Data representation

Anaya is learning about binary numbers in her computer science class. Her teacher, Priya, asked her to convert the binary number 1100 to its decimal equivalent. What should Anaya's answer be?

• Anaya should tell Priya that the decimal equivalent of the binary number 1100 is 12.

• Anaya should tell Priya that the decimal equivalent of the binary number 1100 is 10.

• Anaya should tell Priya that the decimal equivalent of the binary number 1100 is 20.

• Anaya should tell Priya that the decimal equivalent of the binary number 1100 is 13.

Answer explanation

The question asks to convert the binary number 1100 to its decimal equivalent. Binary numbers are based on powers of 2. Starting from the right, the equivalent decimal representation of 1100 is (2^3)*1 + (2^2)*1 + (2^1)*0 + (2^0)*0 = 8 + 4 + 0 + 0 = 12. Therefore, the correct answer is that the decimal equivalent of the binary number 1100 is 12.

Charlie, Ishaan, and Jacob are learning about binary numbers in their computer science class. Their teacher asked them to convert the decimal number 10 into binary. What is the correct binary equivalent of the decimal number 10 that they should answer?

• 1010

• 1000

• 1001

• 1011

Answer explanation

The question asks to convert the decimal number 10 into binary. The correct binary equivalent of the decimal number 10 is '1010'. The binary system is based on powers of 2. Here, the binary '1010' translates to 2³*1 + 2²*0 + 2¹*1 + 2⁰*0 = 8 + 0 + 2 + 0 = 10 in decimal.

Harry, James, and Leo are learning about computers. They learn that all data in a computer is stored in a certain form. This form has two possible states. What are these states called in binary form?

• 0 or 1

• 1 or 2

• 1 or 10

• 1 - 10

• False

Answer explanation

In binary form, the two possible states data can be stored in are called 0 and 1. This is the fundamental concept of binary system in computer science. Thus, the correct option is '0 or 1'.

Lily and James are learning about binary numbers in their computer science class. Their teacher gave them a task to add the following binary numbers: 1010 + 1111. Can you help them solve it?

Answer explanation

The question is asking to add two binary numbers: 1010 and 1111. To solve this you need to perform binary addition similar to decimal addition. Starting from the right: 0+1=1, 1+1=10 (write down 0 carry 1), 1+1+carried 1=11 (write down 1 carry 1), 1+1+carried 1=11 (write down 1 carry 1), the carried 1 becomes a new binary digit at left. So the sum is 11001, which in decimal is 25.

Kiara is learning about binary numbers in her computer science class. Her teacher, Florence, asked her to convert the decimal number 10 into binary. What is the correct binary equivalent that Kiara should answer?

• 1010

• 1100

• 1011

• 1000

Answer explanation

The question is asking to convert the decimal number 10 into binary. In binary representation, the number 10 translates to 1010. Each digit in this binary number represents a power of 2, from right to left the powers are 0, 1, 2, 3, and the corresponding binary digit is either 0 (no power of 2) or 1 (presence of power of 2). Thus, the correct answer is 1010.

Isla is learning about binary numbers in her computer science class. Her teacher, Sebastian, asked her to convert the binary number 1111 into its decimal equivalent. What should Isla's answer be?

• 15

• 12

• 14

• 10

Answer explanation

The binary number 1111 is converted to decimal by starting from the rightmost digit and adding 2 raised to the power of the position for each '1'. So, 2^0 + 2^1 + 2^2 + 2^3 = 1 + 2 + 4 + 8 = 15. Thus, Isla's answer should be 15, as it's the correct decimal equivalent of the binary number 1111.

Amelia is learning about binary numbers in her computer science class. Her teacher, Kiara, asked her to convert the binary number 0111 into a decimal number. What is the correct decimal equivalent that Amelia should tell Kiara?

• Amelia should tell Kiara that the decimal equivalent of the binary number 0111 is 7

• Amelia should tell Kiara that the decimal equivalent of the binary number 0111 is 4

• Amelia should ask Kiara what is the decimal equivalent of the binary number 0111

• Amelia should tell Kiara that the decimal equivalent of the binary number 0111 is 11

Answer explanation

The question asked about converting the binary number 0111 into a decimal. In the binary number system, 0111 equals to 7 in the decimal system. Therefore, the correct response is that Amelia should tell Kiara that the decimal equivalent of the binary number 0111 is 7.

William is telling Poppy and Aarav that computers only communicate using binary. Is he correct?

• True

• False

Answer explanation

William is indeed correct. Computers use binary code, which is made up of bits (1s and 0s), to process information. This binary system is fundamental to all digital technology. So, the statement that computers only communicate using binary is true.

Four bits or half a byte is known as a bit.

• False
• True

Charlie has a file of size 1,000 bytes (1,000 B). This size is better known as what in computer terms?

• 1 megabyte (MB)

• 1 kilobyte (KB)

• 1 gigabyte (GB)

• 1 terabyte (TB)

Answer explanation

In digital storage, 1 kilobyte (KB) is equivalent to 1,000 bytes. So, when the file size is mentioned as 1,000 bytes, it's better known as 1 kilobyte (KB) in computer terms. This is why the correct answer is 1 kilobyte (KB), not 1 megabyte (MB), 1 gigabyte (GB), or 1 terabyte (TB), which are all larger units of digital storage.