Quantitative Aptitude - 194 base 10= ___ base 5The base 5 representation of the decimal number 2048 is_____

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Quantitative Aptitude | Question 23 of 45

194 base 10= ___ base 5

The base 5 representation of the decimal number 2048 is______

Total Answers and Comments: 4

Last Update: October 12, 2007 Asked by: ashish

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August 21, 2006 02:22:58

sumit gupta

RE: 194 base 10= ___ base 5The base 5 repr...

Ans. is 1234.

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September 22, 2006 07:40:34

Vivek Shah

RE: 194 base 10= ___ base 5The base 5 repr...

194 base 10= ___ base 5 is 1234

&The base 5 representation of the decimal number 2048 is 31143

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October 12, 2006 01:39:04

SARAVANAPRIYA

Member Since: October 2006 Contribution: 1

RE: 194 base 10= ___ base 5The base 5 repr...

how you got the answer

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October 12, 2007 09:40:51

madhu

RE: 194 base 10= ___ base 5The base 5 repr...

2048 to base 10:-

2 ["add" the next (first) digit]
2 * 10 = 20 [multiply by the base]
20 + 0 = 20 [add the next digit]
20 * 10 = 200 [multiply by the base]
200 + 4 = 204 [add the next digit]
204 * 10 = 2040 [multiply by the base]
2040+ 8 = 2048 [add the next digit]

??? to base 5:-
3
3* 5 = 15 [multiply by the base]
15+1 = 16 [add the next digit]
16* 5 = 80 [multiply by the base]
80+ 1 = 81 [add the next digit]
81* 5 = 405 [multiply by the base]
405+ 4 = 409 [add the next digit]
409*5 = 2045
2045+3 = 2048

since both the answers tally i.e., 2048==2048

hence the no. 31143 is the ans..

try solving with the answers(options given with the ques) given..

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