Question

Number systems conversion question:

Answer 1

Is there any trick to convert between number systems ? I am not allowed to use the calculator so it's kinda difficult for
e.x:

D78543 (Hex to decimal) = D * 16^5 +7 * 16^4 + 8 ^ 16^3 + 5 ^ 16^2 + 4 * 16^1+ 3 * 16^0

Even I don't know how much is 16^5

Answer 2

o.e

Answer 3

baru is a math magician lol

Answer 4

i wish :p

Answer 5

@Michele_Laino

Answer 6

you can compute \(16^5\) by hand, it is not difficult

Answer 7

Exam time : 10 min , 10 questions, 1 min each Surely computing it will overtake the allowed period.

Answer 8

ok! I understand

Answer 9

I tried to search for a trick for this and found this name Raghavendra Lingayya but couldn't dig further.

Answer 10

you can try to memorize the first powers of \(16\)

Answer 11

if your desperate enough, just mug the higher powers of 16 and go :P

Answer 12

lol

Answer 13

@baru , xD I will fail the exam.

Raghavendra allege that he got a method to solve this in seconds http://numbersystems.blogspot.com.eg/2007/09/number-systems.html

Well, I neither found nor understood it.

Answer 14

Ok, any division tricks , multiplication trick ?

That's the life moving from inverse function and integration to long division and power :(

Answer 15

I'm sorry, I don't know R-analysis

Answer 16

No other method ? Or at least tell me how to divide 63933 over 16 easily.

Answer 17

I'm able to compute that division by hand only, I'm very sorry :(

Answer 18

Ok, how ?

Answer 19

Many years ago I start to study computer science, with Commodore 64. I had to read a little manual, wherein it was necessary to memorize the powers of \(2\), so I started to memorize them, and I know, for example which:
\(2^{16}=65536\) so your number is not divisible by \(16\)
thatis my knowledge

Answer 20

Yeah, I am supposed to divide it over 16 and keep the reminder.

Answer 21

theres a book you can learn math tricks

Answer 22

surprisingly cheap

Answer 23

maybe there is a divisibility criteria by 16

Answer 24

@KnightOfPentacles , Throw that piece of pellet to me, if it works with number systems.

@Michele_Laino , multi-knowledge xD

Answer 25

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Answer 26

yes! lol :) @TrojanPoem

Answer 27

you can go far beyond doing the math its just triple the work lol....

Answer 28

straight memorization

Answer 29

Check this: