Binary, Hex, and Data Representation due Tue 04 Sep 14:45

\begin{purpose}
This assignment is intended to help the student become comforta...
...essential to working with various commands in
assembly language.
\end{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

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