How To Time A Clock On A Clock (Clock)
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1 Chapter 5 Flip-Flops, Registers, and Counters
2 Sensor Reset Set Memory element On Off Alarm Figure 5.1. Control of an alarm system.
3 A B Figure 5.2. A simple memory element.
4 Reset Set Figure 5.3. A memory element with NOR gates.
5 R a S R a b /1 1/ (no change) S b 1 1 (a) Circuit (b) Truth table t 1 t 2 t 3 t 4 t 5 t 6 t 7 t 8 t 9 t 1 R S a b ?? Time (c) Timing diagram Figure 5.4. A basic latch built with NOR gates.
6 Please see portrait orientation PowerPoint file for Chapter 5 Figure 5.5. Gated SR latch.
7 S Clk R Figure 5.6. Gated SR latch with NAND gates.
8 Please see portrait orientation PowerPoint file for Chapter 5 Figure 5.7. Gated D latch.
9 t su t h Clk D Figure 5.8. Setup and hold times.
10 Please see portrait orientation PowerPoint file for Chapter 5 Figure 5.9. Master-slave D flip-flop.
11 Please see portrait orientation PowerPoint file for Chapter 5 Figure 5.1. Comparison of level-sensitive and edge-triggered D storage elements.
12 1 P3 2 P1 5 Clock 3 P2 6 D D 4 P4 Clock (a) Circuit (b) Graphical symbol Figure A positive-edge-triggered D flip-flop.
13 Figure Master-slave D flip-flop with Clear and Preset.
14 Please see portrait orientation PowerPoint file for Chapter 5 Figure Positive-edge-triggered D flip-flop with and Preset. Clear
15 Figure Timing for a flip-flop.
16 Please see portrait orientation PowerPoint file for Chapter 5 Figure T flip-flop.
17 J D K Clock (a) Circuit J 1 1 K 1 ( t + 1) ( t) 1 1 ( t) J K (b) Truth table (c) Graphical symbol Figure JK flip-flop.
18 In D D D D Out Clock (a) Circuit t In = Out t 1 1 t t t t t t (b) A sample sequence Figure A simple shift register.
19 Figure Parallel-access shift register.
20 1 T T T Clock 1 2 (a) Circuit Clock 1 2 Count (b) Timing diagram Figure A three-bit up-counter.
21 1 T T T Clock 1 2 (a) Circuit Clock 1 2 Count (b) Timing diagram Figure 5.2. A three-bit down-counter.
22 Clock cycle changes 2 changes Table 5.1. Derivation of the synchronous up-counter.
23 1 T T T 1 2 T 3 Clock (a) Circuit Clock Count (b) Timing diagram Figure A four-bit synchronous up-counter.
24 Enable T T T T Clock Clear_n Figure Inclusion of Enable and Clear capability.
25 Please see portrait orientation PowerPoint file for Chapter 5 Figure A four-bit counter with D flip-flops.
26 Please see portrait orientation PowerPoint file for Chapter 5 Figure A counter with parallel-load capability.
27 1 Enable D D 1 1 Clock D 2 Load Clock 2 (a) Circuit Clock 1 2 Count (b) Timing diagram Figure A modulo-6 counter with synchronous reset.
28 1 T T T 1 2 Clock (a) Circuit Clock 1 2 Count (b) Timing diagram Figure A modulo-6 counter with asynchronous reset.
29 Figure A two-digit BCD counter.
30 Please see portrait orientation PowerPoint file for Chapter 5 Figure Ring counter.
31 Figure Johnson counter.
32 Figure 5.3. Three types of storage elements in a schematic.
33 Data Clock Latch Figure Gated D latch generated by CAD tools.
34 Please see portrait orientation PowerPoint file for Chapter 5 Figure Implementation of the schematic in Figure 5.3 in a CPLD.
35 Figure Timing simulation of storage elements in Figure 5.3.
36 module D_latch (D, Clk, ); input D, Clk; output reg ; Clk) if (Clk) = D; endmodule Figure Code for a gated D latch.
37 module flipflop (D, Clock, ); input D, Clock; output reg ; Clock) = D; endmodule Figure Code for a D flip-flop.
38 module example5_3 (D, Clock, 1, 2); input D, Clock; output reg 1, 2; Clock) begin 1 = D; 2 = 1; end endmodule Figure Incorrect code for two cascaded flip-flops.
39 D D 1 Clock D 2 Figure Circuit for Example 5.3.
40 module example5_4 (D, Clock, 1, 2); input D, Clock; output reg 1, 2; Clock) begin 1 <= D; 2 <= 1; end endmodule Figure Code for two cascaded flip-flops.
41 D D 1 2 D Clock Figure Circuit defined in Figure 5.38.
42 module example5_5 (x1, x2, x3, Clock, f, g); input x1, x2, x3, Clock; output reg f, g; Clock) begin f = x1 & x2; g = f x3; end endmodule Figure 5.4. Code for Example 5.5.
43 x 3 x 1 D g x 2 D f Clock Figure Circuit for Example 5.5.
44 module example5_6 (x1, x2, x3, Clock, f, g); input x1, x2, x3, Clock; output reg f, g; Clock) begin f <= x1 & x2; g <= f x3; end endmodule Figure Code for Example 5.6.
45 x 3 D g x 1 x 2 D f Clock Figure Circuit for Example 5.6.
46 module flipflop (D, Clock, Resetn, ); input D, Clock, Resetn; output reg ; Resetn, posedge Clock) if (!Resetn) <= ; else <= D; endmodule Figure D flip-flop with asynchronous reset.
47 module flipflop (D, Clock, Resetn, ); input D, Clock, Resetn; output reg ; Clock) if (!Resetn) <= ; else <= D; endmodule Figure D flip-flop with synchronous reset.
48 module regn (D, Clock, Resetn, ); parameter n = 16; input [n-1:] D; input Clock, Resetn; output reg [n-1:] ; Resetn, posedge Clock) if (!Resetn) <= ; else <= D; endmodule Figure Code for an n-bit register with asynchronous clear.
49 module muxdff (D, D1, Sel, Clock, ); input D, D1, Sel, Clock; output reg ; Clock) if (!Sel) <= D; else <= D1; endmodule Figure Code for a D flip-flop with a 2-to-1 multiplexer on the D input.
50 module muxdff (D, D1, Sel, Clock, ); input D, D1, Sel, Clock; output reg ;! wire D; assign D = Sel? D1 : D;! Clock) <= D; endmodule Figure Alternative code for a D flip-flop with a 2-to-1 multiplexer on the D input.
51 module shift4 (R, L, w, Clock, ); input [3:] R; input L, w, Clock; output [3:] ; wire [3:] ; muxdff Stage3 (w, R[3], L, Clock, [3]); muxdff Stage2 ([3], R[2], L, Clock, [2]); muxdff Stage1 ([2], R[1], L, Clock, [1]); muxdff Stage ([1], R[], L, Clock, []); endmodule Figure Hierarchical code for a four-bit shift register.
52 module shift4 (R, L, w, Clock, ); input [3:] R; input L, w, Clock; output reg [3:] ; Clock) if (L) <= R; else begin [] <= [1]; [1] <= [2]; [2] <= [3]; [3] <= w; end endmodule Figure 5.5. Alternative code for a four-bit shift register.
53 module shiftn (R, L, w, Clock, ); parameter n = 16; input [n-1:] R; input L, w, Clock; output reg [n-1:] ; integer k; Clock) if (L) <= R; else begin for (k = ; k < n-1; k = k+1) [k] <= [k+1]; [n-1] <= w; end endmodule Figure An n-bit shift register.
54 module upcount (Resetn, Clock, E, ); input Resetn, Clock, E; output reg [3:] ; Resetn, posedge Clock) if (!Resetn) <= ; else if (E) <= + 1; endmodule Figure Code for a four-bit up-counter.
55 module upcount (R, Resetn, Clock, E, L, ); input [3:] R; input Resetn, Clock, E, L; output reg [3:] ; Resetn, posedge Clock) if (!Resetn) <= ; else if (L) <= R; else if (E) <= + 1; endmodule Figure A four-bit up-counter with parallel load.
56 module downcount (R, Clock, E, L, ); parameter n = 8; input [n-1:] R; input Clock, L, E; output reg [n-1:] ; Clock) if (L) <= R; else if (E) <= - 1; endmodule Figure A down-counter with a parallel load.
57 module updowncount (R, Clock, L, E, up_down, ); parameter n = 8; input [n-1:] R; input Clock, L, E, up_down; output reg [n-1:] ; Clock) if (L) <= R; else if (E) <= + (up_down? 1 : -1); endmodule Figure Code for an up/down counter.
58 Figure Providing an enable input for a D flip-flop.
59 module rege (D, Clock, Resetn, E, ); input D, Clock, Resetn, E; output reg ; Clock, negedge Resetn) if (Resetn == ) <= ; else if (E) <= D; endmodule Figure Code for a D flip-flop with enable.
60 module regne (R, Clock, Resetn, E, ); parameter n = 8; input [n-1:] R; input Clock, Resetn, E; output reg [n-1:] ; Clock, negedge Resetn) if (Resetn == ) <= ; else if (E) <= R; endmodule Figure An n-bit register with an enable input.
61 Figure A shift register with parallel load and enable control inputs.
62 module shiftrne (R, L, E, w, Clock, ); parameter n = 4; input [n-1:] R; input L, E, w, Clock; output reg [n-1:] ; integer k; Clock) begin if (L) <= R; else if (E) begin [n-1] <= w; for (k = n-2; k >= ; k = k-1) [k] <= [k+1]; end end endmodule Figure 5.6. A left-to-right shift register with an enable input.
63 Please see portrait orientation PowerPoint file for Chapter 5 Figure A reaction-timer circuit.
64 Please see portrait orientation PowerPoint file for Chapter 5 Figure Code for the two-digit BCD counter in Figure 5.27.
65 Figure Code for the BCD-to-7-segment decoder.
66 Figure Code for the reaction timer.
67 Figure Simulation of the reaction-timer circuit.
68 Figure A simple flip-flop circuit.
69 Please see portrait orientation PowerPoint file for Chapter 5 Figure A 4-bit counter.
70 Figure A general example of clock skew.
71 Figure A modified version of the reaction-timer circuit.
72 Figure 5.7. Circuit for Example 5.18.
73 Figure Circuit for Example 5.19.
74 Figure Summary of the behavior of the circuit in Figure 5.71.
75 Please see portrait orientation PowerPoint file for Chapter 5 Figure Circuit for Example 5.2.
76 module vend (N, D,, Resetn, Coin, Z); input N, D,, Resetn, Coin; output Z; wire [4:] X; reg [5:] S;! assign X[] = N ; assign X[1] = D; assign X[2] = N; assign X[3] = D ; assign X[4] = ; assign Z = S[5] (S[4] & S[3] & S[2] & S[1]); Coin, negedge Resetn) if (Resetn = = 1 b) S <= 5 b; else S <= {1 b, X} + S; end endmodule Figure Code for Example 5.21.
77 Please see portrait orientation PowerPoint file for Chapter 5 Figure A faster 4-bit counter.
78 Figure A circuit with clock skews.
79 Clock D Figure P5.1. Timing diagram for Problem 5.1.
80 Figure P5.2. Circuit for Problem 5.8.
81 1 2 1 T T T Clock Figure P5.3. The circuit for Problem 5.17.
82 J S S Clock Clk Clk K R R Figure P5.4. Circuit for Problem 5.18.
83 Figure P5.5. A ring oscillator. f
84 Reset Interval 1 ns Figure P5.6. Timing of signals for Problem 5.24.
85 D Clock A Clock D A Figure P5.7. Circuit and timing diagram for Problem 5.25.
86 Clock Start f g Figure P5.8. Timing diagram for Problem 5.26.
87 module lfsr (R, L, Clock, ); input [:2] R; input L, Clock; output reg [:2] ; Clock) if (L) <= R; else <= {[2], [] ^ [2], [1]}; endmodule Figure P5.9. Code for a linear-feedback shift register.
88 module lfsr (R, L, Clock, ); input [:2] R; input L, Clock; output reg [:2] ; Clock) if (L) <= R; else <= {[2], [], [1] ^ [2]}; endmodule Figure P5.1. Code for a linear-feedback shift register.
89 module lfsr (R, L, Clock, ); input [:2] R; input L, Clock; output reg [:2] ; Clock) if (L) <= R; else begin [] = [2]; [1] = [] ^ [2]; [2] = [1]; end endmodule Figure P5.11. Code for Problem 7.3.
90 module lfsr (R, L, Clock, ); input [:2] R; input L, Clock; output reg [:2] ; Clock) if (L) <= R; else begin [] = [2]; [1] = []; [2] = [1] ^ [2]; end endmodule Figure P5.12. Code for Problem 5.31.
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