1. Let D= the number we wish to convert from decimal to binary.
2. Repeat until D=0:
a) If D is odd, put "1" in the leftmost open column, and subtract 1 from D.
If D is even, put "0" in the leftmost open column.
c) Divide D by 2.
End Repeat
For the number 163, this works as follows:
1. Let D=163
2.
D is odd, put a 1 in the 2^0 column.
Subtract 1 from D to get 162.
c) Divide D=162 by 2.
Temporary Result: 01 New D=81
D does not equal 0, so we repeat step 2.
2.
D is odd, put a 1 in the 2^1 column.
Subtract 1 from D to get 80.
c) Divide D=80 by 2.
Temporary Result: 11 New D=40
D does not equal 0, so we repeat step 2.
2.
D is even, put a 0 in the 2^2 column.
c) Divide D by 2.
Temporary Result:011 New D=20
2.
D is even, put a 0 in the 2^3 column.
c) Divide D by 2.
Temporary Result: 0011 New D=10
2.
D is even, put a 0 in the 2^4 column.
c) Divide D by 2.
Temporary Result: 00011 New D=5
2. a) D is odd, put a 1 in the 2^5 column.
Subtract 1 from D to get 4.
c) Divide D by 2.
Temporary Result: 100011 New D=2
2.
D is even, put a 0 in the 2^6 column.
c) Divide D by 2.
Temporary Result: 0100011 New D=1
2. a) D is odd, put a 1 in the 27 column.
Subtract 1 from D to get D=0.
c) Divide D by 2.
Temporary Result: 10100011 New D=0
D=0, so we are done, and the decimal number 163 is equivalent to the binary number 10100011.