HW01: Binary, Hex, and Data Representation due Mon 02 Sep 23:59

Purpose

For each of the following problems show your work appropriately.

1. (1 pts each) Convert each of the following decimal values into binary and into hexadecimal:
   1. 320
   2. 70
   3. 128
   4. 31
   5. 25
   6. 84

2. (1 pts each) Convert each of the following binary values into decimal and into hexadecimal:
   1. 101110
   2. 0101
   3. 1111
   4. 101111101
   5. 111111
   6. 10101010

3. (2 pts) What range of values could be represented using 6 bits if the numbers were unsigned values? for signed values using two's complement?

4. (1 pts each) Show how each of the following decimal values would be stored in an 8-bit field using two's complement notation:
   1. -68
   2. 108
   3. -120
   4. -85
   5. 85
   6. 101
   7. 38
   8. 127
   9. 125
   10. 0

5. (2 pts each) Show how each of the following base-10 values would be represented in a 32-bit field if using the IEEE 754 format (8-bit exponent).
   1. 100.0
   2. -83.7

6. (2 pts each) What base-10 floating point number is represented by each bit string assuming use of the IEEE 754 format with an 8 bit exponent.
   1. 01000101101011000000000000000000
   2. 00111111111000000000000000000000