Galois Field Calculator

Choose Field Degree (m):

Select Operation *: Add: A ⊕ B Subtract: A ⊕ B Multiply: A · B mod m(x) Divide: A · B^-1 mod m(x) Modulo Reduction: A mod m(x) Inverse: A^-1 mod m(x) Exponentiation: A^B mod m(x)

*Input A is always considered the primary input. That is, input B is only required for the following binary operations: Addition - Subtraction - Multiplication - Division. For all other operations, input B will be ignored.

Enter Input A:

Enter Input B**:

** Input B may be left blank for the following unary operations (since they only depend on Input A): Modulo Reduction - Inverse.

Choose Output Type:

RESULTS

Hexadecimal/Binary Output ***:

Polynomial Output:

*** If the output begins with '0b', it represents a binary value. If it begins with '0X', it represents a hexadecimal value.