Decode the sign string to digits using the given number→sign coding. Coding: 1→%, 2→x, 3→-, 4→+, 5→>, 6→<, 7→∧, 8→∨, 9→$ Given sign string: > $ x ∨ %

Difficulty: Easy

Correct Answer: 59281

Explanation:


Introduction / Context:
We are supplied a digit→sign table and asked to invert it: read a sign string and recover the digits. This is straightforward reverse substitution.


Given Data / Assumptions:

  • 1→%, 2→x, 3→-, 4→+, 5→>, 6→<, 7→∧, 8→∨, 9→$.
  • Sign string (left→right): > $ x ∨ %.


Concept / Approach:
Build the inverse map (sign→digit) then decode sequentially.


Step-by-Step Solution:

> → 5$ → 9x → 2∨ → 8% → 1Number: 59281


Verification / Alternative check:
Re-encode 59281 with the original map to get the given sign string.


Why Other Options Are Wrong:

  • Each differs in at least one position (often swapping the middle “2” and “8” or the trailing “1”).


Common Pitfalls:
Reading ∨ as V and confusing it with a letter; note it is the logical OR symbol mapped from 8.


Final Answer:
59281

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