NUMBER SYSTEM :-
- Number system is defined as the magnitude of any quantity.
- We have four Number system techniques.
- Binary Number system
- Octal Number system
- Decimal Number system
- Hexa decimal Number system
- Base / Radix is Nothing but the value. Generally it's represents the number of digits / Symbols are used in the number system.
- Any number system starts { 0} and ends with { r-1} .
- "r " represents base / radix of a number system.
BINARY NUMBER SYSTEM :-
- Generally the base of Binary number system is 2.
i.e r=2
- So In Binary number system we are used only two digits.
i.e { 0, 1 }
OCTAL NUMBER SYSTEM :-
- Binary Number system
- Octal Number system
- Decimal Number system
- Hexa decimal Number system
- Base / Radix is Nothing but the value. Generally it's represents the number of digits / Symbols are used in the number system.
- Any number system starts { 0} and ends with { r-1} .
- "r " represents base / radix of a number system.
- Generally the base of Binary number system is 2.
i.e r=2
- So In Binary number system we are used only two digits.
i.e { 0, 1 }
- Generally the base of Octal number system is 8.
i.e r=8
- So In Binary number system we are used only eight digits.
i.e { 0, 1, 2, 3, 4, 5, 6, 7 }
DECIMAL NUMBER SYSTEM :-
- Generally the base of Octal number system is 8.
i.e r=8
- So In Binary number system we are used only eight digits.
i.e { 0, 1, 2, 3, 4, 5, 6, 7 }
- Generally the base of Decimal number system is 10.
i.e r=10
- So In Binary number system we are used only ten digits.
i.e { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
HEXA DECIMAL NUMBER SYSTEM :-
- Generally the base of Decimal number system is 10.
i.e r=10
- So In Binary number system we are used only ten digits.
i.e { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
- Generally the base of Hexa Decimal number system is 16.
i.e r=16
- So In Binary number system we are used only sixteen digits. After 9 we are used Alphabets {A, B, C, D, E, F / a, b, c, d, e, f }
i.e { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F }
NUMBER SYSTEM CONVERSIONS
DECIMAL TO ANY OTHER NUMBER SYSTEM
It having the algorithm for this one we can follow below steps
- Divide the decimal number to be converted by the value of base / radix
- Get the remainder from step-1 and kept right side and quotient kept down of the decimal value
- Divide the quotient of the previous divided by new base
- Repeat the step- 3 when the quotient is less than the new base number
- finally all the remainder come together form a number. It is a required number system of a number.
DECIMAL TO BINARY NUMBER SYSTEM : -
- Generally the base of Hexa Decimal number system is 16.
i.e r=16
- So In Binary number system we are used only sixteen digits. After 9 we are used Alphabets {A, B, C, D, E, F / a, b, c, d, e, f }
i.e { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F }
NUMBER SYSTEM CONVERSIONS
DECIMAL TO ANY OTHER NUMBER SYSTEM
It having the algorithm for this one we can follow below steps
- Divide the decimal number to be converted by the value of base / radix
- Get the remainder from step-1 and kept right side and quotient kept down of the decimal value
- Divide the quotient of the previous divided by new base
- Repeat the step- 3 when the quotient is less than the new base number
- finally all the remainder come together form a number. It is a required number system of a number.