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If the decimal number is a fraction then its binary equivalent is obtained by ________ the number continuously by 2.
- a)Dividing
- b)Multiplying
- c)Adding
- d)Subtracting
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If the decimal number is a fraction then its binary equivalent is obta...
On multiplying the decimal number continuously by 2, the binary equivalent is obtained by the collection of the integer part. However, if it’s an integer, then it’s binary equivalent is determined by dividing the number by 2 and collecting the remainders.
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If the decimal number is a fraction then its binary equivalent is obta...
Binary Equivalent of Decimal Fraction
Introduction:
Decimal numbers can be converted to binary numbers, including decimal fractions. In this case, the fractional part of the decimal is multiplied by 2 repeatedly until 1 or 0 is obtained as a whole number. The binary equivalent of the decimal fraction is obtained by concatenating the remainders in reverse order.
Multiplying by 2:
To convert a decimal fraction to binary, the fractional part of the decimal is multiplied by 2 repeatedly until 1 or 0 is obtained as a whole number. This process is similar to how a decimal number is converted to binary.
Example:
Let's take the decimal fraction 0.375 as an example. Multiply 0.375 by 2, which gives 0.75. The whole number part is 0, and the fractional part is 0.75. Multiply the fractional part by 2, which gives 1.5. The whole number part is 1, and the fractional part is 0.5. Multiply the fractional part by 2 again, which gives 1. The whole number part is 1, and the fractional part is 0. Subtract 1 from the last whole number obtained, which gives 0. The final result is 0.011 in binary.
Conclusion:
Therefore, the binary equivalent of a decimal fraction is obtained by multiplying the fractional part by 2 repeatedly until 1 or 0 is obtained as a whole number. The remainders are then concatenated in reverse order to obtain the binary equivalent of the decimal fraction.
Introduction:
Decimal numbers can be converted to binary numbers, including decimal fractions. In this case, the fractional part of the decimal is multiplied by 2 repeatedly until 1 or 0 is obtained as a whole number. The binary equivalent of the decimal fraction is obtained by concatenating the remainders in reverse order.
Multiplying by 2:
To convert a decimal fraction to binary, the fractional part of the decimal is multiplied by 2 repeatedly until 1 or 0 is obtained as a whole number. This process is similar to how a decimal number is converted to binary.
Example:
Let's take the decimal fraction 0.375 as an example. Multiply 0.375 by 2, which gives 0.75. The whole number part is 0, and the fractional part is 0.75. Multiply the fractional part by 2, which gives 1.5. The whole number part is 1, and the fractional part is 0.5. Multiply the fractional part by 2 again, which gives 1. The whole number part is 1, and the fractional part is 0. Subtract 1 from the last whole number obtained, which gives 0. The final result is 0.011 in binary.
Conclusion:
Therefore, the binary equivalent of a decimal fraction is obtained by multiplying the fractional part by 2 repeatedly until 1 or 0 is obtained as a whole number. The remainders are then concatenated in reverse order to obtain the binary equivalent of the decimal fraction.
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If the decimal number is a fraction then its binary equivalent is obtained by ________ the number continuously by 2.a)Dividingb)Multiplyingc)Addingd)SubtractingCorrect answer is option 'B'. Can you explain this answer?
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