Making a binary clock using a PIC Microcontroller
You can use a PIC microcontroller and an LED matrix to create a binary clock (or if you prefer you can wire up individual LEDs).
This project uses an LED matrix block as it saves lots of wiring. So what is it ?
Its an led clock that displays the time information as binary numbers…
…and it is a good way of learning how to read binary (well up to 9 any way!).
You can represent the numbers 09 using 4 binary digits so only four leds are needed for each time digit. There’s a binarydecimal conversion table here.
To display hours, minutes and seconds (2 digits each) you need 6 binary digits in total (depending on whether you use a 24 hour clock the top digit needs only 1 or 2 LEDs).
How to read a binary clock
the time is displayed in 24 hour mode so:
 The 1st two digits represent 023 hours,
 The next two digits represent 059 minutes,
 The next two digits represent 059 seconds.
Hours

MSD  02 
Hours

LSD  03 
Minutes  MSD  05 
Minutes  LSD  09 
Seconds  MSD  05 
Secondss  LSD  09 
Note: You could use a 5×7 led matrix as only the right hand 4 leds (also only 6 rows)are used in this project.
The black rectangle, in the diagram above, shows which leds you need to look at – the rest are not used in this project. You read the clock starting from the top and read horizontal row of four LEDs as a binary number. Each LED that is on represents a one and each LED that is off represents a zero. You then use the conversion table to translate it into decimal until you become so good at it that you won’t need the table!
For more detail: Making a binary clock using a PIC Microcontroller
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 how to make a digital binary clock