CSC3210 Assignment #1 Solution

Objective: Learn some core concepts closely relating to assembly language.

Total 15 points

1. (1 point) Why 2’s complement is necessary to perform subtraction in hardware level? Explain your answer.



2. (1 point) Assume that you have three 8-bit storages (called registers) named A, B, and C to store binary numbers. Register A contains 10100111 and register B contains 11110110. Compute A+B and store the value in C register. What is the content of register, C after the computation? Show the computation in details with carries.


3. (2 points) Assume that you have 8-bit storage to store the numbers. Calculate the following operations using two's complement method (in binary). (Assuming 8-bit registers are used)
70 – 10 - 42
[Hint: Perform the computation in binary system, then convert it back to decimal]

4. (1 point) What is the hexadecimal representation of the following binary numbers? Show the conversion in details.
1101001101111101110011110001

5. (2 points) What is the 16-bit hexadecimal representation of the following signed decimal integer? Show all the steps of conversion in details.
-90

6. (2 points) What is the decimal representation of each of the following signed binary numbers? a. (1 point) 11110101
b. (1 point) 00110101
7. (2 point) Evaluate the following Hexadecimal expression. All the numbers are hexadecimal.
Show all the steps of computation and the carries.
ABC + CDE – 51E

8. (1 point) Is it possible to store -19 in a 5-bit storage. If your answer is YES, then show how to store -19 in 5-bit register. If your Answer is No, Explain why.

9. (1 point) What is the smallest decimal value you can represent, using a 145-bit signed integer? You can write the number in exponent form.

10. (2 points) What is the Boolean expression for P?

x y z P
0 0 0 0
0 0 1 1
0 1 0 1
0 1 1 1
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0

Design a circuit that can produce output P for inputs x, y, and z as expressed in the table above.



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