Modulo Calculator – Find Modulo of Two Numbers

The Modulo calculator is a free online tool to calculate the Modulo(Dividend % Divisor). This geeks for geeks online Modulo calculator makes the calculation faster and it displays the calculation in a fraction of a second. It is an easy-to-use general-purpose calculator that makes it a versatile tool, suitable for a wide range of applications, from engineering to academics. It again helps students and working professionals solve various day-to-day problems.

To calculate a mod b, which is for positive numbers, simply find the remainder of a divided by b in a division problem. This modulo operation helps to determine the remainder. For instance, if you were dividing a by b and there was a remainder of n, then the result of a mod b would be n.

What Is Modulo?

• The modulo operation finds the remainder when the dividend ‘a’ is divided by the divisor ‘b’.
• Mathematically, it is represented as: (a \mod b = r), where ‘r’ is the remainder.

For example:

– If you need to find (13 \mod 5), divide 13 by 5:

(13 \div 5 = 2) with a remainder of 3.

Therefore, (13 \mod 5 = 3).

What does a % b represents:

It is the remainder of a divided by b in a division problem.

a % b = r, where r is the remainder when a is divided by b.

How to Do a Modulo Calculation:

The modulo operation finds the remainder of a divided by b. To do this by hand just divide two numbers and note the remainder. If you need to find 13 mod 5, divide 13 by 5.

• 13 mod 5 = ?
• 13 ÷ 5 = 2 with a remainder of 3
• 13 mod 5 = 3

Validate the remainder by using below equation:

Quotient × Divisor + Remainder = Dividend

• Divide a by b to find the remainder.
• 13 ÷ 5 = 2 R3, 2 is the dividend and 3 is the remainder
• Confirm the answer satisfies the equation:
• Quotient × Divisor + Remainder = Dividend
• 2 × 5 + 3 = 13

Why Use the Modulo Operation?

• Modulo has various applications, from computer science to engineering.
• It helps solve day-to-day problems for students and professionals.
• Whether you’re calculating checksums, handling cyclic patterns, or optimizing algorithms, modulo plays a crucial role.

Conclusion

Modulo calculator is a basic calculator, a free online tool prepared by GeekforGeeks that calculate the modulo. It is a fast and easy-to-use tool that helps students in solving various problems.