Recommended
More Related Content
What's hot
What's hot (20)
Viewers also liked
Similar to Vedic Mathematics- Vinculum Numbers
Similar to Vedic Mathematics- Vinculum Numbers (20)
More from culturalcomputingindia
More from culturalcomputingindia (8)
Recently uploaded
Recently uploaded (20)
Vedic Mathematics- Vinculum Numbers
- 1. Vedic Mathematics Cultural Computing Initiatives www.culturalcomputingindia.com
- 2. www.culturalcomputingindia.com Definition:Definition: 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.
- 3. www.culturalcomputingindia.com 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,.
- 4. www.culturalcomputingindia.com Vinculum To Normal: Find Normal No of 2 1 91 Complement of 1=9 Previous digit -1=2-1=1 Ans: 19 Sutra: “Ekanyunena purvena” 2 1
- 5. www.culturalcomputingindia.com Find Normal No of = 3 1 2 22 9 Next no of bar digit no change then 2=2 Complement of 1 is 9 Previous digit 3-1=2 Ans: 292 3 1 2
- 6. www.culturalcomputingindia.com 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 82 3 0 2 1
- 7. www.culturalcomputingindia.com 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
- 8. www.culturalcomputingindia.com Normal To Vinculum Find 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
- 9. www.culturalcomputingindia.com Find Vinculum No of 387 1 34 Complement of 87 is 13 1 added to the previous digit then 3+1=4 Ans: 413 3 8 7
- 10. www.culturalcomputingindia.com Find Vinculum No of 2917 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
- 11. www.culturalcomputingindia.com Find Vinculum No of 1973 0 32 3 03 is complement of 97 1 added to the previous digit then 1+1=2 Other digits retained as they are 3=3 Ans: 2033 1 9 7 3
- 12. www.culturalcomputingindia.com Find Vinculum & Normal of the following numbers 32 634 4042 23144 28 574 3962 17064 49 189 3826 2894 51 211 4234 3114 1) 2) 3) 4) 5) 6) 7) 8)