APSCP FINAL EXAM WITH QUESTIONS AND
ACCURATE ANSWERS (A+)
This will be an overflow error because 4 bits is not large enough to represent 29, the
sum of14 and 15. - ANSWER A certain programming language uses 4-bit binary
sequences to represent nonnegative integers. For example, the binary sequence 0101
represents the corresponding decimal value 5. Using this programming language, a
programmer attempts to add the decimal values 14 and 15 and assign the sum to the
variable total. Which of the following best describes the result of this operation?
2 times as many items can be uniquely identified. - ANSWER An online store uses 6-bit
binary sequences to identify each unique item for sale. The store plans to increase the
number of items it sells and is considering using 7-bit binary sequences. Which of the
following best describes the result of using 7-bit sequences instead of 6-bit sequences?
Four bits are sufficient to store the eight directions. ANSWER An online video game
character can face toward one of four directions: north, south, east, and west. The
directions are stored in memory as a sequence of four bits. A new version of the game is
developed where the character can face toward one of eight directions: in addition to
the original four, northwest, northeast, southwest, and southeast. Which of the following
is a true statement about how the eight directions should be represented in memory?
9 - ANSWER Which of the decimal values below is NOT equal to one of the 4-bit binary
numbers 0011, 0110, and 1111?
1, 2, and 3 - ANSWER Which of the following are true statements about data that can be
represented using binary sequences?
Binary sequences can be used to represent strings of characters. Binary sequences
can be used to represent colors. And binary sequences can be used to represent audio
recordings.
1001 0100 - SOLUTION Each student that enrolls at a school is assigned a unique ID
number, which is stored as a binary number. The ID numbers increase sequentially by 1
, with each newly enrolled student. If the ID number assigned to the last student who
enrolled was the binary number 1001 0011, what binary number will be assigned to the
next student who enrolls?
The remainder when dividing an integer by 2 and the truth value of a Boolean variable -
SOLUTION Which of the following could be represented with a single binary digit?
The real-word position is approximated by sampling the position of the runner at regular
intervals and each sample is represented by a sequence of bits. ANSWER The position
of a runner in a race is a type of analog data. Sensors are used to track the position of
the runner. Which of the following best describes how the position of the runner is
represented digitally?
Decimal 5, binary 1011, decimal 12, binary 1101 - ANSWER Consider the following
numeric values.
Binary 1011
Binary 1101
Decimal 5
Decimal 12
Which of the following lists the values in order from least to greatest?
1 and 3 - ANSWER Some programming languages support constants. Constants are
variables that are declared at the beginning of a program and never changed. Which of
the following is a good use of a constant?I. The mathematical value π (pi) represented as
3.14II. The current score in a gameIII. A known value such as the number of days in a
week
The song was saved using fewer bits per second than the original song. - ANSWER A
student is recording a song on her computer. When the recording is complete, she
saves a copy onto her computer. The student realizes that the saved copy is of lower
sound quality compared to the original recording. Which of the following could be a
possible explanation for the difference in sound quality?
ACCURATE ANSWERS (A+)
This will be an overflow error because 4 bits is not large enough to represent 29, the
sum of14 and 15. - ANSWER A certain programming language uses 4-bit binary
sequences to represent nonnegative integers. For example, the binary sequence 0101
represents the corresponding decimal value 5. Using this programming language, a
programmer attempts to add the decimal values 14 and 15 and assign the sum to the
variable total. Which of the following best describes the result of this operation?
2 times as many items can be uniquely identified. - ANSWER An online store uses 6-bit
binary sequences to identify each unique item for sale. The store plans to increase the
number of items it sells and is considering using 7-bit binary sequences. Which of the
following best describes the result of using 7-bit sequences instead of 6-bit sequences?
Four bits are sufficient to store the eight directions. ANSWER An online video game
character can face toward one of four directions: north, south, east, and west. The
directions are stored in memory as a sequence of four bits. A new version of the game is
developed where the character can face toward one of eight directions: in addition to
the original four, northwest, northeast, southwest, and southeast. Which of the following
is a true statement about how the eight directions should be represented in memory?
9 - ANSWER Which of the decimal values below is NOT equal to one of the 4-bit binary
numbers 0011, 0110, and 1111?
1, 2, and 3 - ANSWER Which of the following are true statements about data that can be
represented using binary sequences?
Binary sequences can be used to represent strings of characters. Binary sequences
can be used to represent colors. And binary sequences can be used to represent audio
recordings.
1001 0100 - SOLUTION Each student that enrolls at a school is assigned a unique ID
number, which is stored as a binary number. The ID numbers increase sequentially by 1
, with each newly enrolled student. If the ID number assigned to the last student who
enrolled was the binary number 1001 0011, what binary number will be assigned to the
next student who enrolls?
The remainder when dividing an integer by 2 and the truth value of a Boolean variable -
SOLUTION Which of the following could be represented with a single binary digit?
The real-word position is approximated by sampling the position of the runner at regular
intervals and each sample is represented by a sequence of bits. ANSWER The position
of a runner in a race is a type of analog data. Sensors are used to track the position of
the runner. Which of the following best describes how the position of the runner is
represented digitally?
Decimal 5, binary 1011, decimal 12, binary 1101 - ANSWER Consider the following
numeric values.
Binary 1011
Binary 1101
Decimal 5
Decimal 12
Which of the following lists the values in order from least to greatest?
1 and 3 - ANSWER Some programming languages support constants. Constants are
variables that are declared at the beginning of a program and never changed. Which of
the following is a good use of a constant?I. The mathematical value π (pi) represented as
3.14II. The current score in a gameIII. A known value such as the number of days in a
week
The song was saved using fewer bits per second than the original song. - ANSWER A
student is recording a song on her computer. When the recording is complete, she
saves a copy onto her computer. The student realizes that the saved copy is of lower
sound quality compared to the original recording. Which of the following could be a
possible explanation for the difference in sound quality?
