Multiplexers (a) Multiplexer Trees i. Sketch a detailed schematic of a 1-bit, 8-to-1 multiplexer using only 1-bit, 2-to-1 multiplexers arranged in a tree structure. ii. Sketch a detailed schematic of a 1-bit, 8-to-1 multiplexer using only 1-bit, 4-to-1 multiplexers arranged in a tree structure. iii. An alternative design of a 1-bit, 8-to-1 multiplexer tree constructed from 1-bit, 2-to-1 multiplexers is shown to the right. Label the 8 1-bit data inputs w0 to w7 such that 8-to-1 multiplexer operates correctly. 1 0 0 11 11 0 1 1 0 1111 SO S1 S2