Computer Architecture

Chapter 1 Problems:

• 1. Describe the difference between a digital and analog signal. Give an example of each type.
• 2. How many different values can be represented with a single binary digit? List the possible values.
• 3. How many bits are in a byte?
• 4. How many bits are in a Megabyte (MB)?
• 5. How many Megabytes are in a Gigabyte (GB)?
• 6. How many distinct values can be represented by a Byte? Two Bytes?
• 7. Suppose you are designing a controller for a new game system. Describe a digital encoding for the direction pad that only uses, at most, four bits. Note that there are 9 possible directions: up, down, left, right, up left, up right, down left, down right, and centered.
• 8. Determine the number of combinations that can be represented using the following number of bits.
  • A) 1
  • B) 8
  • C) 10
• 9. Determine the minimum number of bits required to represent the following numbers
  • A) 34
  • B) 67
  • C) 93
• 10. Convert the following decimal numbers into binary using the division method.
  • A) 100
  • B) 256
  • C) 63
  • D) 30
• 11. Converrt the following decimal numbers to hexadecimal using the division method.
  • A) 101
  • B) 57
  • C) 21
  • D) 17
  • E) 257
  • F) 31
• 12. Convert the following hexadecimal numbers to decimal.
  • A) 0x7E0
  • B) 0xA11
  • C) 0xCAB
  • D) 0x80F
  • E) 0x942D
• 13. Convert the following binary numbers to decimal and hexadecimal.
  • A) 0101
  • B) 11010011
  • C) 00000001
  • D) 10
  • E) 1100
  • F) 11111111
• 14. Convert the following hexadecimal numbers into binary using the minimal number of bits possible.
  • A) 0xFACE
  • B) 0x1234
  • C) 0xB1DE
  • D) 0xF00D
  • E) 0x1F