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Even-Odd Multiplication- Number Theory Video Lecture | General Aptitude for GATE - Mechanical Engineering
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FAQs on Even-Odd Multiplication- Number Theory Video Lecture - General Aptitude for GATE - Mechanical Engineering
| 1. What is even-odd multiplication in number theory? |  |
Ans. Even-odd multiplication is a concept in number theory where the product of an even number and an odd number is always even. This can be mathematically represented as (2n) x (2m+1) = 2(2nm + n), where n and m are any positive integers.
| 2. Can odd-even multiplication also be possible in number theory? | |
Ans. Yes, odd-even multiplication is possible in number theory. The product of an odd number and an even number is always even, which can be mathematically represented as (2n+1) x 2m = 2(2nm + m), where n and m are any positive integers.
| 3. What are the applications of even-odd multiplication in real life? | |
Ans. Even-odd multiplication finds its applications in various fields such as computer science, electronics, and cryptography. It is used in digital circuits to perform arithmetic operations and in cryptography to encrypt and decrypt information.
| 4. How is even-odd multiplication related to modular arithmetic? | |
Ans. Even-odd multiplication is closely related to modular arithmetic, where the remainder of a division is considered instead of the quotient. In modular arithmetic, the product of two even numbers, two odd numbers, or an even and an odd number can be determined based on their remainders when divided by 2.
| 5. How can even-odd multiplication be used to solve problems in competitive exams? | |
Ans. Even-odd multiplication can be used to quickly solve problems in competitive exams that involve multiplication of even and odd numbers. By identifying the parity of the numbers, one can determine the parity of their product, which can help in eliminating answer options and arriving at the correct answer quickly.
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