# What is modulus exponent?

## What is modulus exponent?

Modular exponentiation is the remainder when an integer b (the base) is raised to the power e (the exponent), and divided by a positive integer m (the modulus); that is, c = be mod m. Modular exponentiation is efficient to compute, even for very large integers.

### How do I find m mod?

1. Start by choosing the initial number (before performing the modulo operation).
2. Choose the divisor.
3. Divide one number by the other, rounding down: 250 / 24 = 10 .
4. Multiply the divisor by the quotient.
5. Subtract this number from your initial number (dividend).

#### What is the order of 2 modulo 11?

10, so it can be 1, 2,5 OR 10. we know 20= 1 mod Il by Euler’s Theorem Cor Permat’s since it is prime), so the Order of 2 modulo 11 is 10.

How do I get mod 13?

The modulus method requires us to first find out what the highest common multiple of the Divisor (13) is that is equal to or less than the Dividend (3). We can see that multiples of 13 are 0, 13, 26, 39, etc. The highest multiple that is less than or equal to 3 is 0.

How do you fix mod problems?

How to calculate the modulo – an example

1. Start by choosing the initial number (before performing the modulo operation).
2. Choose the divisor.
3. Divide one number by the other, rounding down: 250 / 24 = 10 .
4. Multiply the divisor by the quotient.
5. Subtract this number from your initial number (dividend).

## What does mod mean in maths?

modulus
Given two positive numbers a and n, a modulo n (abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. The modulo operation is to be distinguished from the symbol mod, which refers to the modulus (or divisor) one is operating from.

### What is the modulus of modular exponentiation?

The operation of modular exponentiation calculates the remainder when an integer b (the base) raised to the e th power (the exponent), be, is modulated over a positive integer m (the modulus). In symbols, given base b, exponent e, and modulus m, the modular exponentiation c is: c = be mod m.

#### How to get the modulus and public exponent of a string?

The modulus and public exponent are in the last BIT STRING, offset 19, so use -strparse: This will give you the modulus and the public exponent, in hexadecimal (the two INTEGERs): That’s probably fine if it’s always the same key, but this is probably not very convenient to put in a script.

How do you find the modular exponent of 445?

The most direct method of calculating a modular exponent is to calculate be directly, then to take this number modulo m. Consider trying to compute c, given b = 4, e = 13, and m = 497 : One could use a calculator to compute 4 13; this comes out to 67,108,864. Taking this value modulo 497, the answer c is determined to be 445.

What is modular exponentiation used for In cryptography?

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 e th power (the exponent), be, is modulated over a positive integer m (the modulus).