Convert from Hexadecimal (Base 16) to Decimal (Base 10)
Perform the conversion of numbers between different numerical systems.
Hexadecimal (Base 16) = Decimal (Base 10)
Information about conversion units:
About Hexadecimal (Base 16)
The hexadecimal system reduces an eight-bit number to just two hexadecimal digits. This reduces the confusion that can arise from reading long strings of binary numbers and the amount of space required to write binary numbers.
About Decimal (Base 10)
The Decimal Number System is a positional numeral system and is the system that we all use without realizing why. The Decimal System uses 10 digits (from 0 to 9). By combining these digits, larger numbers can be expressed.
Hexadecimal (Base 16) vs Decimal (Base 10)
Hexadecimal (Base 16) | Decimal (Base 10) |
---|---|
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 |
¿How to convert from Hexadecimal (Base 16) to Decimal (Base 10)?
Note: To convert a hexadecimal number (base 16) to any other base, first convert the hexadecimal value to decimal (base 10). Follow these steps:
- Identify each digit of the hexadecimal number.
- Calculate the position of each digit. Start from the rightmost digit, which will have a position of 0. Each digit to the left will have an incremental position (1, 2, 3, etc.).
- Calculate the decimal value of each digit by multiplying it by the base (16) raised to the position of the digit. For example: digit * 16^position.
- Add up the values obtained in the previous step to get the equivalent decimal number.
Applying these steps to the hexadecimal number 9F:
- 9 and F are the digits.
- Starting from the rightmost, the positions are 0 and 1.
- 9 * 16^1 = 144; F (which is 15 in decimal) * 16^0 = 15.
- 144 + 15 = 159 decimal.
So, 9F hexadecimal = 159 decimal.
Conversion table of Hexadecimal (Base 16) to Decimal (Base 10)
Hexadecimal (Base 16) | Decimal (Base 10) |
---|---|
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 |
11 | 17 |
12 | 18 |
13 | 19 |
14 | 20 |
15 | 21 |
16 | 22 |
17 | 23 |
18 | 24 |
19 | 25 |
1a | 26 |
1b | 27 |
1c | 28 |
1d | 29 |
1e | 30 |
1f | 31 |
20 | 32 |
21 | 33 |
22 | 34 |
23 | 35 |
24 | 36 |
25 | 37 |
26 | 38 |
27 | 39 |
28 | 40 |
29 | 41 |
2a | 42 |
2b | 43 |
2c | 44 |
2d | 45 |
2e | 46 |
2f | 47 |
30 | 48 |
31 | 49 |
32 | 50 |
33 | 51 |
34 | 52 |
35 | 53 |
36 | 54 |
37 | 55 |
38 | 56 |
39 | 57 |
3a | 58 |
3b | 59 |
3c | 60 |
3d | 61 |
3e | 62 |
3f | 63 |
40 | 64 |
41 | 65 |
42 | 66 |
43 | 67 |
44 | 68 |
45 | 69 |
46 | 70 |
47 | 71 |
48 | 72 |
49 | 73 |
4a | 74 |
4b | 75 |
4c | 76 |
4d | 77 |
4e | 78 |
4f | 79 |
50 | 80 |
51 | 81 |
52 | 82 |
53 | 83 |
54 | 84 |
55 | 85 |
56 | 86 |
57 | 87 |
58 | 88 |
59 | 89 |
5a | 90 |
5b | 91 |
5c | 92 |
5d | 93 |
5e | 94 |
5f | 95 |
60 | 96 |
61 | 97 |
62 | 98 |
63 | 99 |
64 | 100 |
65 | 101 |
66 | 102 |
67 | 103 |
68 | 104 |
69 | 105 |
6a | 106 |
6b | 107 |
6c | 108 |
6d | 109 |
6e | 110 |
6f | 111 |
70 | 112 |
71 | 113 |
72 | 114 |
73 | 115 |
74 | 116 |
75 | 117 |
76 | 118 |
77 | 119 |
78 | 120 |
79 | 121 |
7a | 122 |
7b | 123 |
7c | 124 |
7d | 125 |
7e | 126 |
7f | 127 |
80 | 128 |
81 | 129 |
82 | 130 |
83 | 131 |
84 | 132 |
85 | 133 |
86 | 134 |
87 | 135 |
88 | 136 |
89 | 137 |
8a | 138 |
8b | 139 |
8c | 140 |
8d | 141 |
8e | 142 |
8f | 143 |
90 | 144 |
91 | 145 |
92 | 146 |
93 | 147 |
94 | 148 |
95 | 149 |
96 | 150 |
97 | 151 |
98 | 152 |
99 | 153 |
9a | 154 |
9b | 155 |
9c | 156 |
9d | 157 |
9e | 158 |
9f | 159 |
a0 | 160 |
a1 | 161 |
a2 | 162 |
a3 | 163 |
a4 | 164 |
a5 | 165 |
a6 | 166 |
a7 | 167 |
a8 | 168 |
a9 | 169 |
aa | 170 |
ab | 171 |
ac | 172 |
ad | 173 |
ae | 174 |
af | 175 |
b0 | 176 |
b1 | 177 |
b2 | 178 |
b3 | 179 |
b4 | 180 |
b5 | 181 |
b6 | 182 |
b7 | 183 |
b8 | 184 |
b9 | 185 |
ba | 186 |
bb | 187 |
bc | 188 |
bd | 189 |
be | 190 |
bf | 191 |
c0 | 192 |
c1 | 193 |
c2 | 194 |
c3 | 195 |
c4 | 196 |
c5 | 197 |
c6 | 198 |
c7 | 199 |
c8 | 200 |
c9 | 201 |
ca | 202 |
cb | 203 |
cc | 204 |
cd | 205 |
ce | 206 |
cf | 207 |
d0 | 208 |
d1 | 209 |
d2 | 210 |
d3 | 211 |
d4 | 212 |
d5 | 213 |
d6 | 214 |
d7 | 215 |
d8 | 216 |
d9 | 217 |
da | 218 |
db | 219 |
dc | 220 |
dd | 221 |
de | 222 |
df | 223 |
e0 | 224 |
e1 | 225 |
e2 | 226 |
e3 | 227 |
e4 | 228 |
e5 | 229 |
e6 | 230 |
e7 | 231 |
e8 | 232 |
e9 | 233 |
ea | 234 |
eb | 235 |
ec | 236 |
ed | 237 |
ee | 238 |
ef | 239 |
f0 | 240 |
f1 | 241 |
f2 | 242 |
f3 | 243 |
f4 | 244 |
f5 | 245 |
f6 | 246 |
f7 | 247 |
f8 | 248 |
f9 | 249 |
fa | 250 |
fb | 251 |
fc | 252 |
fd | 253 |
fe | 254 |
ff | 255 |
100 | 256 |
101 | 257 |
102 | 258 |
103 | 259 |
104 | 260 |
105 | 261 |
106 | 262 |
107 | 263 |
108 | 264 |
109 | 265 |
10a | 266 |
10b | 267 |
10c | 268 |
10d | 269 |
10e | 270 |
10f | 271 |
110 | 272 |
111 | 273 |
112 | 274 |
113 | 275 |
114 | 276 |
115 | 277 |
116 | 278 |
117 | 279 |
118 | 280 |
119 | 281 |
11a | 282 |
11b | 283 |
11c | 284 |
11d | 285 |
11e | 286 |
11f | 287 |
120 | 288 |
121 | 289 |
122 | 290 |
123 | 291 |
124 | 292 |
125 | 293 |
126 | 294 |
127 | 295 |
128 | 296 |
129 | 297 |
12a | 298 |
12b | 299 |
12c | 300 |