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HEX, DEC, OCT, and BIN Meanings

Category Programming Techniques

The meanings of HEX, DEC, OCT, and BIN are as follows:

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HEX, full English name Hexadecimal, represents the hexadecimal system.

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DEC, full English name Decimal, represents the decimal system.

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OCT, full English name Octal, represents the octal system.

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BIN, full English name Binary, represents the binary system.

Detailed Explanation

Hexadecimal (abbreviated as hex or subscript 16) is a counting system with a base of 16, a system that advances by 1 every 16 counts. It is usually represented by the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and the letters A, B, C, D, E, F (a, b, c, d, e, f), where: A~F represent 10~15, these are called hexadecimal digits.

Decimal numbers are part of a number system based on 10, composed of the ten basic digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The decimal system, known in English as the Decimal System, comes from the Greek word Decem, meaning ten. The decimal counting system was invented by Hindu scholars 1500 years ago and was passed on by Arabs to the 11th century.

Octal, Octal, abbreviated as OCT or O, is a counting method with a base of 8, using the eight digits 0, 1, 2, 3, 4, 5, 6, 7, advancing by 1 every eight counts. In some programming languages, a number starting with the digit 0 often indicates that the number is octal. Octal numbers can correspond bit by bit with binary numbers (one octal digit corresponds to three binary digits), hence their frequent use in computer languages.

Binary is a numbering system widely used in computer technology. Binary data is represented by the digits 0 and 1. Its base is 2, with the rule of advancing by "one every two" and borrowing by "one equals two". Binary numbers (binaries) are a counting system that advances by 2, with 0 and 1 as the basic symbols; the foundation of computer operations uses the binary system.

Hexadecimal / Decimal / Octal / Binary Conversion Example Table

Online base converter: https://c.tutorialpro.org/front-end/58/

Decimal Octal Hexadecimal Binary
0 000 0x00 0000 0000
1 001 0x01 0000 0001
2 002 0x02 0000 0010
3 003 0x03 0000 0011
4 004 0x04 0000 0100
5 005 0x05 0000 0101
6 006 0x06 0000 0110
7 007 0x07 0000 0111
8 010 0x08 0000 1000
9 011 0x09 0000 1001
... ... ... ...
10 012 0x0A 0000 1010
11 013 0x0B 0000 1011
12 014 0x0C 0000 1100
13 015 0x0D 0000 1101
14 016 0x0E 0000 1110
15 017 0x0F 0000 1111
16 020 0x10 0001 0000
17 021 0x11 0001 0001
18 022 0x12 0001 0010
19
97 /141 0x61 0 1 1 0 0 0 0 1
98 /142 0x62 0 1 1 0 0 0 1 0
99 /143 0x63 0 1 1 0 0 0 1 1
100 /144 0x64 0 1 1 0 0 1 0 0
101 /145 0x65 0 1 1 0 0 1 0 1
102 /146 0x66 0 1 1 0 0 1 1 0
103 /147 0x67 0 1 1 0 0 1 1 1
104 /150 0x68 0 1 1 0 1 0 0 0
105 /151 0x69 0 1 1 0 1 0 0 1
106 /152 0x6A 0 1 1 0 1 0 1 0
107 /153 0x6B 0 1 1 0 1 0 1 1
108 /154 0x6C 0 1 1 0 1 1 0 0
109 /155 0x6D 0 1 1 0 1 1 0 1
110 /156 0x6E 0 1 1 0 1 1 1 0
111 /157 0x6F 0 1 1 0 1 1 1 1
112 /160 0x70 0 1 1 1 0 0 0 0
113 /161 0x71 0 1 1 1 0 0 0 1
114 /162 0x72 0 1 1 1 0 0 1 0
115 /163 0x73 0 1 1 1 0 0 1 1
116 /164 0x74 0 1 1 1 0 1 0 0
117 /165 0x75 0 1 1 1 0 1 0 1
118 /166 0x76 0 1 1 1 0 1 1 0
119 /167 0x77 0 1 1 1 0 1 1 1
120 /170 0x78 0 1 1 1 1 0 0 0
121 /171 0x79 0 1 1 1 1 0 0 1
122 /172 0x7A 0 1 1 1 1 0 1 0
123 /173 0x7B 0 1 1 1 1 0 1 1
124 /174 0x7C 0 1 1 1 1 1 0 0
125 /175 0x7D 0 1 1 1 1 1 0 1
126 /176 0x7E 0 1 1 1 1 1 1 0
127 /177 0x7F 0 1 1 1 1 1 1 1
128 /200 0x80 1 0 0 0 0 0 0 0
129 /201 0x81 1 0 0 0 0 0 0 1

| 215 | /327 | 0xD7 | 1 1 0 1 0 1 1 1 | | 216 | /330 | 0xD8 | 1 1 0 1 1 0 0 0 | | 217 | /331 | 0xD9 | 1 1 0 1 1 0 0 1 | | 218 | /332 | 0xDA | 1 1 0 1 1 0 1 0 | | 1 219 | /333 | 0xDB | 1 1 0 1 1 0 1 1 | | | | | | | 220 | /334 | 0xDC | 1 1 0 1 1 1 0 0 | | 221 | /335 | 0xDD | 1 1 0 1 1 1 0 1 | | 222 | /336 | 0xDE | 1 1 0 1 1 1 1 0 | | 223 | /337 | 0xDF | 1 1 0 1 1 1 1 1 | | 224 | /340 | 0xE0 | 1 1 1 0 0 0 0 0 | | 225 | /341 | 0xE1 | 1 1 1 0 0 0 0 1 | | 226 | /342 | 0xE2 | 1 1 1 0 0 0 1 0 | | 227 | /343 | 0xE3 | 1 1 1 0 0 0 1 1 | | 228 | /344 | 0xE4 | 1 1 1 0 0 1 0 0 | | 229 | /345 | 0xE5 | 1 1 1 0 0 1 0 1 | | | | | | | 230 | /346 | 0xE6 | 1 1 1 0 0 1 1 0 | | 231 | /347 | 0xE7 | 1 1 1 0 0 1 1 1 | | 232 | /350 | 0xE8 | 1 1 1 0 1 0 0 0 | | 233 | /351 | 0xE9 | 1 1 1 0 1 0 0 1 | | 234 | /352 | 0xEA | 1 1 1 0 1 0 1 0 | | 235 | /353 | 0xEB | 1 1 1 0 1 0 1 1 | | 236 | /354 | 0xEC | 1 1 1 0 1 1 0 0 | | 237 | /355 | 0xED | 1 1 1 0 1 1 0 1 | | 238 | /356 | 0xEE | 1 1 1 0 1 1 1 0 | | 239 | /357 | 0xEF | 1 1 1 0 1 1 1 1 | | | | | | | 240 | /360 | 0xF0 | 1 1 1 1 0 0 0 0 | | 241 | /361 | 0xF1 | 1 1 1 1 0 0 0 1 | | 242 | /362 | 0xF2 | 1 1 1 1 0 0 1 0 | | 243 | /363 | 0xF3 | 1 1 1 1 0 0 1 1 | | 244 | /364 | 0xF4 | 1 1 1 1 0 1 0 0 | | 245 | /365 | 0xF5 | 1 1 1 1 0 1 0 1 | | 246 | /366 | 0xF6 | 1 1 1 1 0 1 1 0 | | 247 | /367 | 0xF7 | 1 1 1 1 0 1 1 1 | | 248 | /370 | 0xF8 | 1 1 1 1 1 0 0 0 | | 249 | /371 | 0xF9 | 1 1 1 1

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