Hexadecimal to Decimal converter

Enter hex number:
	16
Convert Reset Swap
Decimal number:
	10
Decimal from signed 2's complement:
	10
Binary number:
	2
Decimal calculation:

Decimal to hex converter ►

How to trade over from hex to decimal

A desired decimal quantity is the quantity of the digits accelerated with force of 10.

137 in base 10 is identical to each digit duplicated with its pertaining to strain of 10:

137₁₀ = 1&instances;10²+3&instances;10¹+7&instances;10⁰ = a hundred+30+7

Hex numbers are perused the identical way, yet each digit counts force of sixteen in place of strain of 10.

For hex variety with n digits:

d_n-1 ... d₃ d₂ d₁ d_zero

Multiply every digit of the hex range with its evaluating strain of sixteen and sum:

decimal = d_n-1&instances;sixteen^n-1 + ... + d_three&instances;16^three + d₂&instances;sixteen² + d₁&instances;16¹+d_zero×sixteen⁰

Example #1

3B in base sixteen is same to each digit duplicated with its evaluating 16ⁿ:

3B_sixteen = 3&instances;16¹+11&instances;sixteen⁰ = 48+11 = 59₁₀

Example #2

E7A9 in base 16 is equal to each digit duplicated with its regarding sixteenⁿ:

E7A9₁₆ = 14&instances;sixteen³+7×16²+10&instances;sixteen¹+9&instances;16⁰ = 57344+1792+160+9 = 59305₁₀

Example #3

0.Eight in base 16:

0.Eight₁₆ = zero×sixteen^zero+eight&instances;16^-1 = 0+0.5 = zero.Five₁₀

Hex to decimal transformation desk

Hex base 16	Decimal base 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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