Decimal To Binary Converter

What is the Decimal to Binary Converter Tool?

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.

Understanding Decimal and Binary Numbers

Decimal and binary numbers are two different number systems commonly used in computing and digital electronics.

Decimal Numbers (Base 10)

Decimal numbers use ten symbols: digits 0-9. This is the most commonly used number system in everyday life.

Binary Numbers (Base 2)

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.

Decimal to Binary Conversion

To convert a decimal number to a binary number, you can use a decimal to binary converter. This process involves a few steps:

1. Divide: Divide the decimal number by 2 and write down the remainder.
2. Repeat: Continue dividing the quotient by 2, noting the remainders, until the quotient is 0.
3. Combine: Write the remainders in reverse order to get the binary number.

For example, to convert the decimal number 16 to binary:

1. Divide 16 by 2, remainder is 0.
2. Divide 8 by 2, remainder is 0.
3. Divide 4 by 2, remainder is 0.
4. Divide 2 by 2, remainder is 0.
5. Divide 1 by 2, remainder is 1.
6. Write the remainders in reverse order: 10000.

Thus, the decimal number 16 is equal to the binary number 10000.

Decimal to Binary Conversion Table

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