Number Storage - Year 9

Why are hexadecimal numbers used as an alternative to binary?

• They have fewer possible values than binary.

• They are based on the decimal number system.

• They can represent larger numbers more compactly.

• They are easier for computers to process.

Convert the binary value 00101010 to denary.

• 52

• 42

• 72

• 84

Convert the denary value 35 to binary.

• 00100001

• 00110001

• 00100011

• 00100010

Convert the binary value 11110101 to hexadecimal.

• F5

• D4

• E5

• B3

Convert the hexadecimal value C2 to binary.

• 11000010

• 11010010

• 10110010

• 10000110

Convert the denary value 134 to hexadecimal.

• 7C

• 8E

• 86

• 9A

Convert the hexadecimal value 32 to denary.

• 70

• 80

• 60

• 50

What is an overflow error?

• When there is an error in converting binary to hexadecimal.

• When the binary value is too small to be processed.

• When a binary addition results in a negative number.

• When a binary value is too large to be stored in the available bits.

Add the binary values 01011001 and 01000101. Does an overflow error occur?

• No overflow error

• Yes, overflow error

• Invalid operation

• Cannot be determined

What is the effect of shifting a binary number left by 1 place?

• Divides the number by 2

• Multiplies the number by 2

• No effect

• Subtracts 1 from the number