Basic Electricity - Senior Secondary 3 - Number base

Number base

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TERM: 2ND TERM

WEEK TWO

Class: Senior Secondary School 3

Age: 17 years

Duration: 40 minutes of 5 periods each

Date:

Subject: BASIC ELECTRICITY

Topic: NUMBER BASE

SPECIFIC OBJECTIVES: At the end of the lesson, pupils should be able to

I.) Define number base

II.) Convert numbers between bases

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

INSTRUCTIONAL MATERIALS: Videos, loud speaker, textbook, pictures,

INSTRUCTIONAL PROCEDURES

PERIOD 1-2

PRESENTATION

TEACHER’S ACTIVITY

STUDENT’S

ACTIVITY

STEP 1

INTRODUCTION

The teacher explains the concept of number bases

Students listens attentively to the teacher                                                                          

STEP 2

EXPLANATION

Teacher guide students to concert numbers between any given base.

Students exhibit attentiveness and active engagement

STEP 3

NOTE TAKING

The teacher writes a summarized

note on the board

The students

copy the note in

their books

 

NOTE

NUMBER BASE

A number base, also known as a radix or a numeral system, is a way of representing numbers using a specific set of symbols and positional notation. The base indicates the number of unique symbols or digits used in the system. For example, in the decimal system (base 10), the symbols are 0 through 9, while in the binary system (base 2), the symbols are 0 and 1.

Converting numbers between bases

Converting numbers between different bases involves expressing the value of a number using the symbols of the new base while preserving its numerical value. Below is a general process for converting numbers to different bases:

  1. Decimal to Another Base:

   - Divide the decimal number by the new base.

   - Record the remainder as the rightmost digit.

   - Continue dividing the quotient by the new base until the quotient is zero, recording remainders from right to left.

   - The sequence of remainders gives the equivalent number in the new base.

  1. Another Base to Decimal:

   - Multiply each digit of the number by the corresponding power of the base, starting from the rightmost digit.

   - Add up the products to get the decimal equivalent.

  1. Conversion between Non-Decimal Bases:

   - Convert the number to decimal using the process mentioned above.

   - Convert the resulting decimal number to the desired base.

Exercise 1: Convert the decimal number 23 to binary

Solution

  1. Divide 23 by 2: 23 ÷ 2 = 11 remainder 1. Record 1.
  2. Divide 11 by 2: 11 ÷ 2 = 5 remainder 1. Record 1.
  3. Divide 5 by 2: 5 ÷ 2 = 2 remainder 1. Record 1.
  4. Divide 2 by 2: 2 ÷ 2 = 1 remainder 0. Record 0.
  5. Divide 1 by 2: 1 ÷ 2 = 0 remainder 1. Record 1.

   The remainders in reverse order give the binary equivalent: 10111.

Example 2:

EVALUATION: 1. Define number base

  1. Convert the decimal number 87 to binary.
  2. Convert the binary number 101011 to hexadecimal.

CLASSWORK: As in evaluation

CONCLUSION: The teacher commends the students positively