Which is the correct method to obtained 10's compliment of a decimal number?
2020
Which is the correct method to obtained 10's compliment of a decimal number?
- A.
The minuend is added to the 10’s complement of the subtrahend and carry is dropped
- B.
The 10’s complement of a decimal number is equal to 9’s complement of given number minus one
- C.
The subtrahend is added to the 10’s complement of the minuend and carry is dropped
- D.
The 10’s complement of a decimal number is equal to 9’s complement of given number plus one
Attempted by 96 students.
Show answer & explanation
Correct answer: D
The correct option is D (The 10's complement of a decimal number is equal to 9's complement of given number plus one).
Mathematically, for a base-r number system, the r's complement is calculated by adding 1 to the least significant digit of its (r-1)'s complement. For decimal numbers (base r=10), the 10's complement is obtained by finding the 9's complement first and then adding 1 to it (10's Complement = 9's Complement + 1).