SR latch from two cross-coupled NORs — NOR gate

exam standardthe active-high memory element

Answer

Q⁺ = 1

Why this example is worth doing

The active-high SR latch, and the counterpart to the NAND latch: inputs idle at 0 and are asserted high. Setting both at once drives both outputs low, breaking the invariant that Q and Q̄ are complements, and on release the winner depends on gate delays. The page insists this is a race with a physical outcome, not an undefined value — the circuit does something, it is just not something you can rely on.

Try your own input in the NOR gate. Truth table, symbol and algebraic form for (A + B)′, the other universal gate.

How the answer is reached

The probed row

S = 0, R = 0, Q = 1

Output table

Output table — columns S, R, Q, Q⁺
SRQQ⁺
0000
0011
0100
0110
1001
1011
1101
1111

Compare with

Open the NOR gate

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