From Binary Decimal Hexadecimal

To Binary Decimal Hexadecimal

Enter decimal number

₁₀

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Binary number

₂

Binary signed 2's complement

₂

Hex number

₁₆

Digit grouping

Decimal to binary calculation steps

Divide by the base 2 to get the digits from the remainders:

Division by 2	Quotient	Remainder (Digit)	Bit #

Binary to Decimal conversion ►

How to convert decimal to binary

Conversion steps:

1. Divide the number by 2.
2. Get the integer quotient for the next iteration.
3. Get the remainder for the binary digit.
4. Repeat the steps until the quotient is equal to 0.

Example #1

Convert 13₁₀ to binary:

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

 

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