1. Show the decimal value 123 as an unsigned eight bit binary value.

2. Show the decimal value -123 as a two's complement signed eight bit binary value.

3. Show the decimal value 133 as an unsigned eight bit binary value.

4. Can the decimal value 133 be represented as a two's complement signed eight binary value? Why or why not?

5. Show the unsigned binary value 1100 0111 as a decimal value.

6. Show the two's complement binary value 1100 0111 as a decimal value.

7. Show the two's complement binary value 0111 1111 as a decimal value.

8. Negate 0010 1100 using two's complement negation.

9. Negate the 16 bit hexadecimal value 073f using two's complement negation and show the hexadecimal result.

10. Is the 16 bit hexadecimal value 83f7 positive or negative as a two's complement signed value? Why or why not?

11. Show the decimal value -499 as a 16 bit two's complement signed hexadecimal value.

12. Show the truth table for the boolean function F(x , y ,z)=x y z+x y z+ x y z .

13. Show the truth table for the boolean function: F( x , y )=a(a+b) .

14. Show the truth table for the boolean function F( x , y )=a+(ab) .

15. Examine the two truth tables in questions 13 and 14 carefully, looking at the true results and how they correspond to the two inputs a and b. What do you notice?