Question
Download Solution PDFWhen the value 37H is divided by 17H, the remainder is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
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.
Last updated on Jun 12, 2025
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