Data Homework

  1. Perform the following number conversions:

    (a) (1 point) 0x42A0FD to binary

    (b) (1 point) 0b1010111001101001 to hexadecimal

    (c) (1 point) 81 to hexadecimal

  2. Without converting the numbers to decimal or binary, solve the following problems. Write the answers in hex.

    (a) (1 point) 0x935a + 0x8

    (b) (1 point) 0x935a - 0x60

    (c) (1 point) 0x935a + 64

    (d) (1 point) 0x93ff - 0x935a

  3. For the following scenarios, pick which is the best data type to use, short, unsigned short, int, unsigned int, or float. Explain why you picked that type.

    (a) (1 point) A variable that keeps track of how many visitors enter an amusement park.

    (b) (1 point) A variable that records the minimum daily temperature for Provo for a given month in Celsius.

    (c) (1 point) A variable that counts the number of people on earth to the nearest thousands

  4. (1 point) Write the decimal number 54 in binary as a short data type in both little endian notation and big endian notation.

  5. (1 point) Write the decimal number 54 in binary as a char data type in both little endian notation and big endian notation.

  6. Apply the following bitwise operations on the following numbers. Write the numbers in binary format.

    (a) (1 point) 0b01101100 & 0b11110011

    (b) (1 point) 0b01101100 | 0b11110011

    (c) (1 point) 0b01101100 ^ 0b11110011

    (d) (1 point) ∼0b01101100

    (e) (1 point) 0x41 & 0xF3

  7. Apply the following shift operations to the following numbers. Write the numbers in hex format.

    (a) (1 point) 0x6C << 3

    (b) (1 point) 0x6C >> 3

  8. Apply the following logic operators on the following numbers. Write the number in decimal format.

    (a) (1 point) 01101100 && 11110011

    (b) (1 point) 01101100 || 11110011

    (c) (1 point) !01101100

  9. (1 point) What is the hexadecimal representation of the string “hello”?

  10. Write the 8-bit twos complement representation in binary of the following numbers.

    (a) (1 point) 86

    (b) (1 point) -86

    (c) (1 point) -2

  11. (1 point) What does the following C program print out? 
    unsigned short x = 0x3039;
x = x + 0xF000;
x = x & (0xFF00 >> 8);
x = x + (x && x);

printf("x = 0x%x\n", x);

  12. (1 point) Write the floating point number representation for 6,841,721.

  13. (1 point) Write the decimal number for the following floating point representation: 1100 0011 0101 1100 1100 0010 1110 1010.

  14. (2 points) In the following code, what value would you set x equal to so that the printf statement printed “224”? 
    int x;
printf("%s\n", (char *)&x); // Print x as if it is an array of characters
  15. (5 points) Write a homework question that you think would be good for future students to answer to help them learn more about what has been covered in lecture so far.