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EXAMPLE CONVERSION - HEX TO DECIMAL

Hex
9AC3

Decimal Equivalent
39,619

Hex=Decimal	Comment	Hexadecimal number to be converted				Decimal Equivalent
0=0 1=1 2=2 3=3 4=4 5=5 6=6 7=7 8=8 9=9 A=10 B=11 C=12 D=13 E=14 F=15	Columns are numbered from right to left, starting at column zero, not column one	column 3	column 2	column 1	column 0
	Write the hex number with one digit per column	9	A	C	3
	Convert the hex digit to decimal	9	10	12	3
	Multiply each digit by 16 to the power of n, where n is the column number	9 x (16^3)	10 x (16^2)	12 x (16^1)	3 x (16^0)
	Put the answer in this row, and add all the answers together	36,864	+ 2,560	+ 192	+ 3	= 39,619

Definitions:
16^3 = 16 to the power of 3 = (16 x 16 x 16) = 4,096
16^0 = 16 to the power of 0 = 1 (anything to the power of zero equals one.)

Explanation:
Each hex digit is multiplied by 16^n, where n is its column number, numbering from right to left, starting at column zero (not column 1).
Then all the answers are added together. This gives you the decimal equivalent of the hex number you started with.

A general formula can be derived for those familiar with mathematical notation:
Decimal Equiavalent = Σ (Hn x 16^n) from n = 0 to n
where Σ means "sum", n is the column number, and Hn is the hex digit in the n-th column

Hex
9AC3

Binary Equivalent
1001 1010 1100 0011

Hex=Binary	Comment	Hexadecimal number to be converted				Binary Equivalent
0=0000 1=0001 2=0010 3=0011 4=0100 5=0101 6=0110 7=0111 8=1000 9=1001 A=1010 B=1011 C=1100 D=1101 E=1110 F=1111	Hex is directly related to binary and the order of conversion does not matter. You can start at column 3 or column zero.	column 3	column 2	column 1	column 0
	Write the hex number with one digit per column	9	A	C	3
	Convert each hex number directly into binary	1001	1010	1100	0011
	The usual use of binary is in computers where the binary digits are called bits and are grouped by 8's to make one byte (one byte = 8 bits)	1001 1010		1100 0011		1001 1010 1100 0011