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]
Answer
309
Question 2
Question
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]
Answer
40
20
10
5
2
81
10100011
3
2
1
1
3
4
1123
243
2
Question 3
Question
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]
Answer
1
1
1
3
2
3
233111
605
121
24
4
44104
5
5
5
1
1
11555
336
37
4
4135
Question 4
Question
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]
Answer
103
51
25
12
6
3
0
0
2
2
1
21200
2
1
1
3
1312
4
4
1
414
0
2
5
250
Question 5
Question
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]
Answer
0
1
1
0
0
1
38
4
16
64
141
8
64
512
839
Question 6
Question
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]
Answer
2
0
2
1
47
5
25
125
271
9
81
729
1.137
Question 7
Question
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]