Abstract Algebra: Theory and Applications · Problem 8.5.3

Isomorphisms — Thomas Judson

Mathematics — Abstract Algebra · parity-check-ascii-decoding

Problem

Suppose we receive the 8-bit string with decimal value 561056_{10} when we are expecting ASCII characters with a parity-check bit in the first bit (leftmost). We know an error has occurred in transmission. Give one of the probable guesses for the character which was actually sent (other than '8'), under the assumption that any individual bit is rarely sent in error. Explain the logic of your answer. (You may need to consult a table of ASCII values online.)

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