SR latch, S = 1, R = 0 — flip-flops

introthe set operation

Answer

Q⁺ = 1

Why this example is worth doing

Asserting S drives Q high and it stays there after S is released, which is the entire point: the circuit remembers. The page introduces the next-state notation Q⁺ here, because a sequential device needs a column for the current state that no combinational truth table has, and getting that extra column into the reader's head early is what makes every later table on the page readable.

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

S = 1, R = 0, Q = 0

Output table

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

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