Hex to Decimal converter

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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

Example #3

0.8 in base 16:

0.816 = 0×160+8×16-1 = 0+0.5 = 0.510

Hex to decimal conversion table

Hexbase 16	Decimalbase 10	Calculation
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	-
10	16	1×161+0×160 = 16
11	17	1×161+1×160 = 17
12	18	1×161+2×160 = 18
13	19	1×161+3×160 = 19
14	20	1×161+4×160 = 20
15	21	1×161+5×160 = 21
16	22	1×161+6×160 = 22
17	23	1×161+7×160 = 23
18	24	1×161+8×160 = 24
19	25	1×161+9×160 = 25
1A	26	1×161+10×160 = 26
1B	27	1×161+11×160 = 27
1C	28	1×161+12×160 = 28
1D	29	1×161+13×160 = 29
1E	30	1×161+14×160 = 30
1F	31	1×161+15×160 = 31
20	32	2×161+0×160 = 32
30	48	3×161+0×160 = 48
40	64	4×161+0×160 = 64
50	80	5×161+0×160 = 80
60	96	6×161+0×160 = 96
70	112	7×161+0×160 = 112
80	128	8×161+0×160 = 128
90	144	9×161+0×160 = 144
A0	160	10×161+0×160 = 160
B0	176	11×161+0×160 = 176
C0	192	12×161+0×160 = 192
D0	208	13×161+0×160 = 208
E0	224	14×161+0×160 = 224
F0	240	15×161+0×160 = 240
100	256	1×162+0×161+0×160 = 256
200	512	2×162+0×161+0×160 = 512
300	768	3×162+0×161+0×160 = 768
400	1024	4×162+0×161+0×160 = 1024

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