levo

Number Systems and Binary Arithmetic

Hexadecimal notation

  • 3 things to know
  • Component 2

Overview

Base of the hexadecimal number system and denary values of the hexadecimal digits A to F.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

What is the base of the hexadecimal number system?

Key term

State the denary values of the hexadecimal digits A to F.

Key term

Why is hexadecimal a convenient shorthand for binary?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is the base of the hexadecimal number system?

    Model answer

    Hexadecimal is a base 16 system. The sixteen digits run 0 to 9 and then A to F.

  2. 2

    State the denary values of the hexadecimal digits A to F.

    Model answer

    A is 10, B is 11 and C is 12. D is 13, E is 14 and F is 15.

  3. 3

    Why is hexadecimal a convenient shorthand for binary?

    Model answer

    One hexadecimal digit represents exactly four binary bits, because 16 is 2⁴. A byte therefore needs only two hexadecimal digits instead of eight binary ones.

  4. 4

    Convert binary 11010110 to hexadecimal.

    Model answer

    Binary 11010110 splits into the nibbles 1101 and 0110. The nibble 1101 is D and 0110 is 6, giving hexadecimal D6.

  5. 5

    Convert hexadecimal 3F to binary and to denary.

    Model answer

    Hexadecimal 3F is 00111111 in binary. The denary value is 63.

  6. 6

    Convert hexadecimal A9 to 8-bit binary.

    Model answer

    Hexadecimal A9 is 10101001 in binary. The digit A gives 1010 and the digit 9 gives 1001.

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book
2Open book
3Closed book

The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Data Structures: Arrays, Records and Hash Tables
Stacks, Queues, Linked Lists and Trees
Boolean Logic and Simplification
Algorithms, Pseudo-Code and Programming Constructs

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

KDW to HAT.
decryptsencryptscompresses

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

AThe two are not the same.
BOpen source refers to the availability of the code.
CMuch open source software is free of charge.

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Backup means the copy of the data.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Number Systems and Binary Arithmetic, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Or £46 a year, about £3.83 a month. Cancel anytime.