Study Guide 3

Code Jams are open book. 40 minutes in lab.

Topics:

Everything from Study Guide 2, plus

Data type formats: signed and unsigned integers, float, double
Bitwise operators
Binary arithmetic
Memory layouts of arrays and structs, byte alignment
Reading and writing binary files

Write C programs to check your answers. Or you can ask a TA or instructor to give feedback on your responses.

Additional Practice questions

1) Convert the following binary numbers to hexadecimal and decimal. Try without a calculator (but use a calculator to check your results)

0110 1010
1110 0011
0110 1110

2) Convert the following hexadecimal numbers to binary and decimal. Try without a calculator (but use a calculator to check your results)

0xF5
0x03
0x2D

3) Convert the following decimal numbers to hexadecimal and binary. Try without a calculator (but use a calculator to check your results)

4) Compute the results of the following decimal expressions using 4-bit unsigned integers. Express your final answer in hexadecimal. Show your work.

Expression

Result

3 << 8

2 & 7

2 + 7

9 + 7

11-9

5) Compute the results of the following decimal expressions using 4-bit signed integers. Express your final answer in hexadecimal. Show your answer.

Expression

Result

-6 >> 3

2 ^ 7

2 + 7

5 - 7

-4-1

6) Convert the following hexadecimal number 0x 3f c0 00 00

to a floating point number
to an unsigned integer
to a signed integer
to an 32-bit RGBA color, e.g. consider each byte as a value for red, green, blue, and alpha

6) Convert the following hexadecimal number 0x 3f 6a 42

to an unsigned integer
to a signed integer
to an 24-bit RGBA color, e.g. consider each byte as a value for red, green, and blue
to an ASCII character string

8) Consider the following struct. Draw the contents and layout of a variable of this struct type, assuming the variable is placed in memory starting at address 0xfffffe40.

struct foo {
    float x;
    unsigned char c[3];
    struct foo* v;
};

9) Sheldon uses the following program to write an unsigned integer to a file in binary format.

#include <stdio.h>
#include <stdlib.h>

int main() {
  FILE* fp = fopen("test.bin", "wb");

  const char* message = "a-ok";
  fwrite(message, sizeof(unsigned char), 5, fp);

  unsigned int v = 7;
  fwrite(&v, sizeof(unsigned int), 1, fp);

  fclose(fp);
}

When they inspect the file using hexedit, they see the following result. Does it make sense? Why or why not?

00000000   61 2D 6F 6B  00 07 00 00  00      a-ok.....
00000018

9) Ava implemented the following program to keep track of her finances. However, it’s not working properly. What is going on and how can she fix it?

#include <stdio.h>

int main() {
  unsigned int balance = 0;

  FILE* infile = fopen("finances.txt", "r");
  fscanf(infile, " %u", &balance);
  fclose(infile);

  printf("Your balance: $%u\n", balance);
  printf("What would you like to do? (d = deposit,w = withdraw)\n");
  char choice = fgetc(stdin);
  if (choice != 'd' && choice != 'w') {
    printf("Invalid choice! Quitting....\n");
    return 1;
  }

  int amount = 0;
  printf("Enter an amount: ");
  scanf(" %d", &amount);
  if (amount < 0) {
    printf("Invalid amount! Quitting...\n");
    return 1;
  }

  if (choice == 'd') {
    balance += amount;
  } else if (choice == 'w') {
    balance -= amount;
  }

  FILE* outfile = fopen("finances.txt", "w");
  fprintf(outfile, "%u", balance);
  fclose(outfile);

  return 0;
}

$ ./finance
Your balance: $50
What would you like to do? (d = deposit,w = withdraw)
d
Enter an amount: 5
$ ./finance
Your balance: $55
What would you like to do? (d = deposit,w = withdraw)
w
Enter an amount: 40
$ ./finance
Your balance: $15
What would you like to do? (d = deposit,w = withdraw)
w
Enter an amount: 20
$ ./finance
Your balance: $4294967291
What would you like to do? (d = deposit,w = withdraw)
^C

10) Consider the following program

1 #include <stdio.h>
 2
 3 int main() {
 4 unsigned char a = 0x7E;
 5 unsigned char leftMask = 0xC0;
 6 unsigned char rightMask = 0x03;
 7 unsigned char left = (leftMask & a) ;
 8 unsigned char right = (rightMask & a) ;
 9 unsigned char leftShift = left >> 4;
 10 unsigned char rightShift = right << 4;
 11 unsigned flipped = leftShift | rightShift;
 12

What is the value of a in binary?
What is the value of flipped? Show your work to give a rationale for your answer.

Programming

1) Write a program, lswizzle.c that shifts all the bits in an unsigned integer to the left, wrapping the most significant bit into the least significant bit. For example, if the integer has binary representation 0b 1010 0110 0000 0000, the result should be 0b 0100 1100 000 0001.

2) Write a program, odd.c that uses xor to identify the single element that appears an odd number of times in the following list: [4, 6, 8, 8, 6, 2, 3, 4, 3].

3) Write a program, flag.c, that allows the user to set or unset a specific bit in an unsigned integer.

$ ./flag
usage: flag   
$ ./flag 101 4 1
Your original number: 0x65 (101)
Your new number: 0x75 (117)
$ ./flag 101 3 1
Your original number: 0x65 (101)
Your new number: 0x6d (109)