Coding and Decoding
Coding & Sequencing: Coding and Decoding
Coding and Decoding
Coding and Decoding
What you will learn
- How simple letter-shift codes work (each letter moves forward or backward a fixed number of places).
- How to decode a word once you know the rule used to make the code.
- How letters can be turned into numbers (A=1, B=2, ... Z=26) to build number-based codes.
Key concepts
Level 1 — Shift codes
Verbal: Every letter of the word moves forward by the same number of places in the alphabet.
Symbolic: If CAT is coded as DBU, each letter moved forward by 1 (C->D, A->B, T->U).
| Word | Shift | Code |
|---|---|---|
| DOG | +2 | FQI |
| SUN | +1 | TVO |
Level 2 — Reverse + shift
Verbal: First reverse the order of the letters, then shift each letter forward.
Level 3 — Number codes
Verbal: Replace each letter with its alphabet position (A=1 ... Z=26) and add the numbers together.
Example: CAT -> C=3, A=1, T=20 -> sum = 24.
Worked example
If BAT is coded as CBU (shift +1), how is CAT coded?
Step 1 - Rule: shift each letter forward by 1
Step 2 - C -> D, A -> B, T -> U
Answer: DBU
If each letter's number is added up, what is the code for DOG?
Step 1 - D=4, O=15, G=7
Step 2 - Sum = 4 + 15 + 7 = 26
Answer: 26
Common mistakes
| Mistake | Why it happens | Fix |
|---|---|---|
| Shifting the wrong direction | Confusing forward and backward | Check the example pair carefully first |
| Forgetting to reverse before shifting | Skipping a step | Write the reversed word first, then shift |
| Wrong alphabet number | Miscounting from A | Use a written A-Z=1-26 chart |
| Adding numbers incorrectly | Arithmetic slip | Add the numbers one at a time, checking the running total |
Quick check
- If letters shift forward by 2, what does BUS become?
- What is the alphabet number of the letter M?
- Reverse the word MAP.
- Stretch: If CAT is coded using letter-number sum, and DOG uses the same rule, which word has the bigger code?
Revision tip: Always confirm the rule using the example pair before decoding the new word.
Open the Practice tab for graded questions on Coding and Decoding.
Key Takeaways (TL;DR)
- What you will learn
- Key concepts
- Worked example
- Common mistakes
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