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In the Decimal Numbering System, What is the MSD

By BYJU'S Exam Prep

Updated on: September 25th, 2023

In the Decimal numbering system, what is the MSD? 

  1. The digit which is having minimum positional weight
  2. The digit which lies in the middle of the number
  3. The rightmost digit of the number
  4. The leftmost digit of the number

Answer- D. The leftmost digit of the number

The answer to the question, ‘in the Decimal numbering system, what is the MSD?’, is that MSD will be the leftmost digit of the number.

Solution:

In any number system, each digit of the number will have a respective positional weight. So, the equivalent value of the number will change based on the positional weight. Let us assume that a decimal number is a real number. That means it has both integer and fractional parts. 

For the integer part, the positional weights will be positively increasing powers of 10 towards the left-hand side starting from the decimal point. Similarly, for the fractional part, the positional weights will be negatively increasing powers of 10 towards the right-hand side starting from the decimal point.

Among all the digits of the decimal number, the leftmost digit will be having the maximum positional weight. Hence it is called as Most Significant Digit (MSD). Similarly, the rightmost digit will be having the minimum positional weight. Hence it is called as Least Significant Digit (LSD). Therefore, option (D) is the correct answer.

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