1. How to convert decimal to binary ?

The general formula to convert decimal to any number system,

Till number > 0

   Find number % base.

   Write down the result.

   Divide the number by base. i.e. number / base

Rewrite all remainders in reverse order.

Convert (15)10 to binary

Here base value = 2.

2|15
 ----
2|7    - 1
 ----
2|3    - 1
 ----
2|1    - 1

(1111)2

Convert (20)10 to binary

Here base value = 2.

2|20
 ----
2|10   - 0
 ----
2|5    - 0
 ----
2|2    - 1
 ----
  1   -  0

(10100)2




2. How to convert decimal to octal ?

Convert (34)10 to octal

Here base value = 8.

8|34
 ----
8|4    - 2

(42)8

Convert (456)10 to octal

8|456
 ----
8|57    - 0
 ----
8|7     - 1

(710)8




3. How to convert decimal to hexadecimal ?

Convert (255)10 to hexadecimal

Here base value = 16.

16|255
  ----
16|15    -  15

(15)(15)
(ff)16

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