∴ Concept of MINUEND and SUBTRAHEND
→ 9`s Complement & 10`s complement:
If the number is binary, then we use 1’s complement and 2’s complement. But in case, when the number is a decimal number, we will use the 9’s and 10’s complement.
• 9`s Complement:
The 9’s complement is used to find the subtraction of the decimal numbers.
• The 9’s complement of a number is calculated by subtracting each digit of the number by 9.
• Subtraction using 9’s complement
• Step 1: Find 9`s complement of subtrahend
• Step 2: Add the 9`s complement with the minuend.
Note: If there is carry, add the carry to the result to get the final result, else find the 9`s complement of the reuslt and put negative sign to MSB.
Case 1: When the subtrahend is smaller than the minuend.
Case 2: When the subtrahend is greater than the minuend.
⁘ 10’s complement
The 10’s complement is also used to find the subtraction of the decimal numbers.
• The 10’s complement of a number is calculated by subtracting each digit by 9 and then adding 1 to the result. Simply, by adding 1 to its 9’s complement we can get its 10’s complement value.
• Subtraction using 10’s complement
• Step 1: Find 10`s complement of subtrahend
• Step 2: Add 10`s complement with minuend
Note: if there is any carry discard it, else again find 10`s complement of result and put negative sign to MSB.
Case 1: When the subtrahend is smaller than the minuend.
Case 2: When the subtrahend is greater than the minuend.
