Computation and Computer Fundamentals, CSI 2334 Full Set
1. What is the two's complement representation of -4?: 1100
2. For 1010.112, normalizing yields 1.01011. Identify the biased exponent of the given example.: 130
3. Identify the decimal equivalent of the binary value of 0.011: .375
4. Which is true?
A single 0 or 1 is called a bit Eight bytes are
called a nibble A single 0 or 1 is called a byte
Eight bits are called a nibble: A single 0 or 1 is called a bit
5. Determine the result of the following binary floating-point multiplication: 1.1x25x1.1x23: 1.0010x29
6. Which addition will result in an overflow? 1111 +0111
0101 + 0010
1001 +0100
0011 +0001: 1111 +0111
7. What is the decimal equivalent of the hexadecimal number 2A: 42
8. Determine the number of pixels per square inch if there are 600 pixels per inch in an image: 360000
9. Given the following register file contents, which instruction sequence writes
$t1 with the result of 25 - 4 * 5? St1 $12 $13 Register file 4 5 25
mul $t0, 4, 5 sub $t1, 25, $t0
mul $t0, $t1, $t2 sub $t1, $t3, $t0 sub $t0, $t3,
St1 mul $t1, $t1, St2
sub $t0, 25, 2 mul $t1, 4, 5: mul $t0, $t1, $t2 sub $t1, $t3, $t0
10. Given the register file below, what is the value in register $t4 after executing the following instructions?
0 Add $t2 = $t2 + $t6 Add $t6= $t5 + $t2 Add $t4 =
$t6 + $t1 $zero $t0 St1 $12 $13 $14 $15 $16 26 22 16 11 Register file 8 6 7 5 3 0
O k: 22
11.Given the following data memory (DM) contents and assuming $t2 holds 2208, what is the value of $t3 after
executing the instruction sequence? lw $t1, 0($t2) lw $t3, 0($t1) Data memory (DM) 2200 80 I 2204 60 2208 2204
2212 40 80
2204 60 40: 60
, Computation and Computer Fundamentals, CSI 2334 Full Set
12.Which of the instruction sequences is equivalent to the following expres- sion? if ($te > 0) $t1= $t + 1 $t1= $t1
- 1 else 0) slt $t2, $t0, Szero beq $t2, $zero, True addi $t1, $t1, -1 j End True: addi $t1, $t1, 1 End: slt $t2, $zero,
$t0 beq $t2,
$zero, True addi $t1, $t1, -1 j End True: addi $t1, $t1, 1 End: slt $t2, $t0, $zero bne
$t2, Szero, True addi $t1, St1, -1 j End True: addi $t1, $t1, 1 End: slt $t2, Szero,
, Computation and Computer Fundamentals, CSI 2334 Full Set
$te bne St2, Szero, True addi $t1, $t1, -1 j End True: addi $t1, $t1, 1 End:: slt $t2, Szero, $te bne St2, Szero, True ad
$t1, $t1, -1 j End True: addi $t1, $t1, 1 End:
13.Given the following data memory (DM) and register file contents, determine the value of $t2 after executing
the instruction Load $t2 DM[1002] 1000 1001 1002 -$zero $t1 $12 $13 880 42 1002 37 Data memory DM 88 42 37
Register file
0 37 1002 880: 37
14.Given the following register file contents, what is the instruction sequence that writes $t1 with the sum of 5,
10, and 15? $t1 $12 $13 Register file 20 15 10 addi $t1, $t1, 5 add $t1, $t2, $t3 add $t1, $t1, 5 add $t1, $t2, $t3 add
$t1, $t2, $t3 add $t1, $t1, 5 add $t1, $t2, $t3 addi $t1, $t1, 5: add $t1, $t2, $t3 addi $t1, $t1, 5
15.Which of the following instruction sequences is equivalent to the instruc- tion ble $te, $t1, BLabel slt $t2, $t1,
$te bne $t2, $zero, BLabel slt $t2, $t1, $te beq $t2, $zero, BLabel slt $t2, $t0, $t1 beq $t2, $zero, Blabel slt $t2, $te,
$t1 bne
$t2, Szero, BLabel: slt $t2, $t1, $te beq $t2, $zero, BLabel
16.The instruction, Load $t5 with DM[5150], falls into which instruction cate- gory? data transfer arithmetic
logic unit branch data memory: Data transfer
17.Given $t1 = 8, $t2 = 5, $t3 = 7, and $t4 = 3, what is the instruction sequence that stores the values of 3 + 7 in
both register $t5 and the memory location DM[1005]? Add $t5= $t2+ $t3 Store DM[1005] to $t5 Add $t5= $t2 +
$t3 Store
$t5 to DM[1005] Add $t5 $t4 + $t3 Store $t5 to DM[1005] Add $t5 $t4 + $t3 Store DM[1005] to $t5: Add $t5 $t4 + $
Store $t5 to DM[1005]
18.Given a system with memory alignment, which value of $t5 results in successful execution of the
instruction sw $t0, 0($t5)? 5234 5214 5213 5224
W: 5224
19.Given the following register file contents, what will be the value of $t3 after executing the instruction
sequence? 0 slt $t2, $t3, $t1 addi $t3, $t2, 2 $t1 $12
$13 3 2 0 1 Register file 2 4 6: 2
20.Which of the instruction sequences is equivalent to the following expres- sion? if ($t1 - $t2) $t3 $t3 1 bne $t1,
$t2, L1 L1: beq $t1, $t2, L1 L1: addi $t3, $t3,
-1 L1:beq $t1, St2, L1 sub $t3, $t3, 1 addi $t3, $t3, -1 11: bne $t1, $t2, L1 sub
$t3, $t3, 1: beq $t1, $t2, L1 L1: addi $t3, $t3, -1 L1:
, Computation and Computer Fundamentals, CSI 2334 Full Set
21.Given the following register file contents, which instruction sequence writes $t1 with the result of 25 - 4* 5?
$t1 $12 $13 [0] Register file 4 5 25 sub
$t0, 25, 2 mul $t1, 4, 5 sub $t0, $t3, $t1 mul $t1, $t1, $t2 mul $t0, $t1, $t2 sub $t1,
$t3, $te mul $te, 4, 5 sub $t1, 25, $te: mul $t0, $t1, $t2 sub $t1, $t3, $te
22.Given the following register file contents, what will be the value of $t2 after executing the instruction
sequence? add $t2, $t2, $t1 addi $t3, $t2, 5 addi $t2,
$t2, -3 $t1 $12 $13 O 5 17 15 12 Register file 10 5 8: 12
1. What is the two's complement representation of -4?: 1100
2. For 1010.112, normalizing yields 1.01011. Identify the biased exponent of the given example.: 130
3. Identify the decimal equivalent of the binary value of 0.011: .375
4. Which is true?
A single 0 or 1 is called a bit Eight bytes are
called a nibble A single 0 or 1 is called a byte
Eight bits are called a nibble: A single 0 or 1 is called a bit
5. Determine the result of the following binary floating-point multiplication: 1.1x25x1.1x23: 1.0010x29
6. Which addition will result in an overflow? 1111 +0111
0101 + 0010
1001 +0100
0011 +0001: 1111 +0111
7. What is the decimal equivalent of the hexadecimal number 2A: 42
8. Determine the number of pixels per square inch if there are 600 pixels per inch in an image: 360000
9. Given the following register file contents, which instruction sequence writes
$t1 with the result of 25 - 4 * 5? St1 $12 $13 Register file 4 5 25
mul $t0, 4, 5 sub $t1, 25, $t0
mul $t0, $t1, $t2 sub $t1, $t3, $t0 sub $t0, $t3,
St1 mul $t1, $t1, St2
sub $t0, 25, 2 mul $t1, 4, 5: mul $t0, $t1, $t2 sub $t1, $t3, $t0
10. Given the register file below, what is the value in register $t4 after executing the following instructions?
0 Add $t2 = $t2 + $t6 Add $t6= $t5 + $t2 Add $t4 =
$t6 + $t1 $zero $t0 St1 $12 $13 $14 $15 $16 26 22 16 11 Register file 8 6 7 5 3 0
O k: 22
11.Given the following data memory (DM) contents and assuming $t2 holds 2208, what is the value of $t3 after
executing the instruction sequence? lw $t1, 0($t2) lw $t3, 0($t1) Data memory (DM) 2200 80 I 2204 60 2208 2204
2212 40 80
2204 60 40: 60
, Computation and Computer Fundamentals, CSI 2334 Full Set
12.Which of the instruction sequences is equivalent to the following expres- sion? if ($te > 0) $t1= $t + 1 $t1= $t1
- 1 else 0) slt $t2, $t0, Szero beq $t2, $zero, True addi $t1, $t1, -1 j End True: addi $t1, $t1, 1 End: slt $t2, $zero,
$t0 beq $t2,
$zero, True addi $t1, $t1, -1 j End True: addi $t1, $t1, 1 End: slt $t2, $t0, $zero bne
$t2, Szero, True addi $t1, St1, -1 j End True: addi $t1, $t1, 1 End: slt $t2, Szero,
, Computation and Computer Fundamentals, CSI 2334 Full Set
$te bne St2, Szero, True addi $t1, $t1, -1 j End True: addi $t1, $t1, 1 End:: slt $t2, Szero, $te bne St2, Szero, True ad
$t1, $t1, -1 j End True: addi $t1, $t1, 1 End:
13.Given the following data memory (DM) and register file contents, determine the value of $t2 after executing
the instruction Load $t2 DM[1002] 1000 1001 1002 -$zero $t1 $12 $13 880 42 1002 37 Data memory DM 88 42 37
Register file
0 37 1002 880: 37
14.Given the following register file contents, what is the instruction sequence that writes $t1 with the sum of 5,
10, and 15? $t1 $12 $13 Register file 20 15 10 addi $t1, $t1, 5 add $t1, $t2, $t3 add $t1, $t1, 5 add $t1, $t2, $t3 add
$t1, $t2, $t3 add $t1, $t1, 5 add $t1, $t2, $t3 addi $t1, $t1, 5: add $t1, $t2, $t3 addi $t1, $t1, 5
15.Which of the following instruction sequences is equivalent to the instruc- tion ble $te, $t1, BLabel slt $t2, $t1,
$te bne $t2, $zero, BLabel slt $t2, $t1, $te beq $t2, $zero, BLabel slt $t2, $t0, $t1 beq $t2, $zero, Blabel slt $t2, $te,
$t1 bne
$t2, Szero, BLabel: slt $t2, $t1, $te beq $t2, $zero, BLabel
16.The instruction, Load $t5 with DM[5150], falls into which instruction cate- gory? data transfer arithmetic
logic unit branch data memory: Data transfer
17.Given $t1 = 8, $t2 = 5, $t3 = 7, and $t4 = 3, what is the instruction sequence that stores the values of 3 + 7 in
both register $t5 and the memory location DM[1005]? Add $t5= $t2+ $t3 Store DM[1005] to $t5 Add $t5= $t2 +
$t3 Store
$t5 to DM[1005] Add $t5 $t4 + $t3 Store $t5 to DM[1005] Add $t5 $t4 + $t3 Store DM[1005] to $t5: Add $t5 $t4 + $
Store $t5 to DM[1005]
18.Given a system with memory alignment, which value of $t5 results in successful execution of the
instruction sw $t0, 0($t5)? 5234 5214 5213 5224
W: 5224
19.Given the following register file contents, what will be the value of $t3 after executing the instruction
sequence? 0 slt $t2, $t3, $t1 addi $t3, $t2, 2 $t1 $12
$13 3 2 0 1 Register file 2 4 6: 2
20.Which of the instruction sequences is equivalent to the following expres- sion? if ($t1 - $t2) $t3 $t3 1 bne $t1,
$t2, L1 L1: beq $t1, $t2, L1 L1: addi $t3, $t3,
-1 L1:beq $t1, St2, L1 sub $t3, $t3, 1 addi $t3, $t3, -1 11: bne $t1, $t2, L1 sub
$t3, $t3, 1: beq $t1, $t2, L1 L1: addi $t3, $t3, -1 L1:
, Computation and Computer Fundamentals, CSI 2334 Full Set
21.Given the following register file contents, which instruction sequence writes $t1 with the result of 25 - 4* 5?
$t1 $12 $13 [0] Register file 4 5 25 sub
$t0, 25, 2 mul $t1, 4, 5 sub $t0, $t3, $t1 mul $t1, $t1, $t2 mul $t0, $t1, $t2 sub $t1,
$t3, $te mul $te, 4, 5 sub $t1, 25, $te: mul $t0, $t1, $t2 sub $t1, $t3, $te
22.Given the following register file contents, what will be the value of $t2 after executing the instruction
sequence? add $t2, $t2, $t1 addi $t3, $t2, 5 addi $t2,
$t2, -3 $t1 $12 $13 O 5 17 15 12 Register file 10 5 8: 12
