Vedic Mathematics- Vinculum Numbers

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DefinitioDefinition:n: Vinculum numbers are a mixture of positive digits and

negative digits in the same number.

Two sutras are used to convert Vinculum to Normal.

“Nikhilam navatascaramam dasatah” “Ekanyunena purvena”

Note: Using Vinculum numbers, numbers which have digits greater than5 can be reduced to numbers which have all digits less than or equal to 5.


Algorithm:Take complement of bar (negative) digits.

Subtract one from the digit preceding the bar digit(s).

Note: Only digits that have a bar on them are converted to natural numbers. 0 =0. This can be used to make the conversion simpler,.


Vinculum To Normal:Find Normal No of 2 1

91Complement of 1=9

Previous digit -1=2-1=1

Ans: 19

Sutra: “Ekanyunena purvena”

2 1


Find Normal No of = 3 1 2

22 9Next no of bar digit no change then 2=2

Complement of 1 is 9

Previous digit 3-1=2

Ans: 292

3 1 2


Find Normal No of = 3 0 2 1

3 0 2 1

(0 is left to a bar no extend the bar to zero also)

Complement of 02=98

Previous of 02 is 3,so 3-1=2

All other places are retained as they are then 1=1

Ans: 2981

19 823 0 2 1


Find Normal No of = 3 4 2 1 3

6 9

3 4 2 1 3

2 1 3

9 is Complement of 1 & 6 is Complement of 4

Previous digits 3&2 are reduced by 1,so2&1

All other places are retained as they are then 3=3

Ans: 26193


Normal To VinculumFind Vinculum No of 19

12

Here 9 is the bigger digit (Complement of 9=1 )

1 added to the previous digit then 1+1=2

Ans: 21

Sutra: “Ekadhikena Purvena “

1 9


Find Vinculum No of 387

1 34

Complement of 87 is 13


Ans: 413

3 8 7



1 33 2

Complement of 9&7 in their respective position

1 added to the left position of the Complement no

Ans: 3123

2 9 1 7



0 32 3

03 is complement of 97


Other digits retained as they are 3=3

Ans: 2033

1 9 7 3


Find Vinculum & Normal of the following numbers :

326344042

23144

285743962

17064

491893826

2894

512114234

3114

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Vedic Mathematics- Vinculum Numbers

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