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midterm00 - 1(2pts Show how to make an SR latch using only...

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1. (2pts) Show how to make an SR latch using only NOR gates. 2. (3pts) Implement the following circuit using 6 or fewer 2-input NAND gates. Assume the variables and their complements are available. AB + BC + AC 3. (1pts) What is the Hamming distance between these two bit patterns: 1011 and 0111? 4. (3pts) How far apart must valid code words be to allow Single Error Detection (SED)? Double Error Correction (DEC)? Triple (3) Error Correction Quadruple (4) Error Detection (TECQED)? 5. (2pts) Write the equation for the carry into the 4th adder cell in an ALU using carry- lookahead, in terms of P’s and G’s.
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6. (2pts) What is the difference between a Flip-flop and a Latch? 7. (2pts) What is the difference between the Mealy and Moore models of sequential design? 8. (6pts) A three-variable logic function that is equal to 1 if any two or all three of its vari- ables are equal to 1 is called a majority function. Design a minimum-cost circuit that implements this majority function.
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9. (9pts) 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
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