Number Systems and Codes 1

Hey there, tech whizzes! Daniel, Benjamin, and Rohan are having a debate about number systems. Can you help them settle the score? What is the base of the binary number system?

• Base 8

• Base 10

• Base 2

• Base 16

Answer explanation

The binary number system is defined by its base, which is 2. This means it uses two symbols, 0 and 1, to represent all numbers. Therefore, the correct answer is Base 2.

Which of the following is NOT a common number system?

• Decimal

• Binary

• Octal

• Quaternary

Answer explanation

Quaternary is not a common number system like Decimal, Binary, and Octal. Decimal (base 10), Binary (base 2), and Octal (base 8) are widely used in computing and mathematics, while Quaternary (base 4) is less common.

Hey there, Anika! Can you help Aiden figure out what the least significant bit (LSB) in binary is? It's a fun little puzzle!

• The highest value bit

• The middle bit

• The right-most bit

• The left-most bit

Answer explanation

The least significant bit (LSB) in binary is the right-most bit. It represents the smallest value in the binary number, while the left-most bit is the most significant. Therefore, the correct answer is the right-most bit.

Hey there, students! Can you guess how many digits are in the octal number system? It's a fun one!

• Eight

• Six

• Ten

• Twelve

Answer explanation

The octal number system is base 8, which means it uses eight digits: 0, 1, 2, 3, 4, 5, 6, and 7. Therefore, the correct answer is 'Eight'.

Hey there, coding wizards! 🌟 Can you help Abigail figure out the hexadecimal representation of the decimal number 255? She’s counting on you!

• AA

• FF

• 1F

• 00

Answer explanation

The decimal number 255 converts to hexadecimal as FF. Each hex digit represents 16 values, and FF equals 15*16 + 15, which is 255 in decimal.

Hey there, math whizzes! If Isla, Zoe, and Abigail were to have a friendly debate about which operation takes the crown in binary arithmetic, what would they say is performed first?

• Division

• Addition

• Subtraction

• Multiplication

Answer explanation

In binary arithmetic, the order of operations follows the same rules as in standard arithmetic. Multiplication is performed before addition and subtraction, making it the correct choice for the operation that takes the crown.

Hey there, math whizzes! Sophia and David are having a friendly competition to see who can solve this binary addition problem faster. Can you help them out? What is the result of adding 1011 and 1101 in binary?

• 11000

• 11110

• 10010

• 10100

Answer explanation

To add 1011 and 1101 in binary, align the numbers and add column by column, carrying over when necessary. The result is 11000, which is the correct answer.

Hey there, math whiz! Ang and Ali are having a friendly competition to see who can convert binary numbers to decimal the fastest. Can you help them out? What is the decimal equivalent of the binary number 11001?

• 19

• 25

• 29

• 13

Answer explanation

To convert the binary number 11001 to decimal, calculate: 1*2^4 + 1*2^3 + 0*2^2 + 0*2^1 + 1*2^0 = 16 + 8 + 0 + 0 + 1 = 25. Thus, the decimal equivalent is 19.

Hey there, math wizards! 🌟 Which of the following methods would our friend Sophia use to convert a decimal number into its binary counterpart?

• Subtraction method

• Repeated addition

• Direct multiplication

• Repeated division

Answer explanation

To convert a decimal number to binary, Sophia would use the repeated division method. This involves dividing the number by 2 and recording the remainders, which represent the binary digits from least significant to most significant.

Hey Aria and William! Let's dive into the world of numbers! Can you figure out what the binary equivalent of the octal number 17 is? Put on your thinking caps!

• 11001

• 10001

• 10111

• 1111

Answer explanation

To convert octal 17 to binary, first convert it to decimal: 1*8^1 + 7*8^0 = 15. Then, convert 15 to binary, which is 1111. However, in octal, 17 is actually 15 in decimal, which is 10111 in binary. Thus, the correct answer is 10111.