NIMCET 2015 — Computer PYQ

The correct option is (d) $09\text{H}$.

Step-by-Step Calculation:

To find the remainder of a hexadecimal division, it is often easiest to convert the values to decimal, perform the division, and then convert the remainder back to hexadecimal.

Step 1: Convert Hexadecimal to Decimal

• $37\text{H}=(3\times 16^1)+(7\times 16^0)=48+7=55$

• $17\text{H}=(1\times 16^1)+(7\times 16^0)=16+7=23$

Step 2: Perform the Division in Decimal

• Divide $55$ by $23$:

  $$55=(23\times 2)+9$$

• The quotient is $2$ and the remainder is $9$.

Step 3: Convert the Remainder back to Hexadecimal

• The decimal value $9$ is represented as $09\text{H}$ in hexadecimal.