## Decimal to Binary Converter

2
16
10
What is a Binary numeral system?

In binary numeral systems, the number 2 serves as the base (radix). Using this system, there are only two numbers: 0 and 1.
In the modern world, the binary system is the language of electronics and computers, having been used in ancient Egypt, China, and India for a variety of purposes. In order to detect an electric signal's off (0) or on (1) state, this is the best system. Additionally, it forms the basis for binary code, which enables computers to process data.
In a binary number, each digit is raised by two. This is a positional system; therefore, all digits in a binary number are rounded up to the rightmost power of two. Each binary digit corresponds to one bit.

What is a Decimal System?

There are two main systems used in daily life: the decimal and the binary systems. The decimal and the binary systems. Decimal and binary. Both systems work from a base of 10 (radix). As such, it has ten symbols: 0 to 9. These are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

How to Convert Decimal numbers to Binary numbers?

To convert a Decimal number to Binary number divide the number by 2 until you get a quotient as zero, the remainder you get is a Binary number.
The other method which is the easiest is to use our decimal to binary converter tool. To use this tool follow the steps below:

1. First, enter the decimal number in the input box.
2. Click on the Convert Button to start the conversion from decimal to a binary value.
3. The tool will then give you the hex value and binary value of the given decimal number in the two display boxes respectively.
4. In case you want to group the digits, you can select the Digit grouping checkbox.

#### Decimal to binary conversion table

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

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