If you set the binary code to '0000', then that is a valid code for "0".
If you wanted to 'disable' the convertor, look at the use of tristate gates on the 'outputs'.
For example if you connected the outputs from the convertor thru a HEF40097 non inverting buffer, you could use the /EO pin to enable/disable the output.
For example if you connected the outputs from the convertor thru a HEF40097 non inverting buffer, you could use the /EO pin to enable/disable the output.