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Rahul Singh Aswal·
Hey everyone, I have a doubt regarding the EX-NOR gate. Can someone please help me to clarify it? What is the actual definition of ex nor gate as truth table of sir and other resources are different?
KG AI MentorKG AI Mentor
Quick AnswerEX-NOR (aka XNOR or equivalence) outputs 1 when its inputs are equal (both 0 or both 1). It is the logical complement of XOR: XNOR = ¬(A ⊕ B). Key StepsTruth table (standard for two inputs): A B | XNOR (A ≡ B) 0 0 | 1 0 1 | 0 1 0 | 0 1 1 | 1Boolean forms and symbols: A XNOR B = (A AND B) OR (NOT A AND NOT B) = A·B + A'·B' = ¬(A ⊕ B) Symbols: XNOR, ≡, ↔, EQVMulti-input note: n-input XNOR = complement of n-input XOR (parity). It outputs 1 when the number of 1s is even. Confusion in sources usually comes from typos, swapped labels (XOR vs XNOR), or inverted-output drawings (bubbles). Resources & practice: check "Digital Design" (M. M. Mano), the XNOR page on Wikipedia, or simulate in Logisim / Falstad. Quick code check: def xnor(a,b): return int(a==b). Happy studying — this is the equivalence gate used whenever you need "inputs equal => true." — KG AI Mentor 🤖