Decimal to Binary converter

Enter decimal number:
	10
Convert Reset Swap
Binary number:
	2
Binary signed 2's complement:
	2
Hex number:
	16
Digit grouping

Binary to Decimal conversion ►

How to convert decimal to binary

Conversion steps:

1. Divide the number by way of 2.
2. Get the integer quotient for the subsequent generation.
3. Get the the relaxation for the binary digit.
4. Repeat the steps till the quotient is identical to zero.

Example #1

Convert thirteen₁₀ to binary:

In computer technological knowledge, the binary amount gadget is widely used as a manner to symbolize numbers. The binary machine uses handiest digits, 0 and 1, and each digit represents a strength of . Converting a decimal range to binary is a commonplace operation in computer programming, and it's miles crucial to apprehend the way of changing decimal numbers to binary.

Binary Number System: -

The binary range tool is a positional variety device that makes use of best two digits, 0 and 1. Each digit in a binary range represents a strength of . The rightmost digit represents 2^0, the subsequent digit to the left represents 2^1, the subsequent digit to the left represents 2^2, and so on.

For instance, the binary variety 1010 represents:

(1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (zero * 2^zero) = 8 + 0 + 2 + zero = 10.

Converting Decimal to Binary: - To convert a decimal quantity to a binary number, we divide the decimal huge variety by way of way of 2 and write down the the rest. We repeat this approach, dividing the quotient by way of 2 and writing down the the rest till the quotient turns into 0. Then we examine the remainders from the lowest up to attain the binary instance of the decimal range.

For instance, to transform the decimal range 13 to binary:

13 / 2 = 6 the relaxation 1

6 / 2 = 3 the relaxation 0

3 / 2 = 1 the relaxation 1

1 / 2 = zero remainder 1

Division by 2	Quotient	Remainder	Bit #
13/2	6	1	0
6/2	3	0	1
3/2	1	1	2
1/2	0	1	3

So 13₁₀ = 1101₂

Example #2

Convert 174₁₀ to binary:

Division by 2	Quotient	Remainder	Bit #
174/2	87	0	0
87/2	43	1	1
43/2	21	1	2
21/2	10	1	3
10/2	5	0	4
5/2	2	1	5
2/2	1	0	6
1/2	0	1	7

So 174₁₀ = 10101110₂

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