minimum SOP and POS

题目如下：

A single-output digital system with four inputs (a,b,c,d) generates a logic-1 when 2, 7, or 15 appears on the inputs, and a logic-0 when 0, 1, 4, 5, 6, 9, 10, 13, or 14 appears. The input conditions for the numbers 3, 8, 11, and 12 never occur in this system. For example, 7 corresponds to a,b,c,d being set to 0,1,1,1, respectively.

代码如下：

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;
    assign out_pos = ~((~c | ~d) & (a | b | ~c));
    
endmodule

POS&SOP
POS&SOP