HEX to Decimal
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Hexadecimal
Hexadecimal number is a number expressed in the base 16 numeral system. Hexadecimal number's digits have 16 symbols: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. Each digit of a hexadecimal number counts a power of 16.
Hexadecimal number example:
62C16 = 6×162+2×161+12×160 = 158010
Decimal
Decimal number is a number expressed in the base 10 numeral system. Decimal number's digits have 10 symbols: 0,1,2,3,4,5,6,7,8,9. Each digit of a decimal number counts a power of 10.
Decimal number example:
65310 = 6×102+5×101+3×100
How to convert from hex to decimal
A regular decimal number is the sum of the digits multiplied with power of 10.
137 in base 10 is equal to each digit multiplied with its corresponding power of 10:
13710 = 1×102+3×101+7×100 = 100+30+7
Hex numbers are read the same way, but each digit counts power of 16 instead of power of 10.
For hex number with n digits:
dn-1 ... d3 d2 d1 d0
Multiply each digit of the hex number with its corresponding power of 16 and sum:
decimal = dn-1×16n-1 + ... + d3×163 + d2×162 + d1×161+d0×160
Example #1
3B in base 16 is equal to each digit multiplied with its corresponding 16n:
3B16 = 3×161+11×160 = 48+11 = 5910
Example #2
E7A9 in base 16 is equal to each digit multiplied with its corresponding 16n:
E7A916 = 14×163+7×162+10×161+9×160 = 57344+1792+160+9 = 5930510