Decimal to Binary

You can convert decimal to binary numbers by following the below simple steps.

1. Enter the decimal values in the left box or upload the file containing binary values from your device.
2. Press the “Convert” button to initiate the conversion.
3. Decimal numbers will be converted to binaries, and results will be displayed instantly.
4. You can either copy the binary values or click the “Download” button to save the file on your device.

You don’t need to install any software or plugin to access the decimal to binary converter online. It is a web-based utility that can be easily accessed online with a stable internet connection.

Easy to Access

You don’t need to install any software or plugin to access the decimal to binary converter online. It is a web-based utility that can be easily accessed online with a stable internet connection.

No Registration

You don’t need to go through any registration process to use the dec to binary converter. Using this utility, you can convert decimal to binary numbers as many times as you want for free.

Fast Conversion

The decimal to binary converter offered by Duplichecker has an easy-to-use interface that helps you convert decimal numbers to binary instantly. Even you don’t have to wait for the conversion anymore.

Accurate

The dec to binary converter provides accurate results. You don’t need to worry about the errors, as the utility generates error-free results in a few seconds.

Compatibility

The online decimal to binary converter perfectly works on all operating systems. Whether you have an iOS, Android, Windows, Mac, or Linux device, you can easily use this online utility without facing any hassle.

Method 1: By Converting Decimal Integers to Binary

The conversion of decimal to binary is defined in the following steps.

1. First of all, divide the integer by 2.
2. Note the remainder value and the quotient value.
3. Repeat this process until the quotient comes down to zero.
4. Note down the remainder values in a backward sequence.
5. That’s the binary value for your required decimal number.

For instance, let’s convert integer 14 into binary.

14/2 = 7 (remainder value = 0)

7/2 = 3 (remainder value = 1)

3/2 = 1 (remainder value = 1)

1/2 = 0 (remainder value = 1)

Hence, the binary value for integer 14 is 1110.

Method 2: By Converting Decimal Fractions to Binary

Let's look at how decimal fractions can be converted to binary.

1. Firstly, multiply the decimal fraction with 2.
2. Note down the result of multiplication while distinctly writing the integer and decimal parts.
3. Multiply the fraction resulting from multiplication by 2 until the fraction part is zero.
4. List down the integer value results from each multiplication and write down the binary string starting with a decimal point.

For instance, let’s convert the fraction 0.125 into binary.

0.125 * 2 = 0 + 0.25

0.25 * 2 = 0 + 0.5

0.5 * 2 = 1 + 0

Hence, the binary value for the fraction 0.125 is 0.001.

Decimal Number System

The decimal number system has a base 10 and consists of 10 values, which include 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is a widely used number system in computer systems. The values in the decimal number system have distinct positions. Each digit has ten times more important than the next value.

The digits we use in our everyday lives are often decimal numbers, so whenever we calculate something, we prefer decimal numbers. The reason is they are accurate because if we make calculations in real numbers, we’ll never be able to get the desired result.

Binary Number System

The binary number system has base 2 and consists of only 2 values that are 0 and 1. Every digit in this number system is referred to as a bit. In computers, all the data we input is stored in the form of numbers, not letters or ASCII characters. Those numbers are known as binary numbers, which is one of the four number systems.

The binary numbers have been given a specific name where one bit is equal to one binary digit, four binary digits are called nibbles, eight figures are known as bytes, sixteen are known as words, thirty-two and sixty-four are known as double words and quadword.

Computers can also process other number systems, but since all programming is based on the binary number system, it becomes necessary to convert other numbers to this format. Also, the current supplied to the computer is taken as one and zero, where 0 represents off, and 1 represents on.

Decimal to Binary Conversion

Converting decimal to binary manually involves several intricacies and is very time-consuming. You need to follow various steps, need a decimal to binary table, and formulas to calculate values precisely to get accurate results.

You need to be careful that you don’t accidentally mix the two sets of numbers. For example, if we write “10” digit on a page, it can be taken as ten in decimal but is actually a binary number one and zero. This shows how difficult it is to convert decimal numbers to binary manually.

On the other hand, using an online decimal to binary converter you can quickly convert decimal numbers into binary numbers without any manual effort. All you have to do is enter decimal values, and press Convert to generate results quickly. In this online method, you will not only get 100% accurate results within just a few clicks but also save your time and effort.

Why Convert Decimal Numbers to Binary?

The computers only understand the language of binary numbers, 0 and 1; therefore, it becomes essential to convert decimal numbers to binary.

What is 135 as a Binary Number?

The decimal value, 135, is converted into the binary number 10000111.

How Do You Write 127 in Binary?

You can write 127 in binary as 1111111.

What is 10 in Binary?

The decimal value 10 in binary is 1010.

Decimal to Binary Conversion Table

Decimal	Binary	Hexadecimal
0	00000000	0
1	00000001	1
2	00000010	2
3	00000011	3
4	00000100	4
5	00000101	5
6	00000110	6
7	00000111	7
8	00001000	8
9	00001001	9
10	00001010	A
11	00001011	B
12	00001100	C
13	00001101	D
14	00001110	E
15	00001111	F
16	00010000	10
17	00010001	11
18	00010010	12
19	00010011	13
20	00010100	14
21	00010101	15
22	00010110	16
23	00010111	17
24	00011000	18
25	00011001	19
26	00011010	1A
27	00011011	1B
28	00011100	1C
29	00011101	1D
30	00011110	1E
31	00011111	1F
32	00100000	20
33	00100001	21
34	00100010	22
35	00100011	23
36	00100100	24
37	00100101	25
38	00100110	26
39	00100111	27
40	00101000	28
41	00101001	29
42	00101010	2A
43	00101011	2B
44	00101100	2C
45	00101101	2D
46	00101110	2E
47	00101111	2F
48	00110000	30
49	00110001	31
50	00110010	32
51	00110011	33
52	00110100	34
53	00110101	35
54	00110110	36
55	00110111	37
56	00111000	38
57	00111001	39
58	00111010	3A
59	00111011	3B
60	00111100	3C
61	00111101	3D
62	00111110	3E
63	00111111	3F
64	01000000	40
65	01000001	41
66	01000010	42
67	01000011	43
68	01000100	44
69	01000101	45
70	01000110	46
71	01000111	47
72	01001000	48
73	01001001	49
74	01001010	4A
75	01001011	4B
76	01001100	4C
77	01001101	4D
78	01001110	4E
79	01001111	4F
80	01010000	50
81	01010001	51
82	01010010	52
83	01010011	53
84	01010100	54
85	01010101	55
86	01010110	56
87	01010111	57
88	01011000	58
89	01011001	59
90	01011010	5A
91	01011011	5B
92	01011100	5C
93	01011101	5D
94	01011110	5E
95	01011111	5F
96	01100000	60
97	01100001	61
98	01100010	62
99	01100011	63
100	01100100	64
101	01100101	65
102	01100110	66
103	01100111	67
104	01101000	68
105	01101001	69
106	01101010	6A
107	01101011	6B
108	01101100	6C
109	01101101	6D
110	01101110	6E
111	01101111	6F
112	01110000	70
113	01110001	71
114	01110010	72
115	01110011	73
116	01110100	74
117	01110101	75
118	01110110	76
119	01110111	77
120	01111000	78
121	01111001	79
122	01111010	7A
123	01111011	7B
124	01111100	7C
125	01111101	7D
126	01111110	7E
127	01111111	7F