Write a function index(elem, seq) that takes as inputs an element elem and a sequence seq, and that uses recursion (i. e., that calls itself recursively) to find and return the index of the first occurrence of elem in seq. the sequence seq can be either a list or a string. if seq is a string, elem will be a single-character string; if seq is a list, elem can be any value. don’t forget that the index of the first element in a sequence is 0.

Problems: 1. using textbooks, reference books, and internet as your source of research, draw the following microprocessor microarchitectures i. intel 8086 ii. motorola 68000 i atmel atmega32 iv. mips single cycle v. arm cortex-m3 write an hdl module for a hexadecimal seven-segment display decoder. the input is 4-bit binary representing a hex number (0-f), and the output is 8-bit seven segment display bits (a-h). thus, the decoder must handle the digits 10 - 15 to display a-f respectively, in addition to 0-9 numbers. 2. design a 4-bit left and right rotator (both outputs). first sketch schematic diagrams of your design. then implement your design using hdl coding. 3. 4. design a modified priority encoder that receives an 8-bit input, a7: 0 and produces a 3-bit output, y2o. y indicates the most significant bit of the input that is true. y should be 0 if none of the inputs are true. give a simplified boolean equation, sketch a schematic, and write an hdl code. 5.write an 8: 1 multiplexer module called mux8 with selection inputs s, data input d, and data output y. data input (d) and data output (v) are 32-bit wide

Write a method that accepts a string object as an argument and returns the number of words it contains. for instance, if the argument is "four score and seven years ago", the method should return the number 6. demonstrate the method in a program that asks the user to input a string and then passes that string into the method, printing out whatever the method returns.

There is a simple pattern for determining if a binary number is odd. what is it and why does this pattern occur? how many bits would you need if you wanted to have the ability to count up to 1000? how high could you count in binary if you used all 10 of your fingers as bits? (finger up means 1, finger down means 0)