Dividing Large Numbers and Finding the Remainder

May 19th, 2015
Studypool Tutor
Price: $10 USD

Tutor description

The "mod" operator in computer languages is simply the remainder. For example, 17 mod 3 = 2 ; because 17 / 3 = 5 rem 2 which in turn means 17 = 3 * 5 + 2

Word Count: 4410
Showing Page: 1/25
Dividing Large Numbers and Finding the RemainderSome IIM Questions also been inserted giving deep insight into different number theory problemsModular ArithmeticThe "mod" operator in computer languages is simply the remainder. For example, 17 mod 3 = 2 ; because 17 / 3 = 5 rem 2 which in turn means 17 = 3 * 5 + 2Note:The Set of all Integers can be divided into 3 classes:There are some tricky issues when negative numbers are used, but that shouldn't ordinarily be necessary.In math (number theory), the term is used a little differently. The "modulus" is actually not the remainder, but the number you are dividing by; and "mod" is not an operator, but a label telling "in what sense two quantities are considered congruent, or equal." For example, we would say 17 = 11 (mod 3)(read as "17 is congruent to 11, modulo 3"), meaning that 17 and 11 both leave the SAME remainder when divided by 3. You probably won't see this usage if you are only reading about programming, but it's worth being aware of if you look deeper into the math behind it.The notation (mod 100) is common in a branch of mathematics called number theory. It refers to so-called "modular arithmetic."When it is taught in school, it is often called "clock arithmetic."The idea is the same as the one found in "casting out nines," except you will be "casting out hundreds." The idea is that if you do addition, subtraction, or multiplication, you can discard multiples of 100 either before or after th

Review from student

Studypool Student
" all I can say is wow very fast work, great work thanks "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1830 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors