Decimal to Binary converter

Effortless Decimal to Binary Conversion: Try Our Converter Tool Today!

10
2
2
16

Little endian

Address
Data

Big endian

Address
Data

Decimal to binary calculation steps

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

Division
by 2 		Quotient

Remainder

(Digit) 		Bit #

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

 

Why should I use a Decimal to Binary converter?

A Decimal to Binary converter simplifies the process of converting decimal numbers into their binary equivalents. It's especially useful for programmers, students, and anyone working with digital systems or binary data. With this tool, you can quickly and accurately translate decimal values into binary, making it easier to work with binary representations.

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