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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

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lesson objectives
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
adding denary numbers
Adding Denary Numbers

+

2

8

1

7

1

Carryover

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

adding binary numbers
Adding Binary numbers

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

task 1
Task 1:

When carrying over

1+1+1 = 3 = 11

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

overflow errors
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
On the front of your booklets

Write down the definitions for Overflow Error

how did you do
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
Plenary

https://www.youtube.com/watch?v=OCYZTg3jahU

in pairs
In pairs

Count up the binary numbers using your fingers to represent the digits.

Test each other –