How do you find the last digit of AB?

How do you find the last digit of AB?

Algorithm :

1. If b%4==0 that means b is completely divisible by 4, so our exponent now will be exp = 4 because by multiplying number 4 times, we get the last digit according to cycle table in above diagram.
2. If b%4!=
3. Now calculate ldigit = pow( last_digit_in_base, exp ).
4. Last digit of a^b will be ldigit.

How do you find the mod of a very large number?

How to compute mod of a big number?

1. How to compute mod of a big number?
2. Modulo 10^9+7 (1000000007)
3. Find most significant set bit of a number.
4. Position of rightmost set bit.
5. Position of rightmost different bit.
6. Check whether K-th bit is set or not.
7. Check whether the bit at given position is set or unset.

What is the last digit of 6 100?

Hence the cyclicity of 6 is 1, so the last digit of 6100 will be 6.

What is the last digit of 5 Power 2020?

Answer: the last digit of 5 to the power of 2020 is 25 because 5^6=78125 you will observe that any number will have 25 as the last two digits. And the pattern will repeat till 5^100.

What is the last digit of 7 300?

in powering or multiplying 7 with itself, pattern repeats as 7,9,3,1,7. Which means, 7 repeats after every 4th interval, and since 4*75=300 is also a multiple of 4 thus 7^300 should end with 1 only.

How to find the last digit of a large number?

Example: 2*2 = 4*2 = 8*2 = 16*2 = 32 last digit in 32 is 2 that means after multiplying 4 times digit repeat itself. So the algorithm is very simple . Since number are very large we store them as a string. Take last digit in base a.

How to find ( a ^ B ) M where’a’is very large?

Given three numbers a, b and m where 1<=b,m<=10^6 and ‘a’ may be very large and contains upto 10^6 digits. The task is to find (a^b)%m. Recommended: Please solve it on “ PRACTICE ” first, before moving on to the solution.

Which is the last digit of a ^ B?

Last digit of a^b will be ldigit%10. Below is the implementation of above algorithm.

Which is the last digit of the product of two numbers?

Approach: In general, the last digit of multiplication of 2 numbers a and b is the last digit of the product of the LSB of these two numbers. Time Complexity: O (1).