Tech Talks: Conversion Techniques

Number System Conversions:

#There are three types of conversion:

Decimal Number System to Other Base
[for example: Decimal Number System to Binary Number System]
Other Base to Decimal Number System
[for example: Binary Number System to Decimal Number System]
Other Base to Other Base
[for example: Binary Number System to Hexadecimal Number System]

Decimal Number System to Other Base:

To convert Number system from Decimal Number System to Any Other Base is quite easy; you have to follow just two steps:
A) Divide the Number (Decimal Number) by the base of target base system (in which you want to convert the number: Binary (2), octal (8) and Hexadecimal (16)).
B) Write the remainder from step 1 as a Least Signification Bit (LSB) to Step last as a Most Significant Bit (MSB).

Decimal to Binary Conversion	Result
Decimal Number is : (12345)10	Binary Number is (11000000111001)2

Decimal to Octal Conversion	Result
Decimal Number is : (12345)10	Octal Number is (30071)8

Decimal to Hexadecimal Conversion	Result
Example 1 Decimal Number is : (12345)10	Hexadecimal Number is (3039)16
Example 2 Decimal Number is : (725)10	Hexadecimal Number is (2D5)16 Convert 10, 11, 12, 13, 14, 15 to its equivalent... A, B, C, D, E, F

Other Base System to Decimal Number Base

To convert Number System from Any Other Base System to Decimal Number System, you have to follow just three steps:
A) Determine the base value of source Number System (that you want to convert), and also determine the position of digits from LSB (first digit’s position – 0, second digit’s position – 1 and so on).
B) Multiply each digit with its corresponding multiplication of position value and Base of Source Number System’s Base.
C) Add the resulted value in step-B.

Explanation regarding examples:
Below given exams contains the following rows:
A) Row 1 contains the DIGITs of number (that is going to be converted).
B) Row 2 contains the POSITION of each digit in the number system.
C) Row 3 contains the multiplication: DIGIT* BASE^POSITION.
D) Row 4 contains the calculated result of step C.
E) And then add each value of step D, resulted value is the Decimal Number.