How do you find the quotient and remainder in discrete mathematics?

A= B * Q + R where 0 ≤ R < B We can see that this comes directly from long division. When we divide A by B in long division, Q is the quotient and R is the remainder.

What is the quotient Remainder Theorem?

The quotient-remainder theorem says that when any integer n is divided by any pos- itive integer d, the result is a quotient q and a nonnegative remainder r that is smaller than d. n = dq + r and 0 ≤ r < d.

What is discrete and continuous mathematics?

It is easy to divide mathematics into “discrete mathematics” and “continuous mathematics”: discrete mathematics is about whole numbers and discrete objects, continuous mathematics is about real numbers and approximations. Continuous mathematics is about limits, while discrete mathematics is about counting and algebra.

What does discrete mean in math?

Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values.

How do you find quotient and remainder using division algorithm?

When we divide a positive integer (the dividend) by another positive integer (the divisor), we obtain a quotient. We multiply the quotient to the divisor, and subtract the product from the dividend to obtain the remainder. Such a division produces two results: a quotient and a remainder.

Why is the quotient remainder theorem important?

Quotient remainder theorem is the fundamental theorem in modular arithmetic. It is used to prove Modular Addition, Modular Multiplication and many more principles in modular arithmetic.

What is difference between discrete and continuous data?

Discrete data is the type of data that has clear spaces between values. Continuous data is data that falls in a constant sequence. Discrete data is countable while continuous — measurable.

What is the difference between a continuous variable and a discrete variable?

A discrete variable is a variable whose value is obtained by counting. A continuous variable is a variable whose value is obtained by measuring.

What’s the difference between continuous and discrete data?

What is the remainder of the quotient-remainder theorem?

From the Quotient-Remainder Theorem, we know that any integer divided by a positive integer will have a set number of remainders, and thus a set number of representations. For example, any integer divided by 7 will produce a remainder between 0 and 6, inclusive.

How do you find the remainder in long division?

A= B * Q + R where 0 ≤ R < B. We can see that this comes directly from long division. When we divide A by B in long division, Q is the quotient and R is the remainder. If we can write a number in this form then A mod B = R.

What is Q and R in long division?

We can see that this comes directly from long division. When we divide A by B in long division, Q is the quotient and R is the remainder. What is modular arithmetic?