levo

Advanced Data Structures and Logic

Hash tables and collision resolution

  • 3 things to know
  • A2 Unit 3

Overview

Hash table, how linear probing resolves a collision and primary clustering.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

What is a hash table?

Key term

What does a hash function do?

Key term

Why is the remainder after division by the table size a suitable basis for a hash function?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a hash table?

    Model answer

    A hash table is an array in which the position of an item is calculated from its key, so the item is reached directly instead of being searched for.

  2. 2

    What does a hash function do?

    Model answer

    A hash function turns a key of any size into a subscript lying within the bounds of the table.

  3. 3

    Why is the remainder after division by the table size a suitable basis for a hash function?

    Model answer

    The remainder always lies between zero and one less than the table size, so it is guaranteed to be a legal subscript.

  4. 4

    A hash table has 11 slots and hashes a key by taking the key MOD 11. Which slot does the key 45 map to?

    Model answer

    11 × 4 = 44, so 45 MOD 11 is 1 and the key maps to slot 1.

  5. 5

    Why is a prime number a good choice for the size of a hash table that hashes with MOD?

    Model answer

    A prime divisor spreads keys that share a common factor across the whole table instead of piling them into a few slots.

  6. 6

    What is a collision in a hash table?

    Model answer

    A collision occurs when the hash function gives the same slot for two different keys.

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.

Hardware: Architecture, Memory and Storage
Networks and Data Transmission
Logic Gates and Boolean Algebra
Data Representation and Data Types

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.

Fetch, , execute.
decodecompilestore

Blank Blitz makes facts automatic

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

AEncryption is reversible.
BThe stored form could be decrypted.
CA hash cannot be reversed.

Build It gets the exam shape right

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

A bit is a single binary digit.
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 Advanced Data Structures and Logic, 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.