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midterm.s02

# midterm.s02 - 1(1pts What is the Hamming distance between...

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1. (1pts) What is the Hamming distance between these two bit patterns: 1101 and 0100? 2. (3pts) How far apart must valid code words be to allow Single Error Detection (SED)? Quadruple Error Correction (QEC)? Quintuple (5) Error Correction Sextuple (6) Error Detection (QECSED)? 3. (3pts) Write the equation for the carry out of the 4th adder cell in an ALU using carry- lookahead, in terms of P’s and G’s. 4. (3pts) What is the difference between the Mealy and Moore models of sequential design? 5. (3pts) What is the difference between Sequential and Combinational Logic? 6. (2pts) What is a Karnaugh Map?

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7. (6pts) We know that a single cell of a ripple carry adder implements the functions Cout = AB + AC in + BC in and Sum = A xor B xor Cin Assuming you have made a 4-bit ripple carry adder using these cells, what is the worst case path through the adder? In other words, how long does it take for the answer to be correct in all cases? (I suggest you draw the circuit in order to make doing this problem easier).
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