What is BigInteger modPow?
What is BigInteger modPow?
BigInteger. modPow() method returns a BigInteger whose value is (thisexponent mod m ). If exponent == 1, the returned value is (this mod m) and if exponent < 0, the returned value is the modular multiplicative inverse of (this-exponent). The method throws an ArithmeticException if m <= 0.
What is modular exponentiation used for?
It is useful in computer science, especially in the field of public-key cryptography. The operation of modular exponentiation calculates the remainder when an integer b (the base) raised to the eth power (the exponent), be, is divided by a positive integer m (the modulus).
What is PowerMod?
PowerMod is also known as modular exponentiation. Mathematical function, suitable for both symbolic and numerical manipulation. Typically used in modular arithmetic, cryptography, random number generation and cyclic operations in programs.
How do you do modular Exponentization?
How can we calculate A^B mod C quickly for any B ?
- Step 1: Divide B into powers of 2 by writing it in binary. Start at the rightmost digit, let k=0 and for each digit:
- Step 2: Calculate mod C of the powers of two ≤ B. 5^1 mod 19 = 5.
- Step 3: Use modular multiplication properties to combine the calculated mod C values.
What is a BigInteger?
BigInteger class is used for mathematical operation which involves very big integer calculations that are outside the limit of all available primitive data types. For example factorial of 100 contains 158 digits in it so we can’t store it in any primitive data type available.
What defines a BigInteger?
How many digits can BigInteger hold?
Now that we are able to represent numerical numbers using Strings, we have raised the maximum number we can initialize a big integer to a number with 2147483647 digits. This is because the maximum length of a String is Integer. MAX_VALUE.
Is BigInteger bigger than long?
BigInteger is capable of holding far bigger numbers than Long. BigInteger seems capable of holding (2 ^ 32) ^ Integer. MAX_VALUE, though that depends on the implementation (and, even if truly unbounded in the implementation, there will eventually be a physical resource limit) See explanation here.