Binary Number System – Addition and Subtraction of Binary Numbers Primary 5 (Basic 5) Term 3 Week 9 Mathematics
MATHEMATICS
THIRD TERM
WEEK 9
PRIMARY 6
THEME – NUMBERS AND NUMERATION
PREVIOUS LESSON – Binary Number System – Conversion of Base 2 to Base 10 | Conversion of Base 10 to Base 2 Primary 5 (Basic 5) Term 3 Week 8 Mathematics
TOPIC – BINARY SYSTEM
LEARNING AREA
1. Introduction
2. Addition of Binary Numbers
3. Subtraction of Binary Numbers
4. Lesson Evaluation and Weekly Assessment (Test)
LEARNING OBJECTIVES
By the end of the lesson, most of the pupils should have attained the following objectives –
1. Perform Basic Addition and Subtraction of Binary Number.
2. Solve Quantitative Reasoning.
ENTRY BEHAVIOURS
The pupils can perform basic mathematics operation such as addition and subtraction.
INSTRUCTIONAL MATERIALS
The teacher will teach the lesson with the aid of chart showing relationships between binary (base 2) and decimal (base 10).
METHOD OF TEACHING
Choose a suitable and appropriate methods for the lessons.
Note – Irrespective of choosing methods of teaching, always introduce an activities that will arouse pupil’s interest or lead them to the lessons.
REFERENCE MATERIALS
1. Scheme of Work
2. 9 – Years Basic Education Curriculum
3. Course Book
4. All Relevant Material
5. Online Information
CONTENT OF THE LESSON
LESSON 1 – ADDITION OF BINARY NUMBERS
ACTIVITY 1 – INTRODUCTION
Addition and subtraction are much like your normal everyday addition (decimal addition), except that it carries on a value of 2 instead of a value of 10.
For example,
8 + 2 = 10 (decimal number), corresponding value in binary is 1₂ + 1₂ = 10.
WORKING EXAMPLE
¹1 ¹0 ¹1 ¹ 1 1₂
+ 1 1 1 1₂
_____________
1 0 0 1 1 0₂
Therefore, 10111₂ + 1111₂ = 100110₂
ACTIVITY 2 – CLASS EXERCISE
1. 11011₂ + 10101₂
2. 1111₂ + 110011₂
3. 11011₂ + 10101₂
4. 11011₂ + 11010₂
LESSON 2 – REVISION OF LESSON 1
Revision with more working examples and exercises.
LESSON 3 – SUBSTATION OF BINARY NUMBER
WORKING EXAMPLE
10111₂ – 1111₂
1º 0² 1 1 1₂
– 1 1 1 1₂
_____________
1 0 0 0₂
Therefore, 10111₂ – 1111₂ = 1000₂
Note – 1 borrow from the next digit is equal to 2 just as in decimal, the one you borrow from the next digit is equal to 10.
ACTIVITY 2 – CLASS EXERCISE
1. 11011₂ – 10100₂
2. 1111₂ – 110011₂
3. 11011₂ – 10101₂
4. 11011₂ – 11010₂
ANSWER KEY
1. 11011₂ – 10100₂
1 1 0 1 1₂
– 1 0 1 0 0₂
_____________
1 1 1₂
2. 1111₂ – 1011₂
1 1 1 1₂
– 1 0 1 1₂
_____________
1 0 0₂
3. 11011₂ – 10101₂
1 1 0 1 1₂
– 1 0 1 0 1₂
_____________
1 1 0₂
4. 11011₂ – 11010₂
11011₂
– 11010₂
_____________
1₂
LESSON 4 – REVISION OF LESSON 3
Revision with more working examples and exercises.
LESSON 5 – REVISION, LESSON EVALUATION AND WEEKLY ASSESSMENT (TEST)
PRESENTATION
To deliver the lesson, the teacher adopts the following steps:
1. To introduce the lesson, the teacher revises the previous lesson. Based on this, he/she asks the pupils some questions;
2. Teacher organizes pupils in groups or pairs depending on the size of the class.
3. Teacher uses addition and subtraction of decimal numbers to introduce the lesson – addition and subtraction of binary numbers.
Pupil’s Activities – Pay attention to the lesson introduction.
4. Teacher uses the basic conversion between binary and decimal numbers to lead the groups or pairs to add and subtract of binary numbers.
Pupil’s Activities – Follow the teacher’s lead to add and subtract, binary numbers.
5. Guides pupils to solve quantitative aptitude involving binary numbers system.
Pupil’s Activities – Solve quantitative aptitude involving binary number system.
6. Teacher summarizes each of the lesson on the board with appropriate lesson evaluation.
Pupil’s Activities – Participate actively in the summary of the lesson by responding correctly to the questions and write as instructed.
CONCLUSION
To conclude the lesson for the week, the teacher revises the entire lesson and links it to the following week’s lesson.
Next Lesson –
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