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1301:{\displaystyle (A<B)={\overline {A}}_{3}B_{3}+x_{3}{\overline {A}}_{2}B_{2}+x_{3}x_{2}{\overline {A}}_{1}B_{1}+x_{3}x_{2}x_{1}{\overline {A}}_{0}B_{0}}
1088:{\displaystyle (A>B)=A_{3}{\overline {B}}_{3}+x_{3}A_{2}{\overline {B}}_{2}+x_{3}x_{2}A_{1}{\overline {B}}_{1}+x_{3}x_{2}x_{1}A_{0}{\overline {B}}_{0}}
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In order to manually determine the greater of two binary numbers, we inspect the relative magnitudes of pairs of significant digits, starting from the
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form and determines whether one number is greater than, less than or equal to the other number. Comparators are used in
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Since the numbers are binary, the digits are either 0 or 1 and the boolean function for equality of any two digits
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One-bit binary full comparator, equality, inequality, greater than, less than at gate level. Created using
Logisim.
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The binary numbers A and B will be equal if all the pairs of significant digits of both numbers are equal, i.e.,
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160:(MCUs). Examples of digital comparator include the CMOS 4063 and 4585 and the TTL 7485 and 74682.
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The binary variable (A=B) is 1 only if all pairs of digits of the two numbers are equal.
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is a basic comparator, because its output is "1" only if its two input bits are equal.
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have analog comparators on some of their inputs that can be read or trigger an
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649:{\displaystyle x_{i}=A_{i}B_{i}+{\overline {A}}_{i}{\overline {B}}_{i}}
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So the equality condition of A and B can be implemented using the
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Here each subscript represents one of the digits in the numbers.
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Digital electronic component which compares two binary numbers
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alternative comparator without using XNOR (using NOR gate)
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This sequential comparison can be expressed logically as:
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electronic device that takes two numbers as input in
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202:Consider two 4-bit binary numbers A and B so
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857:{\displaystyle (A=B)=x_{3}x_{2}x_{1}x_{0}}
117:Learn how and when to remove this message
1372:Digital Comparators by Texas Instruments
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204:
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174:equivalent of digital comparator is the
1350:List of 7400 series integrated circuits
1341:List of 4000 series integrated circuits
1379:
332:{\displaystyle B=B_{3}B_{2}B_{1}B_{0}}
268:{\displaystyle A=A_{3}A_{2}A_{1}A_{0}}
198:Digital comparator using multiplexers
1332:List of LM-series integrated circuits
780:variables (for i=0,1,2,3) must be 1.
51:adding citations to reliable sources
18:
1310:(A>B) and (A < B) are output
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504:{\displaystyle A_{0}=B_{0}}
464:{\displaystyle A_{1}=B_{1}}
424:{\displaystyle A_{2}=B_{2}}
384:{\displaystyle A_{3}=B_{3}}
131:comparator (disambiguation)
10:
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656:we can also replace it by
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142:magnitude comparator
129:For other uses, see
66:"Digital comparator"
47:improve this article
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68: –
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62:Find sources:
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32:This article
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107:January 2024
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80:
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61:
45:Please help
33:
1346:7400 series
1337:4000 series
750:are equal.
156:(CPUs) and
1361:References
870:Inequality
77:newspapers
1278:¯
1218:¯
1168:¯
1128:¯
1075:¯
1015:¯
965:¯
925:¯
636:¯
619:¯
184:interrupt
165:XNOR gate
34:does not
1381:Category
1326:See also
660:gate in
345:Equality
178:. Many
146:hardware
695:only if
91:scholar
55:removed
40:sources
172:analog
150:binary
93:
86:
79:
72:
64:
693:is 1
471:and
144:is a
98:JSTOR
84:books
1110:<
897:>
723:and
658:XNOR
540:and
170:The
70:news
38:any
36:cite
785:AND
163:An
140:or
49:by
1383::
1348:,
1339:,
664:.
431:,
391:,
186:.
136:A
1294:0
1290:B
1284:0
1275:A
1267:1
1263:x
1257:2
1253:x
1247:3
1243:x
1239:+
1234:1
1230:B
1224:1
1215:A
1207:2
1203:x
1197:3
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1189:+
1184:2
1180:B
1174:2
1165:A
1157:3
1153:x
1149:+
1144:3
1140:B
1134:3
1125:A
1119:=
1116:)
1113:B
1107:A
1104:(
1081:0
1072:B
1064:0
1060:A
1054:1
1050:x
1044:2
1040:x
1034:3
1030:x
1026:+
1021:1
1012:B
1004:1
1000:A
994:2
990:x
984:3
980:x
976:+
971:2
962:B
954:2
950:A
944:3
940:x
936:+
931:3
922:B
914:3
910:A
906:=
903:)
900:B
894:A
891:(
850:0
846:x
840:1
836:x
830:2
826:x
820:3
816:x
812:=
809:)
806:B
803:=
800:A
797:(
766:i
762:x
736:i
732:B
709:i
705:A
679:i
675:x
642:i
633:B
625:i
616:A
610:+
605:i
601:B
595:i
591:A
587:=
582:i
578:x
553:i
549:B
526:i
522:A
497:0
493:B
489:=
484:0
480:A
457:1
453:B
449:=
444:1
440:A
417:2
413:B
409:=
404:2
400:A
377:3
373:B
369:=
364:3
360:A
325:0
321:B
315:1
311:B
305:2
301:B
295:3
291:B
287:=
284:B
261:0
257:A
251:1
247:A
241:2
237:A
231:3
227:A
223:=
220:A
133:.
120:)
114:(
109:)
105:(
95:·
88:·
81:·
74:·
57:.
43:.
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