Question: 1. Use both the change making and the repeated division methods to convert each of these numbers into hexadecimal. (Convert each number twice, showing your

1. Use both the "change making" and the "repeated division" methods to convert each of these numbers into hexadecimal. (Convert each number twice, showing your work in both cases.)

A.57,005

B.48,879

C.2,989

D.57,069

2. Write each of the numbers from the previous problem in binary. (You should be able to directly read them off from the hex.

3.What is the largest unsigned value which can be expressed in (write your answer in decimal):

A.8 bits

B.16 bits

C.32 bits

4.) What is the most negative value written in 2's complement which can be expressed in (write your answers in decimal):

A.8 bits

B.16 bits

C.32 bits

5. What is the largest positive value written in 2's complement which can be expressed in (write your answers in decimal):

A.8 bits

B.16 bits

C.32 bits

6. How many binary digits are needed to express the following decimal numbers?

A.3

B.7

C.100

D.2,141,612

7. Using 2's complement, negate each of the following hexadecimal values (write your answers in hexadecimal):

A.2A

B.1A

C.6F

D.83

8. Perform the following 8 bit unsigned additions in hexadecimal. (All problems are stated in hexadecimal.)

A.12 + 18

B.FF - 1F

C.08 + C3

D.1A + 2B

E.17 + 05

F.06 + 09

9.Using 8 bit 2's complement addition, perform the following hexadecimal subtraction operations.

A.34 - 0A

B.10 - 08

C.2A - 1C

D.08 - 0A

E.21 - 3E

F.3F - 2D

10. Convert each of the numbers from the previous problem into decimal. Indicate whether the value is positive or negative.

11. Perform the following bitwise arithmetic on these hexadecimal numbers.

A.1A OR 2F

B.1A AND 03

C.3C XOR 45

D.NOT 2A

E.C3 LEFT SHIFT 2

F.C3 RIGHT SHIFT 3

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