In version 3.8 we've added new algorithms which calculate the boolean OR or AND for a set of input rasters. For AND, if all of the input rasters have a non-zero value for a pixel, that pixel will be set to 1 in the output raster, otherwise it will be set to 0. For OR, if ANY of the input rasters have a non-zero value for a pixel, that pixel will be set to 1 in the output raster, else 0.
A reference layer parameter allows you to specify an existing raster layer to use as a reference when creating the output raster. The output raster will have the same extent, CRS, and pixel dimensions as this layer.
By default, a nodata pixel in ANY of the input layers will result in a nodata pixel in the output raster. If you check the 'Treat nodata values as false' option, then nodata inputs will be treated the same as a 0 input value.
These new algorithms make for much simpler raster boolean logic calculation, without the complexity of using the raster calculator. They are also dynamically scalable to any number of input rasters (unlike the raster calculator), so are much more flexible when used within your Processing models.