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Thought for Today
Remainder Calculator
Here are some important points about remainders:
- The remainder is the amount left over after performing division.
- The remainder is always less than the divisor.
- The remainder can be zero if the dividend is evenly divisible by the divisor.
- The remainder is sometimes expressed using the modulo operator (%).
- The remainder is an important concept in number theory and modular arithmetic.
- The remainder can be used to determine divisibility and to solve problems in areas such as cryptography, computer science, and engineering.
- The remainder can be positive or negative depending on the sign of the dividend and divisor.
- The Chinese Remainder Theorem is a famous theorem in number theory that deals with finding a unique solution to a system of congruences with different moduli.
- The concept of a remainder can also be extended to fractions using the concept of a fractional part or decimal.
- The remainder can be used to express numbers in different bases, such as binary or hexadecimal.