Computer Science_Year 7/8/9/10/11 _Exam with Answer_Number systems ( Binary and Hexadecimal)

Computer Science_Year 7/8/9/10/11 _Exam with Answer_1.1 Number systems
Computer Science_Year 7/8/9/10/11 _Exam with Answer_1.1 Number systems
Data representation
1.1 Number systems
Candidates should be able to:
1 Understand how and why computers use binary to represent all forms of data
2 (a) Understand the denary, binary and hexadecimal number systems
(b) Convert between
(i) positive denary and positive binary
(ii) positive denary and positive hexadecimal
(iii) positive hexadecimal and positive binary
3 Understand how and why hexadecimal is used as a beneficial method of data representation
4 (a) Add two positive 8-bit binary integers
(b) Understand the concept of overflow and why it occurs in binary addition
Notes and guidance
• Any form of data needs to be converted to binary to be processed by a computer
• Data is processed using logic gates and stored in registers
• Denary is a base 10 system
• Binary is a base 2 system
• Hexadecimal is a base 16 system