A bitwise operator works in bit by bit fashion, therefore it's binary by definition. You can however always use the decimal (hexadecimal,octal) number format to enter values in verilog. For instance:
wire [ 4: 0] a = 5'd11;
wire [ 4: 0] b = 5'b11010;
wire [ 4: 0] c = a & b;
// will result in c being 10 decimal, or 01010 binary as:
// (01011(base:2) & 11010(base:2) = 01010(base:2) = 10(base:10)
In truth there is no operator in Verilog that would distinguish between number systems, in the end everything is binary.