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 change over from hex to decimal

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

137 in base 10 is same to every digit duplicated with its relating to strain of 10:

137₁₀ = 1&instances;10²+3&instances;10¹+7×10^zero = a hundred+30+7

Hex numbers are perused the equal way, but each digit counts force of 16 in location of strain of 10.

For hex range with n digits:

d_n-1 ... d₃ d₂ d₁ d₀

Multiply every digit of the hex variety with its evaluating pressure of sixteen and sum:

decimal = d_n-1×16^n-1 + ... + d_three&instances;16^three + d₂&instances;sixteen² + d₁×16¹+d₀×16^zero

Example #1

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

3B₁₆ = 3×sixteen¹+eleven&instances;16⁰ = forty eight+11 = fifty nine₁₀

Example #2

E7A9 in base 16 is equal to every digit duplicated with its concerning sixteenⁿ:

E7A9₁₆ = 14&instances;sixteen^three+7&instances;sixteen²+10×16¹+9×sixteen⁰ = 57344+1792+one hundred sixty+9 = 59305₁₀

Example #three

0.Eight in base 16:

0.Eight_sixteen = zero&instances;16^zero+8&instances;16^-1 = 0+0.Five = 0.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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