JK flip-flop, J = 1, K = 1 — flip-flops

corethe row that makes JK useful

Answer

Q⁺ = 1

Why this example is worth doing

Where SR forbids both inputs asserted, JK defines it as toggle — and that single decision turns the device into a frequency divider and the building block of every ripple counter. The page gives the characteristic equation Q⁺ = J·Q̄ + K̄·Q and shows the toggle row falling out of it, so the behaviour is derived rather than memorised as a special case.

Try your own input in the Flip-flops & latches. SR, D, JK and T: characteristic tables, excitation tables and timing diagrams.

How the answer is reached

The probed row

J = 1, K = 1, Q = 0

Output table

Output table — columns J, K, Q, Q⁺
JKQQ⁺
0000
0011
0100
0110
1001
1011
1101
1110

Compare with

Open the Flip-flops & latches

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