$1.$ Assume you have a byte$-$addressable machine that uses $32-$bit integers and you are storing the hex value $1234$ at address $0$:

a$)$ Show how this is stored on a big endian machine.

b$)$ Show how this is stored on a little endian machine.

c$)$ If you wanted to increase the hex value to $123456,$ which byte assignment would be more efficient, big or little endian? Explain your answer.

$6.$ The first two bytes of a $2$M $\backslash$times $16$ main memory have the following hex values:

Byte $0$ is FE

Byte $1$ is $01$

If these bytes hold a $16-$bit two$$s complement integer, what is its actual decimal value if:

a$)$ Memory is big endian?

b$)$ Memory is little endian?

$10)$ A computer has $32-$bit instructions and $12-$bit addresses. Suppose there are $250$ two$-$address instructions. How many one$-$address instructions can be formulated? Explain your answer.

$12)$ Convert the following expression from infix to reverse Polish $($postfix$)$ notation

X $\backslash$times Y $+$ W $\backslash$times Z $+$ V $\backslash$times U

$21)$ Suppose we have the instruction Load $1000.$ Given that memory and register R$1$ contain the values below

and assuming that R$1$ is implied in the indexed addressing mode, determine the actual value loaded into the accumulator for the following modes:

Immediate

Direct

Indirect

Indexed

$27)$ A digital computer has a memory unit with $24$ bits per word. The instruction set consists of $150$ different operations. All instructions have an operation code part $($opcode$)$ and an address part $($allowing for only one address$).$ Each instruction is stored in one word of memory

a$)$ How many bits are needed for the opcode?

b$)$ How many bits are left for the address part of the instruction?

c$)$ What is the maximum allowable size for memory?

d$)$ What is the largest unsigned binary number that can be accommodated in one word of memory?