Quick Vedic Maths Trick For Binary Subtraction

Quick Vedic Maths Trick For Binary Subtraction

Subtraction is the very common and important part of Mathematics. The traditional western technique that we have learned in our schools is complex because of the carry and borrow thing. With Vedic Maths you can do subtraction very easily without  having to worry about this carry and borrow things.  There are two categories of substation in Vedic mathematics

1. Subtraction of any number from bases

2. General Subtraction

Case 1: Subtraction of number from its base

For subtraction of number from a base number will use the sutra ‘All from 9 and last from 10′  which we have used to find the complement. For example to subtract 3246 from 10000 , we will simply calculate the complement of 3246 by applying the formula All from 9 and last from 10 .

So 10000-3246 = 6754   ( 9-3,9-2, 9-4. 10-6)

As you can see here this method removes the mental  strain of borrowing

You should note here that this method is applicable when the number of digits in the number to be subtracted is equal to the number of 0′s in the base.

Case 2: Subtraction of a number from a bigger base

If you have to subtract a number from a bigger base then make the number of digits in the number to be subtracted equal to the number of 0′s in the base by adding the required 0′s to the  beginning of the number.

lets say we have to subtract 24 from 10000 , as base here has four zeros and 24 is a two digit number we will put two 0′s in front of 24 so the calculation actually becomes 10000 -0024 , now we can apply the same ‘all from 9 and last from 10′ formula to get the answer as 9976 , the addition of 0′s can be done mentally.

case 3: When the number involves decimals 

In case of decimals also the same formula is applied, only thing we have to check is that the number of digits before the decimal should be equal to the number of 0′s in the base, if they are not then we have to append the 0′s in front

for example if we have to solve 1000- 24.35 , then we will actually solve 1000-024.35 , by applying the same ‘all from 9 and last from 10′ we get the answer as 975.65

Case 4: Subtraction of number from multiple  of bases 

When we have to do subtraction of numbers from multiple of bases like 200, 4000, 8000 etc then we will simply split the number to the nearest base. Lets see with an example

600 – 63

we will split this calculation as 500+100 – 63  and solve it as 500+(100-63) using the same technique to get 500+37 = 537 as answer. You can make it faster by simply reducing 1 from the  multiple of base mentally and then write the complement of the number as answer. Lets take another example to understand it.

4000 – 248

Reduce 1 from 4 to get 3 at thousand’s place

Write the complement of 248 as 752

so 4000- 248 = 3752

Case 5: When both the numbers have same number of digits 

In this case subtract the digits on the left most side of both the numbers and further reduce it by one and finally take the complement of the other digit of the number to be subtracted

Example 8000 – 4246

subtracting left most digits of both the number i.e. 8-4 = 4

on further subtracting 1 we get 4-1 = 3

taking of complement of 246 we get 754

so our final answer becomes 3754

I hope you have understood this basic subtraction technique of vedic mathematics , if you are having any problem anywhere let us know in comments and we will help you to solve it.  In the next post we will see the advance subtraction technique.