How to convert decimal to binary

  • Divide the number by 2.
  • Get the integer quotient for the next iteration.
  • Get the remainder for the hex digit.
  • 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

 

How to convert binary to decimal ►

 


See also

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