Modular Arithmetic Calculator

How to Use the Modular Arithmetic Calculator

This Modular Arithmetic Calculator allows you to perform various operations involving modular arithmetic. Follow the steps below to use the calculator effectively.

Step 1: Enter the First Number

• Locate the field labeled Number.
  • Enter a number between -1,000,000 and 1,000,000.
  • This is the primary number on which the operation will be performed.
  • The input for this field is required, so make sure you enter a valid number.

Step 2: Enter the Modulus

• Locate the field labeled Modulus.
  • Enter a modulus between 1 and 1,000,000.
  • This number will be used as the divisor in the modulo operation.
  • The input for this field is required, so do not leave it blank.

Step 3: Choose the Operation

• Locate the field labeled Operation.
  • Select the operation you want to perform from the dropdown menu:
  • Modulo – computes the remainder of the division of the number by the modulus.
  • Addition (mod n) – computes the result of adding the two numbers, then taking modulus.
  • Subtraction (mod n) – computes the result of subtracting the second number from the first, then taking modulus.
  • Multiplication (mod n) – computes the product of the two numbers, then taking modulus.
  • This selection is required for the calculator to perform the operation.

Step 4: Enter the Second Number (if required)

• If you have selected an arithmetic operation (Addition, Subtraction, or Multiplication), enter a number in the Second Number field.
  • The range is also between -1,000,000 and 1,000,000.
  • This field is optional if you choose emph{Modulo}, but mandatory for other operations.

Step 5: Calculate and View Results

After you have filled in the necessary fields:

• The calculator will automatically display the results once all required inputs are valid.
  • The Result field will show the outcome of your selected operation.
  • The Quotient provides the integer division result of the number by modulus.
  • The Full Expression gives a breakdown in the form of number = quotient × modulus + result.

By following these steps, you can efficiently use the Modular Arithmetic Calculator to obtain results for various operations involving modular arithmetic.