Number Systems (Cambridge (CIE) O Level Computer Science)

All data needs to be converted to binary data so that it can be processed by a computer.

Explain why a computer can only process binary data.

The denary values 64, 101 and 242 are converted to 8‑bit binary values.

Give the 8‑bit binary value for each denary value.

64 ................................

101 ................................

242 ................................

The hexadecimal values 42 and CE are converted to binary.

Give the binary value for each hexadecimal value.

42 .................

CE ..................

Denary values are converted to binary values to be processed by a computer.

Draw one line from each denary value to the correctly converted 8‑bit binary value.

Binary values can also be converted to denary values.

Give the correct denary value for the 12‑bit binary value 000101010111

Show all your working.

Denary value ..........................................................

Hexadecimal is used for Hypertext Markup Language (HTML) colour codes.

An HTML colour code is:

#2F15D6

HTML colour codes and Media Access Control (MAC) addresses are two examples of where hexadecimal is used in Computer Science.

Give two other examples of where hexadecimal can be used in Computer Science.

A school network has several computers.

Each computer in the network has a media access control (MAC) address.

Hexadecimal is used for MAC addresses.

Part of a MAC address is given.

97–5C–E1

Each pair of digits is stored as binary in an 8-bit register.

Complete the binary register for these two pairs of digits.

Give two other uses of hexadecimal in Computer Science.

Another value is stored as binary in a register.

A logical left shift of two places is performed on the binary value.

Complete the binary register to show its contents after this logical left shift.

State one effect this logical shift has on the binary value.

Binary is a number system used by computers.

Tick (✓) one box to show which statement about the binary number system is correct.

Denary numbers are converted to binary numbers to be processed by a computer.

Convert these three denary numbers to 8‑bit binary numbers.

50 ...............................

102 ..............................

221 ...............................

Two 8‑bit binary numbers are given.

Add the two 8‑bit binary numbers using binary addition.

Give your answer in binary. Show all your working.