Binary to Decimal Conversion

In a binary (base 2) number, each "1" represents an integer 2 raised to the power of that character's bit position.

So, for the following 8-bit binary number:

Binary Number ->


1
0
1
1
0
0
1
1

 
Bit Position ->


7
6
5
4
3
2
1
0

 

10110011(base 2) = 2^7 + 2^5 + 2^4 + 2^1 + 2^0

= 128 + 32 + 16 + 2 + 1

= 179 (base 10)

Now you try it...

	* 2^0 =
	* 2^1 =
	* 2^2 =
	* 2^3 =
	* 2^4 =
	* 2^5 =
	* 2^6 =
	* 2^7 =

Related Topics:

• Numerical Conversion