# Convert from Hexadecimal (Base 16) to Decimal (Base 10)

On this page you can perform the conversion of units of Hexadecimal (Base 16) to Decimal (Base 10)

## Information on conversion units:

The hexadecimal system reduces an eight-bit number to only two hexadecimal digits. This reduces the confusion that can arise when reading long strings of binary numbers and the amount of space required when writing binary numbers.

The Decimal Numbering System is a positional numbering system and is the system 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.

00
11
22
33
44
55
66
77
88
99
a10
b11
c12
d13
e14
f15

## ¿How to convert from Hexadecimal (Base 16) to Decimal (Base 10)?

Note: To convert a number in hexadecimal format (base 16) to any other base, we must first convert the hexadecimal value to decimal base (base 10), for this we must follow these steps:

1. Identify each digit of the hexadecimal number.
2. 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 of 1 (1, 2, 3, etc.).
3. Calculate the decimal value of each digit by multiplying it by the base (16) raised to the digit's position. For example: digit * 16^position
4. Sum the values obtained in the previous step to obtain the equivalent decimal number.

### Applying these steps to the hexadecimal number 9F:

1. 9 and F are the digits.
2. From rightmost to leftmost, the positions are 0 and 1.
3. 9 * 16^1 = 144; F (which equals 15 in decimal) * 16^0 = 15.
4. 144 + 15 = 159 decimal.

So, 9F hexadecimal = 159 decimal.

## Conversion table from Hexadecimal (Base 16) to Decimal (Base 10)

Hexadecimal (Base 16) Decimal (Base 10)
11
22
33
44
55
66
77
88
99
a10
b11
c12
d13
e14
f15
1016
1117
1218
1319
1420
1521
1622
1723
1824
1925
1a26
1b27
1c28
1d29
1e30
1f31
2032
2133
2234
2335
2436
2537
2638
2739
2840
2941
2a42
2b43
2c44
2d45
2e46
2f47
3048
3149
3250
3351
3452
3553
3654
3755
3856
3957
3a58
3b59
3c60
3d61
3e62
3f63
4064
4165
4266
4367
4468
4569
4670
4771
4872
4973
4a74
4b75
4c76
4d77
4e78
4f79
5080
5181
5282
5383
5484
5585
5686
5787
5888
5989
5a90
5b91
5c92
5d93
5e94
5f95
6096
6197
6298
6399
64100
65101
66102
67103
68104
69105
6a106
6b107
6c108
6d109
6e110
6f111
70112
71113
72114
73115
74116
75117
76118
77119
78120
79121
7a122
7b123
7c124
7d125
7e126
7f127
80128
81129
82130
83131
84132
85133
86134
87135
88136
89137
8a138
8b139
8c140
8d141
8e142
8f143
90144
91145
92146
93147
94148
95149
96150
97151
98152
99153
9a154
9b155
9c156
9d157
9e158
9f159
a0160
a1161
a2162
a3163
a4164
a5165
a6166
a7167
a8168
a9169
aa170
ab171
ac172
ae174
af175
b0176
b1177
b2178
b3179
b4180
b5181
b6182
b7183
b8184
b9185
ba186
bb187
bc188
bd189
be190
bf191
c0192
c1193
c2194
c3195
c4196
c5197
c6198
c7199
c8200
c9201
ca202
cb203
cc204
cd205
ce206
cf207
d0208
d1209
d2210
d3211
d4212
d5213
d6214
d7215
d8216
d9217
da218
db219
dc220
dd221
de222
df223
e0224
e1225
e2226
e3227
e4228
e5229
e6230
e7231
e8232
e9233
ea234
eb235
ec236
ed237
ee238
ef239
f0240
f1241
f2242
f3243
f4244
f5245
f6246
f7247
f8248
f9249
fa250
fb251
fc252
fd253
fe254
ff255
100256
101257
102258
103259
104260
105261
106262
107263
108264
109265
10a266
10b267
10c268
10d269
10e270
10f271
110272
111273
112274
113275
114276
115277
116278
117279
118280
119281
11a282
11b283
11c284
11d285
11e286
11f287
120288
121289
122290
123291
124292
125293
126294
127295
128296
129297
12a298
12b299
12c300