Conversion From Binary To Decimal Numbers (Expansion Method)
The expansion and place value method could be employed to do this type of conversion. This method could equally be used to convert from any other base number such as base 4, base 8, etc to decimal.
We use the expansion method to convert from binary back to decimal. In doing this, you have to expand the old number base.
Convert 1012 to decimal
Answer – 1012 =510
Remember: that any number raised to the power 0 is 1, Except 0
e.g 1000 = 1
Convert 101112 to decimal
Answer – 101112 = 2310
Convert 00101 to decimal
Answer – 001012 = 510
The first 0 at the beginning of any number has no effect on the actual number (i.e 00101 is the same as 101)
Convert the following numbers from binary to decimal.
(a) 101002 (b) 100002 (c) 110012
Therefore, 101002 = 2410