A Modular Integer Class

Out: $\frac{9}{12}$

Due: $\frac{9}{25}$ by $11$:$50$ PM

Learning Objectives

Understand the basics of implementing a class

Understand the relationship between the interface, implementation and

client files

Understand the difference between public vs private access modifiers

Understand the basics of overloading binary operators

Understand the role of accessor, mutator and constructor member func$-$

tions in a class

Definition $1.$ Modular arithmetic is the arithmetic of congruences, some$-$

times known informally as "clock arithmetic." In modular arithmetic, num$-$

bers "wrap around" upon reaching a given fixed quantity, which is known as

the modulus $($which would be $12$ in the case of hours on a clock, or $60$ in

the case of minutes or seconds on a clock$).$ For example, $-7,5,$ and $17$ are

ongruent modulo $12.$ The modulus must be a non$-$negative integer. Modulo