number system

Question

A particular number system has 18 symbols from 0 to 9 , A,S,C,D,E,F,G and T. If two numbers GATE and CSE are given to the adder the output of the adder is

a) G7CA

b) T76C

c) T7CA

d) T5SA

Comments

Very random: inserting 0 at the end multiplies by the base!

Answer 1

As in a new number system created with radix 18 (0-9, A,S,C,D,E,F,G and T)

A -10,S-11...T-17

So 

GATE --> 16 10 17 14

CSE -->          12 11 14

^{-------------------------------------------}

T5SA <--   17 5 11 10

So option d is correct 

Comments

please explain it in details.

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