Subjects discrete math

Binary To Letter 188Ab5

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1. The problem is to decode a binary message by reading it 4 bits at a time and replacing each 4-bit code with the corresponding lowercase letter from the given tables. 2. The first table maps codes from 0000 to 0111 to letters a to h: $$\begin{array}{c|cccccccc} \text{Code} & 0000 & 0001 & 0010 & 0011 & 0100 & 0101 & 0110 & 0111 \\ \text{Letter} & a & b & c & d & e & f & g & h \end{array}$$ 3. The second table maps codes from 1000 to 1111 to letters i to p: $$\begin{array}{c|cccccccc} \text{Code} & 1000 & 1001 & 1010 & 1011 & 1100 & 1101 & 1110 & 1111 \\ \text{Letter} & i & j & k & l & m & n & o & p \end{array}$$ 4. To decode, split the binary message into groups of 4 bits, then look up each group in the tables and write down the corresponding letter. 5. This method is a simple substitution cipher using 4-bit binary codes. Final answer: Use the tables to convert each 4-bit code to its letter as shown above.