CAT > Quantitative Aptitude (Quant) > Conversions to Other Number System- 2
Conversions to Other Number System- 2 Video Lecture - Quantitative Aptitude (Quant) - CAT
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FAQs on Conversions to Other Number System- 2 Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is the decimal to binary conversion? |  |
Ans. Decimal to binary conversion is the process of converting a decimal number (base 10) into its binary equivalent (base 2). It involves dividing the decimal number by 2 repeatedly and noting down the remainders until the quotient becomes zero. The binary equivalent is obtained by arranging the remainders in reverse order.
| 2. How do I convert a binary number to decimal? | |
Ans. To convert a binary number to decimal, each digit in the binary number is multiplied by powers of 2, starting from the rightmost digit. The resulting values are then summed up to obtain the decimal equivalent. For example, to convert the binary number 1010 to decimal, we calculate: 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 8 + 0 + 2 + 0 = 10.
| 3. What is the octal number system and how do I convert a decimal number to octal? | |
Ans. The octal number system is a base-8 number system that uses digits from 0 to 7. To convert a decimal number to octal, we repeatedly divide the decimal number by 8 and note down the remainders until the quotient becomes zero. The octal equivalent is obtained by arranging the remainders in reverse order.
| 4. Can I convert a hexadecimal number to binary directly? | |
Ans. Yes, it is possible to convert a hexadecimal number to binary directly. Each hexadecimal digit can be directly replaced by its 4-bit binary equivalent. For example, the hexadecimal number 3F can be converted to binary as 0011 1111.
| 5. How do I convert a decimal fraction to binary? | |
Ans. Converting a decimal fraction to binary involves multiplying the fractional part by 2 repeatedly. The whole number part of each multiplication is noted down, and the fractional part is used for the next multiplication. This process is continued until the fractional part becomes zero or until the desired precision is achieved. The binary equivalent is obtained by arranging the whole number parts in order.
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