Decimal to Binary converter

Binary to Decimal conversion →

How to convert decimal to binary

To convert decimal number x to binary number:

• Get the highest power of 2 that is less than the decimal number x:

max(2n)  13

So

n = 3

d3 = 1

Δ = 13 - 23 = 5

n = 2, x = Δ = 5

d2 = 1

Δ = 5 - 22 = 1

n = 1, x = Δ = 1

d2 = 0

n = 0, x = Δ = 1

d0 = 1

Δ = 1 - 1 = 0

(d3d2d1d0)  = 1101

So 13 in decimal is equal to 1101 in binary:

x = 1310 = 11012

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
64	1000000
128	10000000
256	100000000