### Relationship between decimal binary octal and hexadecimal number systems | Conversion table

The earlier posts covered the detailed procedure step by step for converting a given number from one number system to another with exams.

The below table gives the equivalent numbers in the four number systems that we will be using in basic electronics.

This conversion table is nothing but a simple cheat sheet for performing mathematical and logical operations on the various number systems that we came across earlier, similar to the multiplication tables (from 1 to 20) that we asked to memorize in lower grade math class in order to perform complex multiplication and division operations faster.

This table will act as a simple speed up bonus to perform the mathematical operations among the number systems faster.

Decimal
Base 10
Binary
Base 2
Octal
Base 8
Base 16
0 0 0 0
1 1 1 1
2 10 2 2
3 11 3 3
4 100 4 4
5 101 5 5
6 110 6 6
7 111 7 7
8 1000 10 8
9 1001 11 9
10 1010 12 A
11 1011 13 B
12 1100 14 C
13 1101 15 D
14 1110 16 E
15 1111 17 F
16 10000 20 10