Understanding Number Systems and Conversions

What does base 27 imply in number systems?

• Base 2 with 7 variations

• A system with 27 zeros

• 27 total numbers used

• 27 digits per place value

How do you convert from base 2 to base 10?

• Subtracting each digit

• Multiplying by base number

• Using addition of digits

• Using powers of 2

What is the first step in converting the decimal number 13 to binary?

• Divide by 2

• Multiply by 13

• Count the binary places needed

• Subtract from 100

Which binary digit place does not fit into the number 13?

• 2 to the power of 3

• 2 to the power of 4

• 2 to the power of 2

• 2 to the power of 1

What is the binary representation of 13?

• 1101

• 1011

• 1001

• 1110

Which number system uses digits from 0 to 7?

• Decimal

• Binary

• Octal

• Hexadecimal

What is the base number for the binary system?

• 2

• 10

• 8

• 16

How many different digits are used in the decimal system?

• 8

• 16

• 10

• 2

What does the octal system base indicate?

• Has 8 total numbers

• Only uses the digit 8

• Based on powers of 8

• Uses 8 different digits

In which base system is the number always expressed the same way?

• Octal

• Binary

• All systems express numbers differently

• Decimal