CONVERSION OF A NUMBER FROM ONE BASE TO ANOTHER

CONVERSION OF A NUMBER FROM ONE BASE TO ANOTHER

steps

·        TO CONVERST A NUMBER FROM ONE BASE TO ANOTHER WE NEED TO CONVERT THAT NUMBER TO DECIMAL

·        AFTER CONVERTIN G THAT NUMBER TO DECIMAL WE CONVERT THAT NUMBER TO THE REQUIRED BASE

GENERAL EXAMPLE

CONVERSION OF A NUMBER OF BASE n TO DECCIMAL:

(abcdefg)_n=a*n⁶+b*n⁵+c*n⁴+d*n³+e*n²+f*n¹+g*n⁰

^Example:

Conversion of a decimal to base p:

 (abcdefg)₁₀=

so our number in ^base p is
(abcdefg)₁₀=(rem n….. rem5 rem4 rem3 rem2 rem1) _p

_example:

A TRICK FOR CONVERTING FROM POWERS OF TWO TO POWERS OF TWO:

2^3=8, 2^1=2,2^4 =16

1. ·       So a single  octal requires 3 bits to store its one digit
2. ·        hex requires 4
3.  so we divide a number given in base 2 in group of 3for octal and group of 4 for hexadecimal and convert it into decimal and write it simply

MORE EXAMPLES: