Number Bases Quiz

How many bases do binary, decimal, and hexadecimal numbers have?

• 2, 10, and 16.

• 4, 20, and 32

• 8, 40, and 64

Answer explanation

Binary numbers have 2 bases, decimal numbers have 10 bases, and hexadecimal numbers have 16 bases.

Convert 11111 into decimal.

• 29

• 31

• 33

• 35

Answer explanation

To convert 11111 into decimal, we use the formula: (1*2^4) + (1*2^3) + (1*2^2) + (1*2^1) + (1*2^0) = 16 + 8 + 4 + 2 + 1 = 31. Therefore, the correct answer is 31.

Convert 1011 into decimal.

• 9

• 10

• 11

• 12

Answer explanation

To convert 1011 into decimal, we use the formula: (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (1 * 2^0) = 8 + 0 + 2 + 1 = 11. Therefore, the decimal equivalent of 1011 is 11.

Convert 9 into binary.

• 1000

• 1001

• 1010

• 1100

Answer explanation

To convert 9 into binary, divide by 2 repeatedly and note the remainders. The remainders in reverse order give the binary representation, which is 1001. Therefore, the correct choice is 1001.

Convert 13 into binary.

• 1101

• 1011

• 1110

• 1001

Answer explanation

To convert 13 into binary, divide by 2 repeatedly and note the remainders. The remainders in reverse order give the binary equivalent: 13 / 2 = 6 remainder 1, 6 / 2 = 3 remainder 0, 3 / 2 = 1 remainder 1, 1 / 2 = 0 remainder 1. Therefore, 13 in binary is 1101.

What is the difference between primary and secondary data?

Answer explanation

Primary data is collected firsthand, while secondary data is obtained from existing sources like books or articles.

Which of the following is an example of primary and secondary data collection methods?

• Surveys and literature reviews

• Experiments and case studies

• Interviews and newspaper articles

• Observations and textbooks

Answer explanation

Surveys and literature reviews are examples of primary and secondary data collection methods, respectively.

A text file that contains 128 characters is created. Each character is 8 bits (1 byte). How many bytes will the file size be?

• 128 bytes

• 256 bytes

• 64 bytes

• 32 bytes

Answer explanation

Since each character is 8 bits (1 byte) and there are 128 characters, the file size will be 128 bytes in total.

A text file that contains 128 characters is created. Each character is 16 bits (2 bytes). How many bytes will the file size be?

• 128 bytes

• 256 bytes

• 512 bytes

• 64 bytes

Answer explanation

Each character is 16 bits, so 128 characters would be 128 * 16 = 2048 bits. Converting bits to bytes (1 byte = 8 bits), the file size would be 2048 / 8 = 256 bytes.

If an image has a 3-bit color depth, how many colors can it have?