1. Perform the following conversions:
a.) (110010.111)2 = (base 10)
b.) (F1.3)16 = (base 10)
c.) (781.25)10 = (base 2)

2. Consider the following truth table that defines inputs X0, X1, and X2, and outputs Y0 and Y1.
X0 X1 X2 Y0 Y1
0 0 0 1 0
0 0 1 1 0
0 1 0 1 1
0 1 1 0 1
1 0 0 1 0
1 0 1 0 1
1 1 0 1 1
1 1 1 1 1

a.) Write a Boolean expression for Y0.
b.) Use Logisim to model the combinational logic circuit that produces Y0. Test your circuit to be sure your circuit produces the output Y0 shown in the truth table above. Add your name and email address as part of the drawing and label the inputs and output appropriately.

Donâ€™t forget to submit your circuit file with the file name lastname_firstname_MT.circ when you submit your answers pdf.

3. This common method used to increase CPU throughput can result in destructive overheating of the CPU. What is this method called?
4. Write the assembly language equivalent of the following MARIE machine language instruction: 0100111101001111.
5. Write the following code segment in MARIE's assembly language: If X >= 1 Then
Y = 3
Else Endif
Y = 0

6. Suppose that a 8M x 16 main memory is built using 1024K Ã— 8 RAM chips and memory is word-addressable.
a.) How many RAM chips are necessary?
b.) How many address bits are needed for each RAM chip?

7. Decode the following ASCII message, assuming 7-bit ASCII characters and no parity:
1010100
1100101
1100011
1101000

8. You have stumbled on an unknown civilization while sailing around the world. The people, who call themselves Zebronians, do math using 53 separate characters (probably because there are 53 stripes on a zebra). They would very much like to use computers, but would need a computer to do Zebronian math, which would mean a computer that could represent all 53 characters. You are a computer designer and decide to help them. You decide the best thing is to use BCZ, Binary Coded Zebronian (which is like BCD except it codes Zebronian, not Decimal). How many bits will you need to represent each character if you want to use the minimum number of bits?

9. Suppose a computer has 16-bit instructions. The instruction set consists of 32 different operations. All instructions have an opcode and two address fields (allowing for two addresses). The first of these addresses must be a register, and the second must be memory. Expanding opcodes are not used. The machine has 16 registers. What is the maximum allowable size for memory?

10. The decimal number 9 when represented as an unsigned integer with 4 bits is 1001.

a.) The decimal number X when represented as signed magnitude is 10012. What is X? b.) The decimal number X when represented as 1â€™s complement is 10012. What is X? c.) The decimal number X when represented as 2â€™s complement is 10012. What is X? d.) The decimal number X when represented as Excess-7 is 10012. What is X?

11.The value shown below is represented using the IEEE 754 single- precision format. Convert to a signed decimal number.
10111111001000000000000000000000

12. Computers designed using the architecture have two buses: one for data and one for instructions.

13. For the following MARIE program:
ORG 100
Load Z Load W Subt Y JnS Foo Halt
Foo, Hex 0
Load Y Add X JumpI Foo
X, Hex 7
Y, Dec 8
Z, Hex 1
W, Hex 2

What is the value in the AC (hex) when the program halts?

14. Show how the following value would be stored by byte-addressable machines with 32-bit words by filling in the appropriate memory locations, using big endian and then little endian format. Assume each value starts at address 0x10.

VALUE: 0xF12
Address â€”> 0x10 0x11 0x12 0x13 0x14 0x15
Big Endian
Little Endian

1. Perform the following conversions: a.) (110010.111)2 = (base 1...