XOR — IEEE double curve vs IEC `=1` — logic gate symbols

exam standardwhy the qualifier is `=1` and not `⊕`

Answer

output column 0110

Why this example is worth doing

The IEC qualifier for XOR is =1, meaning exactly one input is true — which is the correct reading for two inputs but diverges for more, because a multi-input XOR is odd-parity rather than exactly-one. The page is explicit that =1 on a three-input rectangle means one-hot, not parity, and that odd-parity needs the 2k+1 qualifier. This is a genuine trap in reading European schematics and it is almost never mentioned in introductory material.

Try your own input in the Logic gate symbols. Every gate in both symbol standards, side by side, on a printable one-page chart.

How the answer is reached

Truth table

Truth table — columns #, A, B, A ⊕ B
#ABA ⊕ B
0000
1011
2101
3110

Compare with

Open the Logic gate symbols

This input is entered in the tool itself — it is too rich for a link to carry.

Note:

Notation this page assumes

  • Symbols: · is AND, + is OR, ⊕ is XOR, a prime or an overline is NOT. The field also takes ∧ ∨ ¬ ~ ! & | and the words.
  • Operator precedence, tightest first: NOT, then AND (including juxtaposition), then XOR/XNOR, then NAND/NOR, then OR, then IMPLIES, then IFF.
  • Gate symbols follow whichever standard the header toggle is set to: ANSI/IEEE Std 91-1984 distinctive shapes, or IEC 60617-12 rectangles.

Sources

  • ANSI/IEEE Std 91-1984, Graphic Symbols for Logic Functions
  • IEC 60617-12, Graphical Symbols for Diagrams — Binary Logic Elements