Visual Basic 2005 for Programmers: Deitel Developer Series, Second Edition

B.5. Converting from Decimal to Binary, Octal or Hexadecimal

The conversions in Section B.4 follow naturally from the positional notation conventions. Converting from decimal to binary, octal, or hexadecimal also follows these conventions.

Suppose we wish to convert decimal 57 to binary. We write the positional values of the columns right to left until we reach a column whose positional value is greater than the decimal number. We don’t need that column, so we discard it. Thus, we first write:

Positional values: 64   32   16   8   4   2   1

Then we discard the column with positional value 64, leaving:

Positional values:      32   16   8   4   2   1

Next we work from the left most column to the right. We divide 32 into 57 and observe that there is one 32 in 57 with ...