What is the probability that more than one bit is faulty

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Questions: Consider improving the reliability of registers in processors. Each register contains 32 bits, and we will triplicate each register to Triple Modular Redundancy. Let us assume the reliability of each bit is Rb.
a). Assume at most one bit can be faulty and assume that the voter does not fail (i.e. Ry =1). an expression for the reliability of a TMR register.
b). Let us assume that we are using distance-3 single error correcting code with each register, but not replicating registers to improve reliability.
(). How many parity bits are needed for a 32-bit register to create a distance-3 code?

(ii). What is the probability that more than one bit is faulty?
c). How do you compare the two methods of achieving fault tolerance (TMR vs coding)?

 

Reference no: EM133453438

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