# 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

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

## 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

## 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

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