6. (2 point) Calculate the following operations using two\'s complement method:

Question

6. (2 point) Calculate the following operations using two's complement method: (assuming 8-bit register is used) 7. (1 point) What is the 16-bit hexadecimal representation of the following signed decimal integer? 8. (2 point) What is the decimal representation of each of the following signed binary numbers? 9-15 300 (1 point) 11101101 (1 point) 01110100 a. b. 9. (I point) What is the largest decimal value you can represent using a. b. (1/2 point) 80-bit unsigned integer? (1/2 point) 80-bit signed integer?

Explanation / Answer

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1. We can write the equation as 9 + (-15) and then find the two's complement of - 15 and add it to 9.

Twos compliment of -15= 11110001, 9 =00001001.

11110001

+ 00001001

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11111010 = (-6).

2. For converting negative decimal to hexadecimal we first change decimal to binary and find two's complement and then change to hex.

300 = 0000000100101100

Twos compliment = 1111111011010100,

Now binary to hex = FED4

3. (a) 11101101 = - 19

-we follow the steps used in question one but in reverse order, subtract 1 from 11101101, then inverting the bits and putting negative sign.

(b) 01110100 = 116

4. 80 bit unsigned = 280 - 1.

(b) 80 bit signed = 279 - 1.

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