Hexadecimal
Revision as of 23:50, 15 August 2023 by Digimer (talk | contribs) (Created page with "{{header}} Hexadecimal is a method of representing 4 bits of data (known as a nibble) using a single ASCII character in the range from [0-9a-f]. = Use = Hexadecimal is very often used where a long binary string needs to presented to a human user. A good example would be the colour setting used on most modern graphics and web programs. Continuing this example, computer colours are often represented as six hexadecimal digits. Each pair, that is each byte, re...")
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Main Page :: Hexadecimal |
Hexadecimal is a method of representing 4 bits of data (known as a nibble) using a single ASCII character in the range from [0-9a-f].
Use
Hexadecimal is very often used where a long binary string needs to presented to a human user. A good example would be the colour setting used on most modern graphics and web programs. Continuing this example, computer colours are often represented as six hexadecimal digits. Each pair, that is each byte, representing Red, Green and Red respectively. These three primary colours are #ff0000, #00ff00 and #0000ff respectively. All other possible colors are simply ranges, or intensities, of these three colours.
Nibble-length Hexadecimal to Binary to Decimal Conversion Chart
In most cases, two hexadecimal characters are used to represent a byte. Before you look at that though, be sure to understand what each hex character represents.
Dec. | Hex. | Binary
------+------+--------
0 | 0 | 0000
1 | 1 | 0001
2 | 2 | 0010
3 | 3 | 0011
4 | 4 | 0100
5 | 5 | 0101
6 | 6 | 0110
7 | 7 | 0111
8 | 8 | 1000
9 | 9 | 1001
10 | a | 1010
11 | b | 1011
12 | c | 1100
13 | d | 1101
14 | e | 1110
15 | f | 1111
------+------+--------
Byte-length Hexadecimal to Binary to Decimal Conversion Chart
This is the full chart of decimal to hexadecimal to binary values covering the full 256 possible values of a single byte. This is a convenient resource to review when, among other things, trying to covert IP addresses to hexadecimal values.
Dec. | Hex. | Binary
------+-------+-----------
0 | 00 | 0000 0000
1 | 01 | 0000 0001
2 | 02 | 0000 0010
3 | 03 | 0000 0011
4 | 04 | 0000 0100
5 | 05 | 0000 0101
6 | 06 | 0000 0110
7 | 07 | 0000 0111
8 | 08 | 0000 1000
9 | 09 | 0000 1001
10 | 0a | 0000 1010
11 | 0b | 0000 1011
12 | 0c | 0000 1100
13 | 0d | 0000 1101
14 | 0e | 0000 1110
15 | 0f | 0000 1111
16 | 10 | 0001 0000
17 | 11 | 0001 0001
18 | 12 | 0001 0010
19 | 13 | 0001 0011
20 | 14 | 0001 0100
21 | 15 | 0001 0101
22 | 16 | 0001 0110
23 | 17 | 0001 0111
24 | 18 | 0001 1000
25 | 19 | 0001 1001
26 | 1a | 0001 1010
27 | 1b | 0001 1011
28 | 1c | 0001 1100
29 | 1d | 0001 1101
30 | 1e | 0001 1110
31 | 1f | 0001 1111
32 | 20 | 0010 0000
33 | 21 | 0010 0001
34 | 22 | 0010 0010
35 | 23 | 0010 0011
36 | 24 | 0010 0100
37 | 25 | 0010 0101
38 | 26 | 0010 0110
39 | 27 | 0010 0111
40 | 28 | 0010 1000
41 | 29 | 0010 1001
42 | 2a | 0010 1010
43 | 2b | 0010 1011
44 | 2c | 0010 1100
45 | 2d | 0010 1101
46 | 2e | 0010 1110
47 | 2f | 0010 1111
48 | 30 | 0011 0000
49 | 31 | 0011 0001
50 | 32 | 0011 0010
51 | 33 | 0011 0011
52 | 34 | 0011 0100
53 | 35 | 0011 0101
54 | 36 | 0011 0110
55 | 37 | 0011 0111
56 | 38 | 0011 1000
57 | 39 | 0011 1001
58 | 3a | 0011 1010
59 | 3b | 0011 1011
60 | 3c | 0011 1100
61 | 3d | 0011 1101
62 | 3e | 0011 1110
63 | 3f | 0011 1111
64 | 40 | 0100 0000
65 | 41 | 0100 0001
66 | 42 | 0100 0010
67 | 43 | 0100 0011
68 | 44 | 0100 0100
69 | 45 | 0100 0101
70 | 46 | 0100 0110
71 | 47 | 0100 0111
72 | 48 | 0100 1000
73 | 49 | 0100 1001
74 | 4a | 0100 1010
75 | 4b | 0100 1011
76 | 4c | 0100 1100
77 | 4d | 0100 1101
78 | 4e | 0100 1110
79 | 4f | 0100 1111
80 | 50 | 0101 0000
81 | 51 | 0101 0001
82 | 52 | 0101 0010
83 | 53 | 0101 0011
84 | 54 | 0101 0100
85 | 55 | 0101 0101
86 | 56 | 0101 0110
87 | 57 | 0101 0111
88 | 58 | 0101 1000
89 | 59 | 0101 1001
90 | 5a | 0101 1010
91 | 5b | 0101 1011
92 | 5c | 0101 1100
93 | 5d | 0101 1101
94 | 5e | 0101 1110
95 | 5f | 0101 1111
96 | 60 | 0110 0000
97 | 61 | 0110 0001
98 | 62 | 0110 0010
99 | 63 | 0110 0011
100 | 64 | 0110 0100
101 | 65 | 0110 0101
102 | 66 | 0110 0110
103 | 67 | 0110 0111
104 | 68 | 0110 1000
105 | 69 | 0110 1001
106 | 6a | 0110 1010
107 | 6b | 0110 1011
108 | 6c | 0110 1100
109 | 6d | 0110 1101
110 | 6e | 0110 1110
111 | 6f | 0110 1111
112 | 70 | 0111 0000
113 | 71 | 0111 0001
114 | 72 | 0111 0010
115 | 73 | 0111 0011
116 | 74 | 0111 0100
117 | 75 | 0111 0101
118 | 76 | 0111 0110
119 | 77 | 0111 0111
120 | 78 | 0111 1000
121 | 79 | 0111 1001
122 | 7a | 0111 1010
123 | 7b | 0111 1011
124 | 7c | 0111 1100
125 | 7d | 0111 1101
126 | 7e | 0111 1110
127 | 7f | 0111 1111
128 | 80 | 1000 0000
129 | 81 | 1000 0001
130 | 82 | 1000 0010
131 | 83 | 1000 0011
132 | 84 | 1000 0100
133 | 85 | 1000 0101
134 | 86 | 1000 0110
135 | 87 | 1000 0111
136 | 88 | 1000 1000
137 | 89 | 1000 1001
138 | 8a | 1000 1010
139 | 8b | 1000 1011
140 | 8c | 1000 1100
141 | 8d | 1000 1101
142 | 8e | 1000 1110
143 | 8f | 1000 1111
144 | 90 | 1001 0000
145 | 91 | 1001 0001
146 | 92 | 1001 0010
147 | 93 | 1001 0011
148 | 94 | 1001 0100
149 | 95 | 1001 0101
150 | 96 | 1001 0110
151 | 97 | 1001 0111
152 | 98 | 1001 1000
153 | 99 | 1001 1001
154 | 9a | 1001 1010
155 | 9b | 1001 1011
156 | 9c | 1001 1100
157 | 9d | 1001 1101
158 | 9e | 1001 1110
159 | 9f | 1001 1111
160 | a0 | 1010 0000
161 | a1 | 1010 0001
162 | a2 | 1010 0010
163 | a3 | 1010 0011
164 | a4 | 1010 0100
165 | a5 | 1010 0101
166 | a6 | 1010 0110
167 | a7 | 1010 0111
168 | a8 | 1010 1000
169 | a9 | 1010 1001
170 | aa | 1010 1010
171 | ab | 1010 1011
172 | ac | 1010 1100
173 | ad | 1010 1101
174 | ae | 1010 1110
175 | af | 1010 1111
176 | b0 | 1011 0000
177 | b1 | 1011 0001
178 | b2 | 1011 0010
179 | b3 | 1011 0011
180 | b4 | 1011 0100
181 | b5 | 1011 0101
182 | b6 | 1011 0110
183 | b7 | 1011 0111
184 | b8 | 1011 1000
185 | b9 | 1011 1001
186 | ba | 1011 1010
187 | bb | 1011 1011
188 | bc | 1011 1100
189 | bd | 1011 1101
190 | be | 1011 1110
191 | bf | 1011 1111
192 | c0 | 1100 0000
193 | c1 | 1100 0001
194 | c2 | 1100 0010
195 | c3 | 1100 0011
196 | c4 | 1100 0100
197 | c5 | 1100 0101
198 | c6 | 1100 0110
199 | c7 | 1100 0111
200 | c8 | 1100 1000
201 | c9 | 1100 1001
202 | ca | 1100 1010
203 | cb | 1100 1011
204 | cc | 1100 1100
205 | cd | 1100 1101
206 | ce | 1100 1110
207 | cf | 1100 1111
208 | d0 | 1101 0000
209 | d1 | 1101 0001
210 | d2 | 1101 0010
211 | d3 | 1101 0011
212 | d4 | 1101 0100
213 | d5 | 1101 0101
214 | d6 | 1101 0110
215 | d7 | 1101 0111
216 | d8 | 1101 1000
217 | d9 | 1101 1001
218 | da | 1101 1010
219 | db | 1101 1011
220 | dc | 1101 1100
221 | dd | 1101 1101
222 | de | 1101 1110
223 | df | 1101 1111
224 | e0 | 1110 0000
225 | e1 | 1110 0001
226 | e2 | 1110 0010
227 | e3 | 1110 0011
228 | e4 | 1110 0100
229 | e5 | 1110 0101
230 | e6 | 1110 0110
231 | e7 | 1110 0111
232 | e8 | 1110 1000
233 | e9 | 1110 1001
234 | ea | 1110 1010
235 | eb | 1110 1011
236 | ec | 1110 1100
237 | ed | 1110 1101
238 | ee | 1110 1110
239 | ef | 1110 1111
240 | f0 | 1111 0000
241 | f1 | 1111 0001
242 | f2 | 1111 0010
243 | f3 | 1111 0011
244 | f4 | 1111 0100
245 | f5 | 1111 0101
246 | f6 | 1111 0110
247 | f7 | 1111 0111
248 | f8 | 1111 1000
249 | f9 | 1111 1001
250 | fa | 1111 1010
251 | fb | 1111 1011
252 | fc | 1111 1100
253 | fd | 1111 1101
254 | fe | 1111 1110
255 | ff | 1111 1111
------+-------+-----------
If you are interested, this is the script used to create the chart above.
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