3.1.4 Karnaugh Map to Circuit
3.1.4.1 3-variable
module top_module(
input a,
input b,
input c,
output out );
assign out = a | b | c;
endmodule
3.1.4.2 4-variable
module top_module(
input a,
input b,
input c,
input d,
output out );
assign out = ~a & ~d | ~b & ~c | b & c & d | a & ~b & d;
endmodule
3.1.4.3 4-variable
module top_module(
input a,
input b,
input c,
input d,
output out );
assign out = ~b & c | a & c | a & ~d;
endmodule
注意题目给出的卡诺图
3.1.4.4 4-variable
module top_module(
input a,
input b,
input c,
input d,
output out );
assign out = ~a & b & ~c & ~d | a & ~b & ~c & ~d |
~a & ~b & ~c & d | a & b & ~c & d |
~a & b & c & d | a & ~b & c & d |
~a & ~b & c & ~d | a & b & c & ~d;
endmodule
3.1.4.5 Minimum SOP and POS
SOP：sum of product，积之和，即最小项形式
POS：product of sum，和之积，即最大项形式
module top_module (
input a,
input b,
input c,
input d,
output out_sop,
output out_pos
);
assign out_sop = (c & d) | (~a & ~b & c) | (~a & ~b & c);
assign out_pos = ~((~c | ~d) & (a | b | ~c) & (a | b | ~c));
endmodule
3.1.4.6 Karnaugh map
module top_module (
input [4:1] x,
output f );
assign f= (~x[1] & x[3]) | (x[2] & x[4]);
endmodule
3.1.4.7 Karnaugh map
module top_module (
input [4:1] x,
output f
);
assign f = (~x[1] & x[3]) | (x[2]& x[3] & x[4]) | (~x[2] & ~x[4]);
endmodule
3.1.4.8 K-map implemented with a multiplexer
由卡诺图可以看出：
ab = 2'b00 : mux_in[0] = c | d;
ab = 2'b01 : mux_in[1] = 1'b0;
ab = 2'b10 : mux_in[2] = ~d;
ab = 2'b11 : mux_in[3] = c & d;
module top_module (
input c,
input d,
output [3:0] mux_in
);
assign mux_in[0] = c | d;
assign mux_in[1] = 1'b0;
assign mux_in[2] = ~d;
assign mux_in[3] = c & d;
endmodule
