Resources
Products
Tools
The Decimal to Binary Converter Tool is a specialized calculator designed to convert decimal numbers (base 10) to binary numbers (base 2). This tool simplifies the process of binary conversion by breaking down the steps needed to convert each digit accurately.
To use the converter, enter the decimal number (such as 8 or 16) into the tool and press the convert button. The tool then performs the conversion by dividing the decimal number by 2, noting the remainders, and arranging them in reverse order to form the binary number.
For example, if you input the decimal number 9, the tool will convert it into the equivalent binary number using this method.
Whether you are working with complex math problems or need a quick conversion for a technical task, the Decimal to Binary Converter Tool is a reliable solution. It helps represent numbers accurately across different systems, making it an essential tool for anyone dealing with decimal and binary conversions.
Also check out our similar tool: Binary to Decimal converter.
Decimal and binary numbers are two different number systems commonly used in computing and digital electronics.
Decimal numbers use ten symbols: digits 0-9. This is the most commonly used number system in everyday life.
Binary numbers use two symbols: digits 0 and 1. Each digit in a binary number is referred to as a bit. Binary numbers are the foundation of all digital systems.
To convert a decimal number to a binary number, you can use a decimal to binary converter. This process involves a few steps:
For example, to convert the decimal number 16 to binary:
Thus, the decimal number 16 is equal to the binary number 10000.
Decimal | Binary |
---|---|
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 |
33 | 100001 |
34 | 100010 |
35 | 100011 |
36 | 100100 |
37 | 100101 |
38 | 100110 |
39 | 100111 |
40 | 101000 |
41 | 101001 |
42 | 101010 |
43 | 101011 |
44 | 101100 |
45 | 101101 |
46 | 101110 |
47 | 101111 |
48 | 110000 |
49 | 110001 |
50 | 110010 |
51 | 110011 |
52 | 110100 |
53 | 110101 |
54 | 110110 |
55 | 110111 |
56 | 111000 |
57 | 111001 |
58 | 111010 |
59 | 111011 |
60 | 111100 |
61 | 111101 |
62 | 111110 |
63 | 111111 |
64 | 1000000 |
65 | 1000001 |
66 | 1000010 |
67 | 1000011 |
68 | 1000100 |
69 | 1000101 |
70 | 1000110 |
71 | 1000111 |
72 | 1001000 |
73 | 1001001 |
74 | 1001010 |
75 | 1001011 |
76 | 1001100 |
77 | 1001101 |
78 | 1001110 |
79 | 1001111 |
80 | 1010000 |
81 | 1010001 |
82 | 1010010 |
83 | 1010011 |
84 | 1010100 |
85 | 1010101 |
86 | 1010110 |
87 | 1010111 |
88 | 1011000 |
89 | 1011001 |
90 | 1011010 |
91 | 1011011 |
92 | 1011100 |
93 | 1011101 |
94 | 1011110 |
95 | 1011111 |
96 | 1100000 |
97 | 1100001 |
98 | 1100010 |
99 | 1100011 |
100 | 1100100 |