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Question Id : 10757 | Context :NIMCET 2021

Question

The number (2217)8 is equivalent to
🎥 Video solution / Text Solution of this question is given below:

✅ Step 1: Convert Octal to Binary

Each octal digit is represented by 3 binary digits. Let's convert (2217)8 to binary:

28 = 010, 28 = 010, 18 = 001, 78 = 111

Binary Representation: 010 010 001 111

✅ Step 2: Group Binary in 4-bit Sections

To convert binary to hexadecimal, group the binary digits in sets of 4, starting from the right:

010 010 001 111 becomes 0010 0100 0111

✅ Step 3: Convert Binary to Hexadecimal

Now convert each group of 4 bits into its hexadecimal equivalent:

  • 0010 = 2
  • 0100 = 4
  • 0111 = 7

✅ Final Answer:

The hexadecimal equivalent of (2217)8 is: (247)16

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