1. Edge Triggered Flip Flops (extended slides)

2. Level-Sensitive Flip-Flop Level-sensitive flip-flop (also called a latch) Q changes whenever clock is high D Q CLK D Q

3. Level-Sensitive Flip-Flop NMOS transistor often replaced with transmission gate Transmission gate includes both NMOS and PMOS transistors because NMOS good at passing 0 and PMOS good at passing 1 Transmission Gate CLK 6 Transistors CLK D Q D Q

4. Master-Slave Edge-Triggered Flip-Flop Can connect two level-sensitive latches in Master-Slave configuration to form edge-triggered flip-flop Master latch catches value of D at Q M when CLK is low Slave latch causes Q to change only at rising edge of CLK CLK DQ D QMQM Master Latch Slave Latch QMQM 2 x 6 = 12 Transistors Q CLK

5. Setup Time & Flip-Flop Progation Delay Setup time: D must be stable some setup time before the rising edge of the clock, e.g. t setup = 1 ns Propagation delay: amount of time after the rising edge of the clock before Q completely changes, e.g. t FFdelay = 1 ns CLK DQ D Master Latch Slave Latch Q CLK t setup t FFdelay t setup t FFdelay QMQM

6. Setup Time & FF Delay Suppose t setup = 1 ns, t FFdelay = 1 ns, and t inv = 1 ns, then clock period is 4 ns (or 250 MHz) edge triggered D-FF CLK edge triggered D-FF CLK

7. RS-Latch as Cross-Coupled NOR Gates If R = 1, Q resets to 0 If S = 1, Q sets to 1 If RS = 00, no change RS = 11 is not allowed because leads to oscillation R S Q Q 0 0 1 1 0 1 S R No change 0 1 Undefined Q

8. Level-Sensitive RS-Latch Q only changes when CLK is high (i.e. level-sensitive) When CLK is high, behavior same as RS latch S R Q Q CLK 1 0 0 1 0 1 1 1 0 1 1 1 CLK S R No change 0 1 Undefined Q 0 X XNo change S R Q Q CLK

9. Level-Sensitive D-Latch Make level-sensitive D-latch from level-sensitive RS-latch by connecting S = D and R = not D Compared to transistor version D Q Q CLK 6 Transistors 18 Transistors CLK D Q Q Q D

10. JK Flip-Flop from D-Latch Same as RS-Latch except it toggles on 11 D Latch CLK Q Q J K JK-FF CLK J K Q 1 0 0 1 0 1 1 1 0 1 1 1 CLK J K No change 0 1 Toggle Q 0 X XNo change

11. Toggle Flip-Flop from D-Latch Toggles stored value if T = 1 when CLK is high D Latch CLK Q T T-FF CLK TQ 1 0 1 CLK T No change Toggle Q 0 XNo change