JSS3 First Term Mathematics Lesson Note – Number Bases

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WEEK 1

TOPIC: NUMBER BASES

CONTENT:

• Concept and types of number base.
• Binary numbers.
• Conversion in number bases: Denary to Binary, Binary to Denary, Denary to other bases, One base to another, etc.
• Arithmetical operation in Binary System: Addition, Subtraction, Multiplication and Division.
• Bicimal numbers: Conversion, Addition and Subtraction.
• Equation in number bases.

CONCEPT AND TYPES OF NUMBER BASES

Number Base is a system of counting natural numbers in bundles. Some languages have their own unique method or way of counting numbers while others have same method. For instance, numbers are counted in bundle of ten digits called base ten or denary.  The digits involved in English natural numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Some unique number bases include: Base 2 ( Binary), Base 8 (Octal), Base 10 (Denary or Decimal), Base 16 (Hexadecimal),… there are other bases such as base 3, base 4, base 5, base 6, etc. The bases of number systems are usually written as a subscript either in word or figure. Examples: 111011₂ or 111011_two, 5734₈ or 5734_eight, 781₁₀ or 781_ten, etc.

NOTE: Numbers in base ten can be written without the base indicated. Therefore any number base that is written without base indicated should be considered as denary or base ten numbers.

CLASS ACTIVITY:

Teacher should ask the students to count in their mother tongues.

BINARY NUMBERS.

Binary numbers are system of counting numbers in base two. In binary system, the greatest digit is 1 and the least or lowest is 0. Hence, the two digits available in binary numbers are 1 and 0. Binary numbers is the most important number bases because of its usage in computer. Examples of binary numbers are 11111₂, 1000001_two, 0101₂, etc.

EXPRESSING BINARY AS SUM OF MULTIPLES

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