Here is the form for the answers. This assignment is due Tuesday, 14 November. However, if you email it to me at brock@cs.unca.edu by Monday, 13 November, I'll grade it before the exam. Problem 1: Factor the following sum of products expressions: F(A, B, C, D) = A B' C + A B' D + B' C D' F(A, B, C, D) = A C' + A D + B' C' + B' D Problem 2: Implement the following as a hazard-free sum-of-products circuit: F(A, B, C, D ) = Sigma(0, 1, 2, 5, 7, 8, 9, 13, 15) Problem 3: Describe how to implement the function: F(A, B, C, D ) = Sigma(0, 1, 2, 5, 7, 8, 9, 13, 15) with a 8:1 multiplexer. Problem 4: Can the function F(A, B, C, D ) = Sigma(0, 1, 2, 5, 7, 8, 9, 13, 15) be implemented with the simple PAL shown in Figure 4.7 on page 167 of the textbook. Problem 5: Supppose we wish to build a 128k x 15 RAM module out of several 64k x 3 RAM chips and decoders and/or multiplexers. How many address lines should a 128k x 15 RAM module have? How many data lines should a 128k x 15 RAM module have? How many 64k x 3 chips are needed to implement the module? When these chips are arranged into a two-dimensional array, how many rows and columns are used in this arrangement? What sort of decoder is needed for this implementation? Problem 6: How many selector inputs does a 64:1 multiplexer have?