Exploring Number Bases, Modular Arithmetic, indices and standard form

Convert the decimal number 45 to binary.

• 101010

• 101101

• 110101

• 100111

What is the hexadecimal representation of the decimal number 255?

• FF

• F0

• FE

• FF0

Convert the binary number 101101 to decimal.

• 15

• 45

• 60

• 30

Perform the operation 1010 (base 2) + 1101 (base 2) and give the result in binary.

• 1010

• 10111

• 10001

• 1110

What is the result of 7 mod 3?

• 0

• 1

• 2

• 3

Convert the octal number 17 to decimal.

• 15

• 12

• 16

• 14

If a number in base 5 is represented as 243, what is its decimal equivalent?

• 64

• 85

• 73

• 50

Perform the operation 15 mod 4 and provide the answer.

• 1

• 2

• 4

• 3

Convert the decimal number 100 to its base 8 equivalent.

• 144

• 64

• 120

• 200

What is the result of 110 (base 2) - 101 (base 2) in binary?

• 1

• 100

• 10

• 111