IntroCS U9 Binary Numbers Practice Quiz

Which of the following best describes how computing devices represent information?

• A computer will either represent information as bits or bytes but not both
• A computer represents data as a byte which is either a 0 or a 1
• A computer represents data as bits which is either a 0 or a 1
• A computer represents information as bits which contain 8 bytes

Your computer uses 4 bits to represent decimal numbers (0, 1, 2, 3 and so on) in binary. What is the SMALLEST number for which an overflow error occur?

• 14
• 15
• 16
• 17

Which of the following is true of how computers represent numbers?

• With a fixed number of bits some numbers are too large to represent in a computer which will lead to overflow errors.
• Using a fixed but large number of bits can eliminate the possibility of round off error when representing numbers in binary
• Using a fixed but large number of bits, for example 128, eliminates the possibility of overflow errors.
• With a large but fixed number of bits it is possible to eliminate either round-off errors or overflow errors, but not both.

How many bits are in a single byte?

• 4

• 8

• 12

• 16

Which of the following is the best definition of a bit?

• An electrical signal in a wire

• A physical signal that becomes a digital signal

• A measure of computer graphics and sound

• A single 1 or 0 in a digital signal

The only two digits used in the binary number system are _______.

• one and two

• zero and one

• zero and two

• two and three

Which of the following is the correct binary representation of the number 2?

• 110

• 101

• 10

• 11

Convert the binary (base-2) number 0011 0001 to decimal (base-10).

• 32
• 64
• 49
• 121

Convert the decimal (base-10) number 129 to binary (base-2).

• 1000 0001
• 1100 0001
• 0110 0110
• 0001 1111

Which of these binary (base-2) numbers is the smallest?

• 1000 0001
• 1100 0001
• 0110 0110
• 0001 1111