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Base System & Conversion in Numbers Video Lecture | Quantitative Aptitude (Quant) - CAT
FAQs on Base System & Conversion in Numbers Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is a base system in numbers? |  |
Ans. A base system, also known as a number system, is a way of representing numbers using a specific set of digits and a base value. In a base system, each digit's value is multiplied by the corresponding power of the base value, and then all the products are added together to obtain the final numerical value.
| 2. How does conversion between different base systems work? | |
Ans. Conversion between different base systems involves representing a number in one base system using digits that correspond to another base system. This can be done by repeatedly dividing the number by the desired base and noting the remainders. The remainders, read in reverse order, form the digits of the converted number in the new base system.
| 3. What are the commonly used base systems? | |
Ans. The most commonly used base systems are the decimal (base-10), binary (base-2), octal (base-8), and hexadecimal (base-16) systems. The decimal system is the base system most often used in everyday life, while the binary system is widely used in computer science and digital electronics.
| 4. How can I convert a decimal number to binary? | |
Ans. To convert a decimal number to binary, divide the decimal number by 2 repeatedly and note the remainders. Start from the quotient of the first division and continue until the quotient becomes zero. The remainders, read in reverse order, form the binary representation of the decimal number.
| 5. How can I convert a binary number to decimal? | |
Ans. To convert a binary number to decimal, multiply each digit of the binary number by the corresponding power of 2 and add the products together. Start from the rightmost digit and increase the power of 2 for each subsequent digit. The sum of the products gives the decimal representation of the binary number.
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