ece290HWK #6 Solution (ROM)

# ece290HWK #6 Solution (ROM) - Problem 6.1 We have a ROM...

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Problem 6.1 We have a ROM that has N entries of M bits each. We are interested in using it to implement a logic function. (a) How big is this ROM in bytes? Express your answer in terms of N and M. a. ࡺൈࡹ (b) How many bits are needed to address the ROM? Express your answer in terms of N and M. a. ܔܗ܏ ሺࡺሻ (c) How many distinct N-variable functions with 1-bit outputs can we implement with this ROM? Express your answer in terms of N and M. Copied from an email to Michael: The answer to the problem is: ࡺכࡹ . I got this by diving the total number of bits we have (N times M) by the number of bits it takes to represent a single N-variable function, 2^N. We need to floor this because it doesn't make much sense to represent some fraction of a function. (d) Let N = 32 and M = 2. Can we implement an arbitrary Boolean function f of 6 variables using the ROM and at most 4 logic gates? If so, draw the circuit. If not, why not?

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