Number System
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NUMBER SYSTEM Binary, Octal, Decimal and Hexadecimal
description
Binary, Octal, Decimal and Hexadecimal
Transcript of Number System
NUMBER SYSTEMBinary, Octal, Decimal and Hexadecimal
NUMBER SYSTEM
Number System
Base Digits/Alphabets used
Binary 2 0,1
Octal 8 0,1,2,3,4,5,6,7
Decimal 10 0,1,2,3,4,5,6,7,8,9
Hexadecimal 16 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,FA = 10, B = 11, C = 12, D = 13, E = 14, F = 15
DECIMAL NUMBER SYSTEM
DECIMAL NUMBER SYSTEM
BINARY NUMBER SYSTEM
OCTAL NUMBER SYSTEM
HEXADECIMAL NUMBER SYSTEM
CONVERSION FROM BINARY, OCTAL AND HEXADECIMAL TO DECIMAL NUMBER
SYSTEM
CONVERSION OF OCTAL TO DECIMAL
CONVERSION OF HEXADECIMAL TO DECIMAL
CONVERSION FROM DECIMAL TO BINARY, OCTAL AND HEXADECIMAL
DECIMAL TO BINARY
DECIMAL TO OCTAL
DECIMAL TO HEXADECIMALThe conversion method of decimal to hexadecimal is the same as that of decimal to binary except that the base taken is 16 instead of 2.
For example, to convert 765.24510 to the hexadecimal equivalent, do the following:
Integer Part Fractional Part
16 765
16 47 - 13
16 2 - 15
0 - 2
0.245x 16
3.920x 16
14.720x 16
11.520
765.24510 = 2FD.3EB16
DIRECT CONVERSION – YOU CAN DO DIRECT CONVERSIONS AMONG BINARY, OCTAL AND HEXADECIMAL NUMBERS.
BINARY TO OCTAL
HEXADECIMAL TO BINARY – YOU CAN CONVERT A HEXADECIMAL NUMBER TO ITS BINARY EQUIVALENT AND VICE VERSA DIRECTLY, AS EACH HEXADECIMAL DIGIT IS EQUIVALENT TO FOUR BINARY DIGITS.
1010101100010010.011110002
BINARY TO HEXADECIMAL
