1+0 = 1

+

1

0

1

1

1

Carryover

0+0+1=1

We do it in exactly the same way

When carrying over

1+1+1 = 3 = 11

Remember that in binary

0+0=0

1+0=1

0+1=1

1+1=2=10

Overflow Errors
• Sometimes we run into problems.
• Suppose we have eight bits in each location.
• When we add the binary equivalent of denary 150 + 145:
• 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.

Remember the maximum 8 bit binary number 255

On the front of your booklets

Write down the definitions for Overflow Error

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

Plenary