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How to convert decimal to binary

How to convert from decimal number to binary number.

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How to convert from decimal number to binary number.

How to convert base 10 to base 2.

How to convert decimal to binary

In order to convert decimal number x to binary number:

For decimal number x:

  • 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

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