Self-Study 15 (J277) 1.2 Converting between denary & binary

What is the base system used by computers to store numbers?

• Hexadecimal

• Binary

• Octal

• Denary

How many unique symbols does the denary system use to represent all numbers?

• 2

• 10

• 16

• 8

What is the binary representation of the number 3 in 3 bits?

• 1-0-0

• 0-1-0

• 1-1-1

• 0-1-1

Which method involves dividing the number by 2 and noting the remainder to convert from denary to binary?

• Modulus method

• Divide-by-two method

• Subtraction method

• Binary number line method

What is the binary representation of the number 89 using the divide-by-two method?

• 0-1-1-0-0-1-1-0

• 1-0-1-1-0-0-1

• 0-1-0-1-1-0-0-1

• 1-1-0-1-0-0-1-1

How many bits are students expected to convert at GCSE level?

• 8 bits

• 4 bits

• 16 bits

• 32 bits

What is the first step in the binary number line method when converting the number 89 to binary?

• Start with 32

• Start with 16

• Start with 64

• Start with 128

What is the binary equivalent of the number 102 in denary?

• 1-0-1-0-0-1-0-1

• 0-1-1-0-0-1-1-0

• 1-1-0-0-1-1-0-0

• 0-1-0-1-1-0-0-1

What is the significance of padding with leading 0s in binary representation?

• To change the base system from binary to denary

• To meet a specific number of bits requirement

• To make the binary number easier to read

• To increase the value of the binary number

What is the primary difference between the denary and binary number systems?

• The symbols used to represent numbers

• The base of the system

• The method of conversion to other number systems

• The use in computing technology