ExamShortcut

Coding - Decoding

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high importance~4 Q in Tier 16 formulas⚡ 10 shortcuts7 subtopics

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Letter shift coding

Shift list
\text{code}_i = \text{letter}_i + d_i \pmod{26}

d is the shift for place i, found from the sample. Above 26, subtract 26.

Decoding
\text{letter}_i = \text{code}_i - d_i \pmod{26}

To decode, subtract the same shifts. At 0 or below, add 26.

Number coding

Position sum
\text{code} = \sum p_i

p = position of a letter, A = 1 … Z = 26.

Sum with an extra step
\text{code} = k \cdot \sum p_i + r

Find k (multiply) or r (add) from the sample. Check with a second sample if one is given.

Weighted sum
\text{code} = \sum i \cdot p_i

i = place of the letter in the word (1st, 2nd, 3rd …).

Reverse positions
p^{\text{rev}} = 27 - p

Z counts as 1 and A as 26.