Lesson 3 Investigates how instructions and data are represented in computers and exploit them in arithmetic and logic operations
Octal number system
-Base/Radix - 8 -Digits used - 0, 1, 2, 3, 4, 5, 6, 7
Conversions
-Decimal numbers covert as Binary.Octal and Hexadecimal. -Binary numbers convert as Octal and Hexadecimal. -Octal numbers convert as Decimal,Binary and Hexadecimal. -Hexadecimal numbers convert as Decimal,Binary and Octal.
Decimal number system
-Each number system is made of a unit, number and Base and/Radix. Unit -A single object Eg; a mango, a rupee, a day Number -A symbol that represents a unit or quantity. Base/Radix -A number of symbols used in a number system -The base of any number system is indicated in decimal numbers. Base/Radix - 10 Digits used - 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Binary number system
-The number system used by computers; it has only two numbers, 0 and 1, called binary digits, or bits. -Base/Radix - 2 -Digits used - 0, 1
Hexa-Decimal number system
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 A B C D E F
Most Significant Bit (MSB) and Least Significant Bit (LSB)
1001 = (MSB) 1 (LSB) 1 011.101 = (MSB) 1 (LSB) 1
Most Significant Digit (MSD) and Least Significant Digit (LSD)
329 = (MSD) 3 (LSD) 9 58.32 = (MSD) 5 (LSD) 2
Where was the concept of the number system used
Abacus
Number System
Group of numbers that the computer can understand.
Integers
The set of whole numbers and their opposites. -3,-2,-1,0,1,2,3,.....
