Number System ---> Tn-System (Introduction)

     Number / Numeral System problems are very common in most of the competitive examinations like GMAT, CAT, CET etc. Most of the students find it difficult to solve the problems of this topic. but i love to solve the problems on this topic. i am also building problems on this topic. 

     

     Problems of this topic are mostly similar to those problems which are asked in Xth standard exams (CBSE Board). Only added difficulty is to visualize and solve the problem in a system in which symbols that represents unit digits are more, less or equal to the base 10. 

Such type of problems can be easily solved by using Tn-System.  

Tn-system is proposed "by Vijay Kumar Haldiya, Scientist" as an idea to bridge representation gap between Numbers, of any numeral system, and equation of single variable. This system represents numbers and equations of a single variable in similar manner. This system works like catalyst which increases the solving speed. This work may help to make math less confusing specially when dealing with numbers in other numeral system or single variable equations.

i have tried to find out that such type of work is given by anyone on the internet but no success please let me know if such type of work is already been done by anybody else. Till then i am giving the credit of this system to Mr Vijay Kumar Haldiya.

 In Tn-system “Tn” is borrowed from “Transform and Ten”. Tn-system represents an expression of a number or single variable equation which consist decimal coefficients in any base system, i.e. irrespective of the base value the number is represented by decimal integers and a sign “|”, named “T”.

This system helps to understand calculation, i.e. addition, subtraction, multiplication, conversion etc., in any numeral system by converting methods universally applicable.

wait for the next post in which i will define the Tn-system and tell how to solve the problem given below:


Examples
      1)    If (ABC)_D = (A*D² + B* D + C)₁₀ then find the odd man out among the following numbers :

(1) (196)₁₅       (2) (169)₁₄       (3) (144)₁₃       (4) (121)₁₂       (5) (100)₁₁

2)    If (X² + 1)₁₀ (X² –X + 1)₁₀ = (6161)_7. Find the value of X:

(1)5                 (2) 6                (3) 7                (4) 8                (5) 9

Keywords : Tn-System, Numeral system, Number system, Problems