# Decimal to Binary Converter

## How to convert decimal to binary

Conversion steps:

1. Divide the number by 2.
2. Get the integer quotient for the next iteration.
3. Get the remainder for the binary digit.
4. Repeat the steps until the quotient is equal to 0.

#### Example #1

Convert 4110 to binary:

Division by 2 Quotient Remainder Bit #
41/2 20 1 0
20/2 10 0 1
10/2 5 0 2
5/2 2 1 3
2/2 1 0 4
1/2 0 1 5

So 4110 = 1010012

## Decimal to binary conversion table

Decimal Number Binary Number Hex Number
0 0 0
1 1 1
2 10 2
3 11 3
4 100 4
5 101 5
6 110 6
7 111 7
8 1000 8
9 1001 9
10 1010 A
11 1011 B
12 1100 C
13 1101 D
14 1110 E
15 1111 F
16 10000 10
17 10001 11
18 10010 12
19 10011 13
20 10100 14
21 10101 15
22 10110 16
23 10111 17
24 11000 18
25 11001 19
26 11010 1A
27 11011 1B
28 11100 1C
29 11101 1D
30 11110 1E
31 11111 1F
32 100000 20
64 1000000 40
128 10000000 80
256 100000000 100

### Decimal System

The decimal numeral system is the most commonly used and the standard system in daily life. It uses the number 10 as its base (radix). Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

### Binary System

The binary numeral system uses the number 2 as its base (radix). As a base-2 numeral system, it consists of only two numbers: 0 and 1.