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If by binary you mean integral value and non-binary you mean real; it is legal, though not very useful.
It's usage for casex and casez isn't explicitely discussed in the standard. You should check if your tools support it.An x represents the unknown value in hexadecimal, octal, and binary constants. A z represents the highimpedance value. See 4.1 for a discussion of the Verilog HDL value set. An x shall set 4 bits to unknown in the hexadecimal base, 3 bits in the octal base, and 1 bit in the binary base. Similarly, a z shall set 4 bits, 3 bits, and 1 bit, respectively, to the high-impedance value.