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Binary data

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material, this is a type of paramagnetic material that has domains aligned in a particular direction to give a remnant magnetic field even after removal of currents through materials or magnetic field. During loading of data in the magnetic tape, the magnetic field is passed in one direction to call the saved orientation of the domain 1 and for the magnetic field is passed in another direction, then the saved orientation of the domain is 0. In this way, generally, 1 and 0 data are stored.
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the "failure" value). For example, if the value A is considered "success" (and thus B is considered "failure"), the data set A, A, B would be represented as 1, 1, 0. When this is grouped, the values are added, while the number of trial is generally tracked implicitly. For example, A, A, B would be grouped as 1 + 1 + 0 = 2 successes (out of
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by writing one coordinate for each possible value, and counting 1 for the value that occurs, and 0 for the value that does not occur. For example, if the values are A and B, then the data set A, A, B can be represented in counts as (1, 0), (1, 0), (0, 1). Once converted to counts, binary data can be
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Since there are only two possible values, this can be simplified to a single count (a scalar value) by considering one value as "success" and the other as "failure", coding a value of the success as 1 and of the failure as 0 (using only the coordinate for the "success" value, not the coordinate for
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However, it can also be used for data that is assumed to have only two possible values, even if they are not conceptually opposed or conceptually represent all possible values in the space. For example, binary data is often used to represent the party choices of voters in elections in the United
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1 and 0 are nothing but just two different voltage levels. You can make the computer understand 1 for higher voltage and 0 for lower voltage. There are many different ways to store two voltage levels. If you have seen floppy, then you will find a magnetic tape that has a coating of ferromagnetic
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should exist, and indeed, other parties do exist in the U.S., but they are so minor that they are generally simply ignored. Modeling continuous data (or categorical data of more than 2 categories) as a binary variable for analysis purposes is called
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and cannot be compared numerically. However, the values are frequently represented as 1 or 0, which corresponds to counting the number of successes in a single trial: 1 (success…) or 0 (failure); see
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are sometimes used. Semantically textual data can be represented in binary format (e.g. when compressed or in certain formats that intermix various sorts of formatting codes, as in the
624: 435:, but in general binary data need not come from i.i.d. variables. Total counts of i.i.d. binary variables (equivalently, sums of i.i.d. binary variables coded as 1 or 0) follow a 428: 514: 488: 275:... states can be ever superseded by allocating two, three, or four times more bits. So, the use of any other small number than 2 does not provide an advantage. 539: 293:
Moreover, Boolean algebra provides a convenient mathematical structure for collection of bits, with a semantic of a collection of
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and the counts added. For instance, if the set A, A, B is grouped, the total counts are (2, 1): 2 A's and 1 B (out of 3 trials).
697:(8 bits). Hence, "binary data" in computers are actually sequences of bytes. On a higher level, data is accessed in groups of 1 349:. The two values are often referred to generically as "success" and "failure". As a form of categorical data, binary data is 734:. The "text" vs. "binary" distinction can sometimes refer to the semantic content of a file (e.g. a written document vs. a 872: 150:
Binary data occurs in many different technical and scientific fields, where it can be called by different names including
100: 72: 855: 564:; when binary data is converted to count data and modeled as i.i.d. variables (so they have a binomial distribution), 905: 119: 738:). However, it often refers specifically to whether the individual bytes of a file are interpretable as text (see 387: 383: 79: 925: 599:
can be modeled without needing to explicitly model the distribution of the output variable using techniques from
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whose unit can take on only two possible states. These are often labelled as 0 and 1 in accordance with the
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that can take exactly two possible values, such as "A" and "B", or "heads" and "tails". It is also called
653:, binary data refers to any data represented in binary form rather than interpreted on a higher level or 68: 686: 588: 583:
Similarly, counts of i.i.d. categorical variables with more than two categories can be modeled with a
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for the purpose at hand, but remembering that it cannot be assumed to be negligible in general.
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Often, binary data is used to represent one of two conceptually opposed values, e.g.:
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the truth or falsehood of a proposition ("true" or "false", "correct" or "incorrect")
298: 689:. Computers rarely modify individual bits for performance reasons. Instead, data is 809: 804: 713: 604: 439:, but when binary variables are not i.i.d., the distribution need not be binomial. 338: 306: 302: 157: 799: 784: 763: 751: 726: 654: 424: 391: 144: 408: 407:, but the goal is to learn something valuable despite the error: treating it as 758:); contrarily, image data is sometimes represented in textual format (e.g. the 755: 396: 287: 201: 919: 735: 670: 608: 577: 283: 246: 242: 238: 226: 229:
for details. Number of states of a collection of discrete variables depends
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are also well-studied theoretically and easily implementable, either with
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Counts of i.i.d. binary variables follow a binomial distribution, with
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is binary data, with the two classes being 0 (failure) or 1 (success).
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presence or absence of some feature ("is present" or "is not present")
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can be used. The most common regression methods for binary data are
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decimal digits, so information contained in discrete variables with
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into some other form. At the lowest level, bits are stored in a
873:"How do different types of Data get stored in form of 0 and 1?" 706: 702: 666: 635:, representing 1 bit per pixel, as opposed to a typical 24-bit 257: 730:, referring to any sort of data that cannot be interpreted as 272: 256:
bits are more than sufficient to represent an information (a
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on predicted outcomes that are binary variables is known as
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on number of states of each variable. Ten bits have more (
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the total number of trials (points in the grouped data).
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Like categorical data, binary data can be converted to a
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Agresti, Alan (2012). "1.2.2 Multinomial Distribution".
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the outcome of an experiment ("success" or "failure")
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Data whose unit can take on only two possible states
822: 60:. Unsourced material may be challenged and removed. 533: 508: 482: 427:of binary type, meaning with two possible values. 371:the response to a yes–no question ("yes" or "no") 917: 693:in groups of a fixed number of bits, usually 1 490:trials). Going the other way, count data with 297:. Boolean algebra operations are known as " 286:: representation of a Boolean algebra as a 233:on the number of variables, and only as a 180:Mathematical and combinatoric foundations 120:Learn how and when to remove this message 622: 403:). Like all discretization, it involves 277: 895: 843: 831: 429:Independent and identically distributed 14: 918: 618: 58:adding citations to reliable sources 29: 870: 431:(i.i.d.) binary variables follow a 414: 24: 850:(3rd ed.). Wiley. p. 6. 172: 25: 937: 724:is often specifically opposed to 320: 260:or anything else) that requires 34: 45:needs additional citations for 900:(Second ed.). CRC Press. 864: 837: 613:Overdispersion § Binomial 13: 1: 815: 665:. While most binary data has 546: 358: 188:variable that can take only 7: 773: 442: 10: 942: 687:fetch-decode-execute cycle 677:, such as the data within 642: 589:beta-binomial distribution 550: 871:Gul, Najam (2022-08-18). 847:Categorical Data Analysis 762:image format used in the 601:generalized linear models 353:, meaning the values are 204:after 1. That is why the 705:systems and 2 words for 170:and related domains and 896:Collett, David (2002). 355:qualitatively different 345:, and an older term is 301:" in computer science. 295:propositional variables 926:Statistical data types 790:Bernoulli distribution 718:information technology 640: 595:). Alternatively, the 585:multinomial regression 576:, or related types of 535: 510: 484: 433:Bernoulli distribution 290: 898:Modelling Binary Data 675:computer instructions 626: 593:compound distribution 536: 511: 485: 437:binomial distribution 335:statistical data type 281: 141:binary numeral system 669:meaning (except for 525: 494: 468: 405:discretization error 271:, 4, 5, 6, 7, 8, 9, 241:) states than three 192:state contains zero 54:improve this article 679:processor registers 619:In computer science 570:logistic regression 566:binomial regression 558:Regression analysis 509:{\displaystyle n=1} 483:{\displaystyle n=3} 315:digital electronics 210:unit of information 740:character encoding 641: 531: 506: 480: 299:bitwise operations 291: 168:mathematical logic 156:(binary digit) in 795:Boolean data type 661:device such as a 574:probit regression 562:binary regression 553:Binary regression 534:{\displaystyle n} 392:political parties 307:computer programs 303:Boolean functions 130: 129: 122: 104: 16:(Redirected from 933: 911: 887: 886: 884: 883: 868: 862: 861: 841: 835: 829: 810:Qualitative data 805:Categorical data 748:text(ual) format 720:field, the term 714:computer science 605:quasi-likelihood 542: 540: 538: 537: 532: 515: 513: 512: 507: 489: 487: 486: 481: 415:Binary variables 343:dichotomous data 339:categorical data 266: 255: 224: 218: 215:A collection of 158:computer science 125: 118: 114: 111: 105: 103: 62: 38: 30: 21: 941: 940: 936: 935: 934: 932: 931: 930: 916: 915: 914: 908: 891: 890: 881: 879: 869: 865: 858: 842: 838: 830: 823: 818: 800:Computer memory 785:Binary protocol 776: 764:X Window System 727:text-based data 681:decoded by the 647: 621: 555: 549: 526: 523: 522: 520: 495: 492: 491: 469: 466: 465: 445: 425:random variable 421:binary variable 417: 397:dichotomization 359:§ Counting 323: 309:or by so-named 261: 250: 220: 216: 182: 176:in statistics. 173:binary variable 145:Boolean algebra 126: 115: 109: 106: 63: 61: 51: 39: 28: 23: 22: 18:Binary variable 15: 12: 11: 5: 939: 929: 928: 913: 912: 906: 892: 889: 888: 863: 857:978-0470463635 856: 836: 820: 819: 817: 814: 813: 812: 807: 802: 797: 792: 787: 782: 775: 772: 756:Microsoft Word 701:(4 bytes) for 620: 617: 551:Main article: 548: 545: 530: 505: 502: 499: 479: 476: 473: 444: 441: 416: 413: 379: 378: 375: 372: 369: 337:consisting of 322: 319: 288:directed graph 243:decimal digits 219:bits may have 202:natural number 181: 178: 128: 127: 42: 40: 33: 26: 9: 6: 4: 3: 2: 938: 927: 924: 923: 921: 909: 907:9781420057386 903: 899: 894: 893: 878: 877:Curiosity Tea 874: 867: 859: 853: 849: 848: 840: 833: 828: 826: 821: 811: 808: 806: 803: 801: 798: 796: 793: 791: 788: 786: 783: 781: 778: 777: 771: 767: 765: 761: 757: 753: 749: 745: 744:binary format 741: 737: 736:digital image 733: 729: 728: 723: 719: 715: 710: 708: 704: 700: 696: 692: 688: 684: 680: 676: 672: 668: 664: 660: 656: 652: 646: 638: 634: 630: 625: 616: 614: 610: 609:quasibinomial 606: 602: 598: 594: 590: 586: 581: 579: 578:binary choice 575: 571: 567: 563: 559: 554: 544: 528: 517: 503: 500: 497: 477: 474: 471: 461: 459: 454: 450: 440: 438: 434: 430: 426: 422: 412: 410: 406: 402: 398: 393: 389: 385: 382:States, i.e. 376: 373: 370: 367: 366: 365: 362: 360: 356: 352: 348: 344: 340: 336: 332: 328: 321:In statistics 318: 316: 312: 308: 304: 300: 296: 289: 285: 284:Hasse diagram 280: 276: 274: 270: 265: 259: 254: 248: 244: 240: 236: 232: 231:exponentially 228: 227:binary number 223: 213: 211: 207: 203: 199: 195: 191: 187: 177: 175: 174: 169: 165: 164: 159: 155: 154: 148: 146: 142: 138: 134: 124: 121: 113: 102: 99: 95: 92: 88: 85: 81: 78: 74: 71: –  70: 69:"Binary data" 66: 65:Find sources: 59: 55: 49: 48: 43:This article 41: 37: 32: 31: 19: 897: 880:. Retrieved 876: 866: 846: 839: 834:, p. 1. 832:Collett 2002 768: 747: 743: 725: 721: 711: 683:control unit 648: 629:binary image 597:relationship 596: 582: 556: 518: 462: 446: 420: 418: 399:(creating a 380: 363: 351:nominal data 347:quantal data 346: 342: 330: 324: 292: 263: 252: 225:states: see 214: 200:is the next 183: 171: 161: 151: 149: 132: 131: 116: 107: 97: 90: 83: 76: 64: 52:Please help 47:verification 44: 722:binary data 716:and in the 712:In applied 671:don't cares 645:Binary file 611:model; see 331:binary data 311:logic gates 194:information 163:truth value 133:Binary data 882:2023-01-05 816:References 752:doc format 685:along the 649:In modern 643:See also: 637:true color 603:, such as 547:Regression 453:count data 409:negligible 388:Democratic 384:Republican 327:statistics 110:April 2019 80:newspapers 780:Bit array 709:systems. 663:flip-flop 655:converted 651:computers 401:dichotomy 235:power law 920:Category 774:See also 760:X PixMap 754:used by 667:symbolic 659:bistable 580:models. 443:Counting 186:discrete 691:aligned 633:QR code 541:⁠ 521:⁠ 458:grouped 94:scholar 904:  854:  707:64-bit 703:32-bit 639:image. 607:and a 449:vector 258:number 196:, and 96:  89:  82:  75:  67:  631:of a 423:is a 333:is a 101:JSTOR 87:books 902:ISBN 852:ISBN 746:and 732:text 699:word 695:byte 247:1000 239:1024 143:and 137:data 73:news 766:). 591:(a 451:of 386:or 325:In 313:in 249:). 206:bit 190:one 166:in 153:bit 135:is 56:by 922:: 875:. 824:^ 627:A 615:. 572:, 419:A 361:. 329:, 282:A 273:10 251:10 212:. 184:A 160:, 147:. 910:. 885:. 860:. 529:n 504:1 501:= 498:n 478:3 475:= 472:n 269:3 264:k 262:3 253:k 245:( 222:2 217:n 198:2 123:) 117:( 112:) 108:( 98:· 91:· 84:· 77:· 50:. 20:)

Index

Binary variable

verification
improve this article
adding citations to reliable sources
"Binary data"
news
newspapers
books
scholar
JSTOR
Learn how and when to remove this message
data
binary numeral system
Boolean algebra
bit
computer science
truth value
mathematical logic
binary variable
discrete
one
information
2
natural number
bit
unit of information
2
binary number
exponentially

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