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 1510 to binary:

Division
by 2
QuotientRemainderBit #
15/2710
7/2311
3/2112
1/2013

So 1510 = 11112

Example #2

Convert 17510 to binary:

Division
by 2
QuotientRemainderBit #
175/28710
87/24311
43/22112
21/21013
10/2504
5/2215
2/2106
1/2017

So 17510 = 101011112

Example #3

Convert 17610 to binary:

Division
by 2
QuotientRemainderBit #
176/28800
88/24401
44/22202
22/21103
11/2514
5/2215
2/2106
1/2017

So 17510 = 101100002

 

 

How to convert binary to decimal ►

 


See also

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