(Multiplexer Logic) Because 32:1 multiplexers do not exist in standard component catalogs,...

(Multiplexer Logic) Because 32:1 multiplexers do not exist in standard component catalogs, design a two-stage multiplexer network that realizes the 6-variable function

(a) Assuming that there is one 8:1 multiplexer or two 4:1 multiplexers per logic package, how many packages are used?

---

(b) How many packages are required to implement the function using conventional inverters and NAND gates in a two-level network? Assume there are four 2-input NAND gates, three 3-input NAND gates, or two 4-input gates per package and six inverters to a package.