Exploring Number Systems

What are the different types of numbers?

• Natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers.

• Complex numbers

• Binary numbers

• Hexadecimal numbers

Define a binary number.

• A binary number is a number represented in hexadecimal format.

• A binary number is a number in base-2 using only the digits 0 and 1.

• A binary number is a number in base-10 using digits 0-9.

• A binary number is a number that can only be negative.

What is the base of the decimal number system?

• 8

• 10

• 16

• 2

How do you convert a decimal number to binary?

• Convert each digit to its hexadecimal equivalent.

• Add 1 to the decimal number and convert to octal.

• Multiply the decimal number by 2 and read the results.

• Divide the decimal number by 2, record the remainders, and read them in reverse.

What is an octal number?

• An octal number is a number in base-8 using digits 0-7.

• A number in base-10 using digits 0-9.

• A binary number using digits 0-1.

• A hexadecimal number using digits 0-15.

What is the base of the hexadecimal number system?

• 12

• 10

• 16

• 8

How many digits are used in binary numbers?

• 8

• 2

• 4

• 3

What is the decimal equivalent of the binary number 1010?

• 10

• 11

• 1000

• 1011

How do you perform addition in binary?

• Add binary numbers from left to right without carrying

• Align binary numbers, add from right to left, carry over as needed.

• Convert binary to decimal before adding

• Use hexadecimal addition rules for binary numbers

What is the octal equivalent of the decimal number 8?

• 11

• 10

• 9

• 7