When the value 37H is divided by 17H, the remainder is

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NIMCET 2015 Official Paper
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  1. C0H
  2. 03H
  3. 07H
  4. 09H

Answer (Detailed Solution Below)

Option 4 : 09H
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NIMCET 2020 Official Paper
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120 Questions 480 Marks 120 Mins

Detailed Solution

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Concept: 

Hexa decimal division process:

Step 1: Convert the given hexadecimal numbers to decimal.

Step 2: perform division operation to the decimal numbers.

Step 3: Convert the result to requires number system.

Calculation:

Convert the given hexadecimal numbers to decimal and perform division operation and for the remainder obtained, convert that remainder into hexadecimal.

⇒ 37H = 3 × 161 + 7 × 160 = (55)10

⇒ 17H =  1 × 161 + 7 × 160 = (23)10

⇒ remainder of (55 / 23) = (9)10

(9)10 in hexa decimal form is represented as shown

⇒ (9)10 = 0 × 161 + 9 × 160 = 09H

∴ The remainder is 09H

Note: From 0 - 9 vales of the both decimal and hexadecimal number systems are same.

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