ALL work must be shown for each of the following problems for any credit:

1. Calculate the hexadecimal values of the following decimal numbers:
   1. 54
2. 2. 139
3. 3. 1662
4. 4. 326

2. Convert the following two's complement signed binary numbers to decimal numbers:
   1. 11111010
3. 2. 10111010
4. 3. 1111111001010011
5. 4. 1111111101011111

3. Convert the following two's complement signed hexadecimal numbers to decimal numbers:
   1. 00AD
4. 2. 1111
5. 3. FFEF
6. 4. BEE9

4. Add the following binary two's complement signed numbers.
   1. 00101011 + 00011101 =
5. 2. 11111101 + 11101001 =

5. Add the following hexadecimal two's complement signed numbers. Be careful. Just because a number appears in hex doesn't mean that all the two's complement rules no longer apply. You will need to convert to binary to see if the number is negative or positive before doing the addition. Remember this is a twos complement number.
   1. 07A8 + 0C56 =
6. 2. 00F0 + EA67 =

6. Tens complement is analogous to twos complement. A tens complement negative number is formed by adding 1 to the corresponding nines complement number, ignoring the carry. What is the rule for tens complement addition?

7. Construct the multiplication tables for radix 4 numbers.

x	0	1	2	3
0
1
2
3

8. Consider the following addition problems for 8-bit binary numbers in signed twos complement. Do the sum and express it as eight digits, all the storage space available. For each sum, state:

Sum	Questions	Yes or No
1000 0111 + 1000 0111	Is the sign bit a 1?
	Are the low-order 8 bits all 0?
	Does overflow occur?
1000 0111 + 0111 1111	Is the sign bit a 1?
	Are the low-order 8 bits all 0?
	Does overflow occur?
0111 1100 + 1100 1110	Is the sign bit a 1?
	Are the low-order 8 bits all 0?
	Does overflow occur?
0101 1100 + 1010 0100	Is the sign bit a 1?
	Are the low-order 8 bits all 0?
	Does overflow occur?