Decimal to Octal Converter

Decimal to Octal Converter





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5 Fun Facts about Octal and Decimal Numbers:

  1. The word “octal” comes from the Latin word “octo,” which means “eight.” This reflects the fact that octal numbers are based on a base-8 numbering system, with each digit representing a value from 0 to 7.
  2. In octal notation, the digits 0-7 are used to represent values, while in decimal notation, the digits 0-9 are used. This means that the largest single-digit number in octal is 7, while in decimal it is 9.
  3. Octal numbers are often used in computer programming and other technical fields because they are a compact and easily readable way to represent binary data. Each octal digit represents 3 bits of binary data, so a 16-bit binary number can be represented using 5 octal digits.
  4. In mathematics, octal numbers are sometimes used to represent very large numbers that would be difficult to read and work with using traditional decimal notation. For example, the number 7777777 in octal represents the much larger number 2097151 in decimal.
  5. In some programming languages, octal numbers are indicated by a leading zero, such as 0777. This helps to distinguish them from decimal numbers, which do not have a leading zero.

    5 Benefits about Octal and Decimal Numbers:

    1. Compact representation: Hexadecimals and decimals allow large numbers to be represented using fewer digits than would be required in other numbering systems. This can be especially useful when working with large amounts of data or when space is limited.
    2. Easier to read: Both hexadecimals and decimals use a combination of digits, which can make them easier to read and distinguish from one another than other numbering systems.
    3. More user-friendly: Hexadecimals and decimals are often used in computer programming and other technical fields because they are easier for humans to read and understand than binary or other low-level representations.
    4. More efficient: Both hexadecimals and decimals can be more efficient to use in certain contexts, such as when working with large amounts of data that need to be stored or transmitted.
    5. Widely used: Both hexadecimals and decimals are used in a variety of fields, including computer programming, web development, and data storage, which means that they are useful skills to have in many different professional contexts.

      5 Funny Jokes about Numbers:

      1. “Why was the math book sad? Because it had too many problems.”
      2. “Why was 6 afraid of 7? Because 7 8 9.”
      3. “I tried to calculate how many sheep there were in Wales, but I kept getting Wales is not sheep.”
      4. “Why did the tomato turn red? Because it saw the salad dressing!”
      5. “Why was the number 4 unhappy? Because it was two squared and didn’t want to be squared away.”

        Frequently Asked Questions

        What is an Octal Number?

        An octal number is a number written using the base-8 numbering system. In this system, the digits 0-7 are used to represent values, with each digit representing a power of 8.

        How do you convert 0.25 to octal?

        The octal equivalent of the decimal number 0.25 is 0.02.

        What is the octal equivalent of decimal number 8?

        The octal equivalent of the decimal number 8 is 10.

        Decimal To Octal

        Decimal System

        The decimal numeral framework is the most normally utilized and the standard framework in day by day life. It utilizes the number 10 as its base (radix). In this way, it has 10 images: The numbers from 0 to 9; in particular 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

        As one of the most established known numeral frameworks, the decimal numeral framework has been utilized by numerous antiquated civilizations. The trouble of addressing extremely enormous numbers in the decimal framework was overwhelmed by the Hindu–Arabic numeral framework. The Hindu-Arabic numeral framework offers positions to the digits in a number and this technique works by utilizing forces of the base 10; digits are raised to the nth force, as per their position.

        For example, take the number 2345.67 in the decimal framework:

        The digit 5 is in the situation of ones (100, which approaches 1),

        4 is in the situation of tens (101)

        3 is in the situation of hundreds (102)

        2 is in the situation of thousands (103)

        In the interim, the digit 6 after the decimal point is in the tenths (1/10, which is 10-1) and 7 is in the hundredths (1/100, which is 10-2) position

        In this way, the number 2345.67 can likewise be addressed as follows: (2 * 103) + (3 * 102) + (4 * 101) + (5 * 100) + (6 * 10-1) + (7 * 10-2)

        Octal Number System:

        The octal numeral framework is the base 8 number framework, and utilizes  the digits from 0 to  7. Octal numerals can be produced using binary numerals by gathering continuous binary digits into gatherings of three (beginning from the right).

        decimal to octal

        decimal to octal

         

         

        Converting Decimal To octal

        To change decimal over to octal, we need to find out about both the number framework first. Here we will change a decimal number over to an identical octal number. It is same as changing any decimal number over to parallel or decimal to hexadecimal.

         

        In decimal to double, we partition the number by 2, in decimal to hexadecimal we partition the number by 16. In the event of decimal to octal, we partition the number by 8 and compose the remnants in the converse request to get the same octal number.

         

        decimal to octal

        decimal to octal

         

        Convert Decimal to Octal with Steps Follow the means offered underneath to get familiar with the decimal to octal change:

         1. Compose the given decimal number

         2. In the event that the given decimal number is under 8 the octal number is something very similar.

        3. In the event that the decimal number is more prominent than 7, partition the number by 8.

        4. Note the rest of, get after division

         5. Do stage 3 and 4 with the remainder till it is under 8

        6. Presently, compose the leftovers in invert request (base to top)

         7. The resultant is the same octal number to the given decimal number.

        Changing over with Remainders (For whole number part)

        This is a direct strategy which include separating the number to be changed over. Let decimal number is N then, at that point partition this number from 8 since base of octal number framework is 8. Note down the worth of leftover portion, which will be − 0, 1, 2, 3, 4, 5, 6, or 7. Again partition staying decimal number till it became 0 and note each rest of each progression. Then, at that point compose leftovers from base to up (or in turn around request), which will be comparable octal number of given decimal number. This is method for changing over a number decimal number, calculation is given underneath.

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        • Accept decimal number as profit.

        • Separation this number by (8 is base of octal so divisor here).

        • Store the rest of a cluster (it will be: 0, 1, 2, 3, 4, 5, 6 or 7 on account of divisor 8).

        • Rehash the over two stages until the number is more noteworthy than nothing.

        • Print the cluster backward request (which will be identical octal number of given decimal number).

        Note that profit (here given decimal number) is the number being isolated, the divisor (here base of octal, i.e., 8) in the number by which the profit is separated, and remainder (staying partitioned decimal number) is the consequence of the division.

        decimal to octal

        decimal to octal

        Changing over with Remainders (For fragmentary part)

        Let decimal partial part is M then increase this number from 8 since base of octal number framework is 8. Note down the worth of whole number part, which will be − 0, 1, 2, 3, 4, 5, 6, and 7. Again increase staying decimal partial number till it became 0 and note each whole number piece of consequence of each progression. Then, at that point compose noted aftereffects of number part, which will be comparable portion octal number of given decimal number. This is system for changing over a fragmentary decimal number, calculation is given underneath.

        • Accept decimal number as multiplicand.

        • Various this number by (8 is base of octal so multiplier here).

        • Store the worth of whole number piece of result in a cluster (it will be: 0, 1, 2, 3, 4, 5, 6, and 7 in light of multiplier 8).

        • Rehash the over two stages until the number became zero.

        • Print the cluster (which will be comparable fragmentary octal number of given decimal partial number).

        Note that a multiplicand (here decimal fragmentary number) is that to be duplicated by multiplier (here base of octal, i.e., 8)

         

        Decimal to Octal Conversion Chart Table

         

        Octal
        1 1
        2 2
        3 3
        4 4
        5 5
        6 6
        7 7
        8 10
        9 11
        10 12
        11 13
        12 14
        13 15
        14 16
        15 17
        16 20
        17 21
        18 22
        19 23
        20 24
        21 25
        22 26
        23 27
        24 30
        25 31
        26 32
        27 33
        28 34
        29 35
        30 36
        31 37
        32 40
        33 41
        34 42
        35 43
        36 44
        37 45
        38 46
        39 47
        40 50
        41 51
        42 52
        43 53
        44 54
        45 55
        46 56
        47 57
        48 60
        49 61
        50 62
        51 63
        52 64
        53 65
        54 66
        55 67
        56 70
        57 71
        58 72
        59 73
        60 74
        61 75
        62 76
        63 77
        64 100

         

         

        Decimal Octal
        65 101
        66 102
        67 103
        68 104
        69 105
        70 106
        71 107
        72 110
        73 111
        74 112
        75 113
        76 114
        77 115
        78 116
        79 117
        80 120
        81 121
        82 122
        83 123
        84 124
        85 125
        86 126
        87 127
        88 130
        89 131
        90 132
        91 133
        92 134
        93 135
        94 136
        95 137
        96 140
        97 141
        98 142
        99 143
        100 144
        101 145
        102 146
        103 147
        104 150
        105 151
        106 152
        107 153
        108 154
        109 155
        110 156
        111 157
        112 160
        113 161
        114 162
        115 163
        116 164
        117 165
        118 166
        119 167
        120 170
        121 171
        122 172
        123 173
        124 174
        125 175
        126 176
        127 177
        128 200

         

         

        Decimal Octal
        129 201
        130 202
        131 203
        132 204
        133 205
        134 206
        135 207
        136 210
        137 211
        138 212
        139 213
        140 214
        141 215
        142 216
        143 217
        144 220
        145 221
        146 222
        147 223
        148 224
        149 225
        150 226
        151 227
        152 230
        153 231
        154 232
        155 233
        156 234
        157 235
        158 236
        159 237
        160 240
        161 241
        162 242
        163 243
        164 244
        165 245
        166 246
        167 247
        168 250
        169 251
        170 252
        171 253
        172 254
        173 255
        174 256
        175 257
        176 260
        177 261
        178 262
        179 263
        180 264
        181 265
        182 266
        183 267
        184 270
        185 271
        186 272
        187 273
        188 274
        189 275
        190 276
        191 277
        192 300

         

         

        Decimal Octal
        193 301
        194 302
        195 303
        196 304
        197 305
        198 306
        199 307
        200 310
        201 311
        202 312
        203 313
        204 314
        205 315
        206 316
        207 317
        208 320
        209 321
        210 322
        211 323
        212 324
        213 325
        214 326
        215 327
        216 330
        217 331
        218 332
        219 333
        220 334
        221 335
        222 336
        223 337
        224 340
        225 341
        226 342
        227 343
        228 344
        229 345
        230 346
        231 347
        232 350
        233 351
        234 352
        235 353
        236 354
        237 355
        238 356
        239 357
        240 360
        241 361
        242 362
        243 363
        244 364
        245 365
        246 366
        247 367
        248 370
        249 371
        250 372
        251 373
        252 374
        253 375
        254 376
        255 377

        Decimal Binary Octal Hex
        0 0000 0 0
        1 0001 1 1
        2 0010 2 2
        3 0011 3 3
        4 0100 4 4
        5 0101 5 5
        6 0110 6 6
        7 0111 7 7
        8 1000 10 8
        9 1001 11 9
        10 1010 12 A
        11 1011 13 B
        12 1100 14 C
        13 1101 15 D
        14 1110 16 E
        15 1111 17 F