Binary to Decimal

for example, converting a Binary to Decimal number would be:

Decimal Digit Value	256	128	64	32	16	8	4	2	1
Binary Digit Value	1	0	1	1	0	0	1	0	1

By adding together ALL the decimal number values from right to left at the positions that are represented by a “1” gives us:  (256) + (64) + (32) + (4) + (1) = 35710 or three hundred and fifty seven as a decimal number.

Then, we can convert binary to decimal by finding the decimal equivalent of the binary array of digits 1011001012 and expanding the binary digits into a series with a base of  2 n giving an equivalent of 35710 in decimal.