Goals This assignment checks your understanding of the material in P&H Chapter 1 as well as some number representation basics. It will also give you practice compiling and executing C programs. Background reading K&R: Chapters 1-4. P&H: Chapter 1, Chapter 3 sections 1 & 2. Also be sure you understand Lab 1 Exercise 4. Submitting Your Solution Submit your solution by creating a directory named hw1 that contains files named cod.txt, bitcount.c, and mycalc.c. (Note that capitalization matters in file names; the submission program will not accept your submission if your file names differ at all from those specified.) From within that directory, type "submit hw1". Partners are not allowed on this assignment. Problem 0 Copy the contents of ~cs61c/hw/01 to a suitable location in your home directory. $ mkdir ~/hw $ cp -r ~cs61c/hw/01/ ~/hw All the files referred in this homework will be in the folder you copied. Problem 1 In cod.txt, answer the following questions: P&H problems 1.1-1.45 (these are very short questions), 1.48, and 1.54. P&H problems 3.1-3.3 Problem 2 What are the decimal values of each of the following binary numbers if you interpret them as 2's complement a. 1111 1111 0000 0110 b. 1111 1111 1110 1111 c. 0111 1111 1110 1111 d. 0101 0101 0101 0101 Add your answers in cod.txt. integers? Problem 3 What are the decimal values of each of the following binary numbers if you interpret them as unsigned integers? a. 1111 1111 0000 0110 b. 1111 1111 1110 1111 c. 0111 1111 1110 1111 d. 0101 0101 0101 0101 Add your answers to cod.txt. Problem 4 For each of the bit lengths and number representations below, list the binary encodings and values of the possible numbers closest to +infinity and to -infinity. (For each of the three parts to this question, you will provide two binary strings and two corresponding decimal numbers.) a. A nibble using two's compliment. b. A byte using sign-magnitude. c. A byte using one's compliment. Add your answers to cod.txt Problem 5 Write a function named bitCount() in bitcount.c that returns the number of 1-bits in the binary representation of its unsigned integer argument. Remember to fill in the identification information and run the completed program to verify correctness. /* Name: Lab section time: */ #include <stdio.h> int bitCount (unsigned int n); int main ( ) { printf ("# 1-bits in base 2 representation 0\n", 0, bitCount (0)); printf ("# 1-bits in base 2 representation 1\n", 1, bitCount (1)); printf ("# 1-bits in base 2 representation 16\n", 2863311530u, bitCount (2863311530u)); printf ("# 1-bits in base 2 representation 1\n", 536870912, bitCount (536870912)); printf ("# 1-bits in base 2 representation 32\n", 4294967295u, bitCount (4294967295u)); return 0; } int bitCount (unsigned int n) { of %u = %d, should be of %u = %d, should be of %u = %d, should be of %u = %d, should be of %u = %d, should be /* your code here */ } Problem 6 Write a basic calculator program which takes three commandline arguments (see K&R Sec. 5.10) and evaluates them as an arithmetic expression. The command-line arguments will consist of two integers (representable by an int) and a string ("plus", "minus", "times", or "over") in the order int opstring int. Calls to the program should work as below: # ./mycalc 5 minus 2 3 # ./mycalc 10002 times 5 50010 # ./mycalc 5 over 2 2 # ./mycalc 10 100 donkey donkey too many arguments! # ./mycalc too few arguments! Your code should be in a file named mycalc.c. We will not be testing for malformed input other than supplying too many or too few functions arguments.. atoi (Hint: and strcmp useful, you may as well find as a the case- switch statement.) Extra for experts: Extend your program to take an follows: arbitrary number of arguments, ./mycalc int op int op int op int ... given as Unless you are feeling particularly ambitious, we encourage you to use one level of operator precedence and left to right associativity.