Lesson Notes By Weeks and Term - Senior Secondary 3

Basic operations with binary numbers

Term: 2nd Term

Week: 5

Class: Senior Secondary School 3

Age: 17 years

Duration: 40 minutes of 2 periods each

Date:       

Subject:      Computer studies and ICT

Topic:-       Basic operations with binary numbers

SPECIFIC OBJECTIVES:

At the end of the lesson, pupils should be able to

  1. Perform arithmetic operations on binary numbers

INSTRUCTIONAL TECHNIQUES: Identification, explanation, questions and answers, demonstration, videos from source

INSTRUCTIONAL MATERIALS: Videos, loud speaker, pictures, Data Processing for senior Secondary Education by Hiit Plc, WAPB Computer Studies for Senior Secondary III by Adekunle et al, On-line Materials.

INSTRUCTIONAL PROCEDURES

PERIOD 1-2

PRESENTATION

TEACHER’S ACTIVITY

STUDENT’S ACTIVITY

STEP 1

INTRODUCTION

The teacher reviews the previous lesson on octal and hexadecimal number bases 

Students pay attention

STEP 2

EXPLANATION

He explains the rules for adding and subtracting binary numbers and solves some examples

 

Students pay attention and participates

STEP 3

DEMONSTRATION

He then explains the rules of multiplying and dividing binary numbers and solves some examples

Students pay attention and participate

STEP 4

NOTE TAKING

The teacher writes a summarized note on the board

The students copy the note in their books

 

NOTE

BASIC OPERATIONS ON BINARY NUMBERS

ADDITION OF BINARY NUMBERS

We can add binary numbers in the same way as we separate with ordinary base 10 numbers.

The identities to remember are:-

0 + 0 = 0,

0 + 1 = 1,

1 + 0 = 1,

1 + 1 = 10,

1 + 1 + 1 = 11,

1 + 1 + 1 + 1 = 100

EXAMPLES
10010

+  111

 11001

 

        110

+ 11100

 100010

 

SUBTRACTION OF BINARY NUMBERS

The identities to remember on subtraction are:

0 – 0 = 0,

1 – 0 = 1,

10 – 1 = 1,

11 – 1 = 10,

100 – 1 = 11

 

EXAMPLES
   110000

−   10100

     11100

 

    11000

 − 10001

         111

 

MULTIPLICATION AND DIVISION OF BINARY NUMBERS

In multiplication,

0 x 0 = 0,

1 x 0 = 0,

1 x 1 = 1.

When there is long multiplication of binary numbers, the principle of addition can be used to derive the answer. Under division, the principle of subtraction can be used.

 

EXAMPLES
      110

×    110

       000

     110

 + 110

100100

 

 

111100

    101     = 110

 

 

EVALUATION:    1. Explain the basic rules for these operations in binary

  1. addition
  2. subtraction
  3. multiplication
  4. division

                             2i. Solve the following exercises

a. 101 + 11 =
b. 111 + 111 =
                             c. 1010 + 1010 =
                             d. 11101 + 1010 =
                             e. 11111 + 11111 =

                             ii.

  1. 111-101 =
  2. 110-11=
  3. 1100 – 101 =

                             iii.

  1. 100011 x 101 =
  2. 10011 x 110 =
  3. 11111 x 11 =

                             iv.

  1. 10010 ÷ 10 =
  2. 11100 ÷ 10 =
  3. 101000 ÷ 101 =

 

CLASSWORK: As in evaluation

CONCLUSION: The teacher commends the students positively