JSS1 First Term Mathematics Lesson Note – Counting in Base Two

The content is just an excerpt from the complete note for JSS1 First Term Mathematics Lesson Note – Counting in Base Two. Check below to download the complete DOCUMENT

WEEK 5

TOPIC: Counting in Base Two

CONTENTS:

• Counting in group of twos.
• Conversion from base 10 numerals to binary numbers.
• Conversion from binary to decimal

NUMBER BASES

In Mathematics, a base or radix is the number of different digits or combination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system. Because “dec” means 10, it uses the 10 digits from 0 to 9. Most people think that we most often use base 10 because we have 10 fingers.

A base can be any whole number bigger than 0 (if it was 0, then there would be no digits). The base of a number may be written next to the number: for instance, 23 8   {\displaystyle 23_{8}\ } 23₈ means 23 in base 8 (which is equal to 19 in base 10).

 

NUMBER OF BASE	DIGITS USED	NAMES
2	0, 1	Binary
3	0, 1, 2	Ternary
4	0, 1, 2, 3	Quaternary
5	0, 1, 2, 3, 4	Quinary
6	0, 1, 2, 3, 4, 5	Senary
7	0, 1, 2, 3, 4, 5, 6	Septenary
8	0, 1, 2, 3, 4, 5, 6, 7	Octal
9	0, 1, 2, 3, 4, 5, 6, 7, 8	Nonary
10	0, 1, 2, 3, 4, 5, 6, 7, 8, 9	Decimal/ denary
11	0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10	Undecimal
12	0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B	Duodecimal
16	0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F	Hexadecimal
20	0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I, J	Vigesimal

The popularity of the base 2, 8 and 16 is because of its use in modern technology.

To gain full access to the note: DOWNLOAD FILE