FAQs on Important Formulas: Number System

Question 1

1. What are the basic properties of numbers in the Number System?

Accepted Answer

Ans. The basic properties of numbers in the Number System include commutative property, associative property, distributive property, and identity property.

Question 2

2. How can one convert a decimal number to a binary number in the Number System?

Accepted Answer

Ans. To convert a decimal number to a binary number, you can repeatedly divide the decimal number by 2 and note down the remainders until the quotient becomes 0.

Question 3

3. What is the significance of prime numbers in the Number System?

Accepted Answer

Ans. Prime numbers are significant in the Number System as they are numbers greater than 1 that have no divisors other than 1 and themselves. They are the building blocks of all other numbers.

Question 4

4. How can one determine if a number is divisible by another number in the Number System?

Accepted Answer

Ans. To determine if a number is divisible by another number, you can use the division algorithm to check if the remainder is 0 when dividing the two numbers.

Question 5

5. How are fractions represented in the Number System?

Accepted Answer

Ans. Fractions are represented in the Number System as a ratio of two integers, where the numerator represents the part being considered and the denominator represents the total number of parts.

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