Zusammenfassung der Ressource
Frage 1
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Paso de NÚMERO en base DECIMAL a otras BASES...
==========================================
DIVISIÓN entera del NÚMERO entre la BASE.
RESULTADO: Último COCIENTE con los RESTOS obtenidos (Del último al primero).
EJEMPLO. NÚMERO: [ 309 ] a base 4:
309/4 = 77(1)/4 = 19(1)/4 = 4(3)/4 = 1(0) >>> 10311
Paso de BASE a NÚMERO en base DECIMAL ...
=====================================
Se SUMAN los PRODUCTOS de cada CIFRA por POTENCIAS de la BASE.
EJEMPLO. [ 10311 ] en base 4 a base 10:
1+4¹+3·4²+0·4³+1·4⁴ = 1+4+48+0+256 = [blank_start]309[blank_end]
Frage 2
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NÚMERO: 1 6 3
=============
En base 2 => [163/2] = [blank_start]81[blank_end](1)/2 = [blank_start]40[blank_end](1)/2 = [blank_start]20[blank_end](0)/2 = [blank_start]10[blank_end](0)/2 = [blank_start]5[blank_end](0)/2 = [blank_start]2[blank_end](1)/2 = 1(0)
... >>> [blank_start]10100011[blank_end]
En base 5 => [163/5] = 32([blank_start]3[blank_end])/5 = 6([blank_start]2[blank_end])/5 = [blank_start]1[blank_end]([blank_start]1[blank_end])
... >>> [blank_start]1123[blank_end]
En base 8 => [163/8] = 20([blank_start]3[blank_end])/8 = [blank_start]2[blank_end]([blank_start]4[blank_end])
... >>> [blank_start]243[blank_end]
Antworten
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40
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20
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10
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5
-
2
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81
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10100011
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3
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2
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1
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1
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3
-
4
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1123
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243
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2
Frage 3
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NÚMERO: 3.029
=============
En base 4 => [3.029/4] = 757([blank_start]1[blank_end])/4 = 189([blank_start]1[blank_end])/4 = 47([blank_start]1[blank_end])/4 = 11([blank_start]3[blank_end])/4 = [blank_start]2[blank_end]([blank_start]3[blank_end])
... >>> [blank_start]233111[blank_end]
En base 5 => [3.029/5] = [blank_start]605[blank_end](4)/5 = [blank_start]121[blank_end](0)/5 = [blank_start]24[blank_end](1)/5 = [blank_start]4[blank_end](4)
... >>> [blank_start]44104[blank_end]
En base 7 => [3,029/7] = 432([blank_start]5[blank_end])/7 = 61([blank_start]5[blank_end])/7 = 8([blank_start]5[blank_end])/7 = [blank_start]1[blank_end]([blank_start]1[blank_end])
... >>> [blank_start]11555[blank_end]
En base 9 => [3.029/9] = [blank_start]336[blank_end](5)/9 = [blank_start]37[blank_end](3)/9 = [blank_start]4[blank_end](1)
... >>> [blank_start]4135[blank_end]
Antworten
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1
-
1
-
1
-
3
-
2
-
3
-
233111
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605
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121
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24
-
4
-
44104
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5
-
5
-
5
-
1
-
1
-
11555
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336
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37
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4
-
4135
Frage 4
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NÚMERO: 2 0 7
=============
En base 2 => [207/2] = [blank_start]103[blank_end](1)/2 = [blank_start]51[blank_end](1)/2 = [blank_start]25[blank_end](1)/2 = [blank_start]12[blank_end](1)/2 = [blank_start]6[blank_end](0)/2 = [blank_start]3[blank_end](0)/2 = 1(1)
... >>> 1100 1111
En base 3 => [207/3] = 69([blank_start]0[blank_end])/3 = 23([blank_start]0[blank_end])/3 = 7([blank_start]2[blank_end])/3 = [blank_start]2[blank_end]([blank_start]1[blank_end])
... >>> [blank_start]21200[blank_end]
En base 5 => [207/5] = 41([blank_start]2[blank_end])/5 = 8([blank_start]1[blank_end])/5 = [blank_start]1[blank_end]([blank_start]3[blank_end])
... >>> [blank_start]1312[blank_end]
En base 7 => [207/7] = 29([blank_start]4[blank_end])/7 = [blank_start]4[blank_end]([blank_start]1[blank_end])
... >>> [blank_start]414[blank_end]
En base 9 => [207/9] = 23([blank_start]0[blank_end])/9 > [blank_start]2[blank_end]([blank_start]5[blank_end])
... >>> [blank_start]250[blank_end]
Antworten
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103
-
51
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25
-
12
-
6
-
3
-
0
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0
-
2
-
2
-
1
-
21200
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2
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1
-
1
-
3
-
1312
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4
-
4
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1
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414
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0
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2
-
5
-
250
Frage 5
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PASO a BASE DECIMAL ...
====================
100110 en base 2 => [blank_start]0[blank_end]+[blank_start]1[blank_end]·2+[blank_start]1[blank_end]·4+[blank_start]0[blank_end]·8+[blank_start]0[blank_end]·16+[blank_start]1[blank_end]·32 = [blank_start]38[blank_end]
2031 en base 4 => 1+3·[blank_start]4[blank_end]+0·[blank_start]16[blank_end]+2·[blank_start]64[blank_end] = [blank_start]141[blank_end]
1507 en base 8 => 7+0·[blank_start]8[blank_end]+5·[blank_start]64[blank_end]+1·[blank_start]512[blank_end] = [blank_start]839[blank_end]
Antworten
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0
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1
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1
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0
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0
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1
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38
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4
-
16
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64
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141
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8
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64
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512
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839
Frage 6
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PASO a BASE DECIMAL ...
====================
1202 en base 3 => [blank_start]2[blank_end]+[blank_start]0[blank_end]·3+[blank_start]2[blank_end]·9+[blank_start]1[blank_end]·27 = [blank_start]47[blank_end]
2041 en base 5 => 1+4·[blank_start]5[blank_end]+0·[blank_start]25[blank_end]+2·[blank_start]125[blank_end] = [blank_start]271[blank_end]
1503 en base 9 => 3+0·[blank_start]9[blank_end]+5·[blank_start]81[blank_end]+1·[blank_start]729[blank_end] = [blank_start]1.137[blank_end]
Antworten
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2
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0
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2
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1
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47
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5
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25
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125
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271
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9
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81
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729
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1.137
Frage 7
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PASO a BASE DECIMAL ...
====================
310 en base 4 => 0+1·[blank_start]4[blank_end]+3·[blank_start]16[blank_end] = [blank_start]52[blank_end]
1402 en base 5 => [blank_start]2[blank_end]+[blank_start]0[blank_end]·5+[blank_start]4[blank_end]·25+[blank_start]1[blank_end]·125 = [blank_start]227[blank_end]
3057 en base 9 => 7+5·[blank_start]9[blank_end]+0·81+3·[blank_start]729[blank_end] = [blank_start]2.239[blank_end]
Antworten
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4
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16
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52
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2
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0
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4
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1
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227
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9
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729
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2.239
Frage 8
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SISTEMA BINARIO [5 CIFRAS]...
Antworten
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00100
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10100
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10000
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01011
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10101
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11110
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01110
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11001
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00111
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10111
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01010
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01001
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00001
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10010
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11000
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11101
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11011
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01100
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10110
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00110
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01101
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00101
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00011
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10011
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11100
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00010
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11010
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01000
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01111
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10001