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Question

A 12-bit Hamming code whose hexadecimal value is 0xE4F arrives at a receiver. What was the original value in hexadecimal? Assume that not more than 1 bit is in error.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

If the hexadecimal value is 0xE4F in the receiver part, firstly, we should convert it to binary version and it will be like this:

**111001001111**

We know that the places which are the power of 2 are check bits. In this frame 1, 2, 4 and 8 are check bits. We will simply delete them and get original message bits.

**10101111**

When we convert these bits to hexadecimal version it will be **0xAF**.

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