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3.1-3.10 AP-Style MC Practice & Quizzes Questions and Answers

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3.1-3.10 AP-Style MC Practice & Quizzes Questions and Answers Which of the following can be represented by a single binary digit? a)The temperature setting of a thermostat. b)A darkness setting on a toaster. c)The speed limit on a major highway. d)The direction of travel for an elevator. d)...

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  • January 2, 2025
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3.1-3.10 AP-Style MC Practice & Quizzes
Questions and Answers
Which of the following can be represented by a single binary digit?

a)The temperature setting of a thermostat.
b)A darkness setting on a toaster.
c)The speed limit on a major highway.
d)The direction of travel for an elevator. - answer d)The direction of travel for an
elevator.

-This is correct. The direction of an elevator can take only 2 values (up/down), therefore
a single binary digit would be sufficient to represent this information (e.g. using a 1 to
represent up and a 0 to represent down).

Which of the following questions cannot be easily answered using a binary set of
answers?

a)Which is the best song new song from last year?
b)Would you like to go to the store?
c)Do you prefer Mac or PC computers?
d)When you write with a pen or pencil, which hand do you use? - answer a)Which is
the best song new song from last year?

-This is correct. There are many possible answers to this question, as in one year many
thousands of songs are released. A binary set of answers only allows for 2 possibilities,
represented by a 1 or a 0.

Which of the following statements about 32-bit binary values is NOT true?

a)All real numbers within a finite interval can be expressed by a 32-bit integer
representation.
b)All whole numbers within a finite interval can be expressed by a 32-bit floating-point
representation.
c)All real numbers within a finite interval can be approximately expressed by a 32-bit
floating-point representation.
d)All whole numbers within a finite interval can be expressed by a 32-bit integer
representation. - answer a) All real numbers within a finite interval can be expressed
by a 32-bit integer representation.

-This is correct. This is a false statement. The term "real numbers" refers to all numbers,
including irrational numbers like π and 2 as well as infinitely repeating decimals. Every

, finite interval contains infinitely many of these real numbers, therefore it is not possible
to represent them all using a finite amount of digits.

What is the binary equivalent to the decimal number of 78?

a)1001100
b)1100110
c)1001110
d) - answer c)1001110

-This is correct. The value of 78 can be found using the following algorithm: Find the
highest power of 2 which is smaller than or equal to 78: this is 26 = 64. Subtract this
from 78: 78 − 64 = 14. Repeat this procedure until 0 is reached: the largest power of 2
smaller than or equal to 14 is 23 = 8 and 14 − 8 = 6. The largest power of 2 which is
smaller than or equal to 6 is 22 = 4 and 6 − 4 = 2. The largest power of 2 which is
smaller than or equal to 2 is 21 = 2 and 2 − 2 = 0. Having completed this algorithm we
can see that 78 = 21 + 22 + 23 + 26. As the nth column from the right in a binary
number represents 2n, this tells us that the 2nd, 3rd, 4th and 7th digits from the right will
be 1's and the other digits will be 0's giving us the binary number 1001110.

Which of the following decimal values, when converted to binary (ignore leading zeros)
have exactly 3 zeros in them?

Select two answers.

a)40
b)50
c)20
d)30 - answer b)50

-This is correct. The binary representation of 50 is 110010, so this has exactly 3 zeros in
it.

&

c)20

-This is correct. The binary representation of 20 is 10100, so this has exactly 3 zeros in
it.

ASCII is a common format for the representation of characters in writing code. How
many characters can be represented in the standard ASCII encoding?

a)2^8
b)2^16
c)2^15

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