Deck 7: Computer Science and Mathematics

Question 1

Evaluate each of the following. If necessary, round each answer in decimal form to
3 significant digits. If the operation is not defined, so state.

Answer 1

1

Question 2

relative error to 3 significant figures.
Find the binary equivalent of the decimal number 123.625.
Assuming even parity, determine whether each of the following
bit patterns contains an error.

Answer 2

Question 3

relative error to 3 significant figures.
Find the hexadecimal equivalent of the binary number

Answer 3

Question 4

Perform the following operations with binary numbers.

Question 5

Evaluate each of the following. If necessary, round each answer in decimal form to
3 significant digits. If the operation is not defined, so state.

Question 6

The following numbers are in 8-bit, two's complement notation.
Give the decimal equivalent for each.

Question 7

The following numbers are in 8-bit, two's complement notation.
Give the decimal equivalent for each.

Question 8

The following numbers are in 8-bit, two's complement notation.
Give the decimal equivalent for each.

Question 9

Evaluate each of the following. If necessary, round each answer in decimal form to
3 significant digits. If the operation is not defined, so state.

Question 10

relative error to 3 significant figures.
Find the octal equivalent of the hexadecimal number F1A

Question 11

Evaluate each of the following. If necessary, round each answer in decimal form to
3 significant digits. If the operation is not defined, so state.

Question 12

relative error to 3 significant figures.
Find the decimal equivalent of the octal number 101.11

Question 13

Perform the following operations with binary numbers.

Question 14

Evaluate each of the following. If necessary, round each answer in decimal form to
3 significant digits. If the operation is not defined, so state.

Question 15

Evaluate each of the following. If necessary, round each answer in decimal form to
3 significant digits. If the operation is not defined, so state.

Question 16

Evaluate each of the following. If necessary, round each answer in decimal form to
3 significant digits. If the operation is not defined, so state.

Question 17

Perform the following operations with binary numbers.

Question 18

The following numbers are in 8-bit, two's complement notation.
Give the decimal equivalent for each.
Approximate 1 MB = 2 bytes as 1,000,000 bytes.
Find the absolute error and relative error associated
with this approximation. If necessary, round the RE: ___________

Question 19

Perform the following operations with binary numbers.

Question 20

Evaluate each of the following. If necessary, round each answer in decimal form to
3 significant digits. If the operation is not defined, so state.

Question 21

Complete the following arithmetic problems.

Question 22

Complete the following arithmetic problems.
The hexadecimal ASCII for "V" is 56

Question 23

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
A = {0, 1, 4, 5, 9, B, C}
B = {1, 2, 3, 5, 7, 9, A}

Question 24

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
A = {0, 1, 4, 5, 9, B, C}
B = {1, 2, 3, 5, 7, 9, A}

Question 25

Fill in the Venn diagram below using the given cardinalities.

Question 26

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
A = {0, 1, 4, 5, 9, B, C}
B = {1, 2, 3, 5, 7, 9, A}

Question 27

Use Boolean algebra to simplify the following expressions, and then evaluate the expressions
for x = 1 and y = 0.

Question 28

Complete the following arithmetic problems.

Question 29

then use the truth table to evaluate f (1, 1).
Shade the following region on the Venn diagram:
AB′C∨ ABC′′ ∨ ABC′

Question 30

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
A = {0, 1, 4, 5, 9, B, C}
B = {1, 2, 3, 5, 7, 9, A}
Complete the following truth table for f (,AB)=∧A ~B,

Question 31

How many homes have a lawn and a white picket fence,
but no garage?

Question 32

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
A = {0, 1, 4, 5, 9, B, C}
B = {1, 2, 3, 5, 7, 9, A}

Question 33

relative error to 3 significant figures.

Question 34

Use Boolean algebra to simplify the following expressions, and then evaluate the expressions
for x = 1 and y = 0.
What is the reduced Boolean expression obtained from
the Karnaugh map?

Question 35

Use Boolean algebra to simplify the following expressions, and then evaluate the expressions
for x = 1 and y = 0.

Question 36

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
A = {0, 1, 4, 5, 9, B, C}
B = {1, 2, 3, 5, 7, 9, A}
A′

Question 37

Complete the following arithmetic problems.

Question 38

relative error to 3 significant figures.

Question 39

Find the decimal
ASCII for "Y".
The decimal ASCII for "b" is 98. Find the ASCII bit
pattern for "n".

Question 40

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
A = {0, 1, 4, 5, 9, B, C}
B = {1, 2, 3, 5, 7, 9, A}
Complete the following truth table. Identify the last 33.
column in the table as a condition statement, a fallacy,
or a tautology.

Question 41

Use Boolean algebra to simplify the following expressions, and then evaluate the expressions
for x = 1 and y = 0.
Give the Boolean expression associated with the
following gated circuit.

Question 42

Describe the output for each of the following. Assume that all
commands are valid. For Problems 47 and 48, assume that the
code is applied to a computer monitor with a resolution of
1280 by 1024.

Question 43

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

(a) 1
(b) 2
(c) 4
(d) 8
(e) None of these

Question 44

Use Boolean algebra to simplify the following expressions, and then evaluate the expressions
for x = 1 and y = 0.
Simplify AB′′CD∨ AB′′CD ∨ ABCD′ ∨ ABC′ D.

Question 45

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

Question 46

Describe the output for each of the following. Assume that all
commands are valid. For Problems 47 and 48, assume that the
code is applied to a computer monitor with a resolution of
1280 by 1024.

Question 47

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

Question 48

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

(a) 7
(b) −7
(c)
(d) 49
(e) None of these

Question 49

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

Question 50

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

Question 51

Describe the output for each of the following. Assume that all
commands are valid. For Problems 47 and 48, assume that the
code is applied to a computer monitor with a resolution of
1280 by 1024.

Question 52

Perform the following operations with binary numbers.

Question 53

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

(a) Undefined
(b) 56
(c) 14
(d)
(e) None of these

Question 54

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

(a) 4
(b) 2
(c) 8
(d) 64
(e) None of these

Question 55

Use Boolean algebra to simplify the following expressions, and then evaluate the expressions
for x = 1 and y = 0.
Find a gated circuit for the reduced expression.

Question 56

Perform the following operations with binary numbers.

Question 57

Perform the following operations with binary numbers.

Question 58

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

Question 59

Describe the output for each of the following. Assume that all
commands are valid. For Problems 47 and 48, assume that the
code is applied to a computer monitor with a resolution of
1280 by 1024.

Question 60

For Problems 49 and 50, assume the command Dcolor sets a
decimal color triple and that the code is applied to a
computer monitor with a resolution of 1280 by 1024.

Question 61

Complete the following arithmetic problems.

Question 62

Find the relative error associated with this approximation.
Find the octal equivalent of the hexadecimal number ECD16.

Question 63

Complete the following arithmetic problems.

Question 64

The following numbers are in 8-bit, two's complement notation.
Find the decimal equivalent for each.

(a) 15
(b) 242
(c) −15
(d) −242
(e) None of these

Question 65

Find the relative error associated with this approximation.
Find the binary equivalent of the decimal number 875.875.

Question 66

The following numbers are in 8-bit, two's complement notation.
Find the decimal equivalent for each.
Approximate 1 GB = 230 bytes as 1,000,000,000 bytes.
(a) 0.0687%
(b) 0.0737%
(c) 7.37%
(d) 6.87%
(e) None of these

Question 67

Find the decimal
ASCII for "H".

(a) 9
(b) 11
(c) 10
(d) 12
(e) None of these

Question 68

Find the decimal
ASCII for "H".

(a) 11
(b) 12
(c) 10
(d) 13
(e) None of these

Question 69

Complete the following arithmetic problems.
The hexadecimal ASCII for "X" is 58 .
(a) 72
(b) 48
(c) 74
(d) 116
(e) None of these

Question 70

The following numbers are in 8-bit, two's complement notation.
Find the decimal equivalent for each.

(a) 94
(b) −94
(c) 95
(d) −95
(e) None of these

Question 71

The following numbers are in 8-bit, two's complement notation.
Find the decimal equivalent for each.

(a) 130
(b) −127
(c) 127
(d) −130
(e) None of these

Question 72

Find the relative error associated with this approximation.
Find the decimal equivalent of the octal number 767.034
(a) 503.4375
(b) 503.006836
(c) 503.0546875
(d) 503.3828125
(e) None of these

Question 73

Find the decimal
ASCII for "H".
()B′′
(a) {1, 3, 7, 8, 9, s}
(b) {1, 3, 7, 8, 9, s, t}
(c) {1, 3, 5, 7, 8, 9, s, t}
(d) {0, 1, 2, 7, 8, 9, s, t}
(e) None of these

Question 74

Find the decimal
ASCII for "H".
B′
(a) {1, 3, 5, 6, 7, 9, s}
(b) {1, 3, 5, 7, 9, s}
(c) {0, 2, 4, 5, 6, r}
(d) {0, 2, 4, 6, r}
(e) None of these

Question 75

Assuming odd parity, determine whether each of the following
bit patterns contains an error.

(a) Error
(b) No error
(c) Neither of these

Question 76

Find the relative error associated with this approximation.
Find the hexadecimal equivalent of the binary number 1101.011010112.

Question 77

Assuming odd parity, determine whether each of the following
bit patterns contains an error.

(a) Error
(b) No error
(c) Neither of these

Question 78

Perform the following operations with binary numbers.

Question 79

Complete the following arithmetic problems.

Question 80

Find the decimal
ASCII for "H".
Complete the following truth table. Identify the last column in the table as
(a) a condition statement,
(b) a fallacy,
(c) a tautology, or
(d) none of these.