How do you plan to solve it?
the arithmetic shift operator >>> works only on signed values, by default the values are unsigned, you need to explicitly tell the input is signed , using $signed .
/*Write your code here*/ module univ_barrel8(input[7:0] x,input[2:0] sh,mode,output reg[7:0]y); always@(*)begin case(mode) 3'b000: y=x; 3'b001: y=x<<sh; 3'b010: y=x>>sh; 3'b011: y= $signed(x) >>> sh; 3'b100: y=(x<<sh)|(x>>(8-sh)); 3'b101: y=(x>>sh)|(x<<(8-sh)); default:y=x; endcase end endmodule