Shift registers, flip-flop, Multiplexer & Demultiplexer with microcontrollers utility
The MC14052B is basically a means for routing analog signals according to a digital input. It was probably in the satellite reciever for routing audio inputs or outputs. (If you've salvaged these ICs, you should test them thoroughly before using them).

The 74HC574 does exactly what it says in the opening section of its datasheet. On the rising edge of its clock pin, it copies the inputs across to the outputs. The outputs will then be unchanged until the next rising edge. You can optionally turn off the outputs with OE.

If you wire the output of one flop to the input of the next, you can make a shift register just like the 74HC595, although without the handy reset pin.

If stuck on a desert island and required to use these chips to drive a 4x7 segment display, I would:


wire the flops up as a shift register as described.
wire the LEDs in a matrix configuration, with a particular type of segment as the "row" and the individual blocks as "columns".
wire the columns to the 4-way analog switch.
wire LED power to the other side of the analog switch.


That then allows me to use two pins to control the analog switch and two pins as clock/data into the shift register. I could then "strobe" through the 4 units, changing the values in the shift register each time. This does require constant CPU attention in order to maintain the strobe frequency.