The three timer uses are distinct so we will talk about each of them separately.  The 
first two uses will be discussed in this chapter while the use of timers for baud rate 
generation will be discussed in the chapter relating to serial ports.
How does a timer count?  The answer to this question is very simple: A timer always 
counts up.  It doesn’t matter whether the timer is being used as a timer, a counter, or 
a baud rate generator: A timer is always incremented by the microcontroller.
Obviously, one of the primary uses of timers is to measure time.  We will discuss this 
use of timers first and will subsequently discuss the use of timers to count events.  
When a timer is used to measure time it is also called an "interval timer" since it 
is measuring the time of the interval between two events.
First, it’s worth mentioning that when a timer is in interval timer mode (as opposed 
to event counter mode) and correctly configured, it will increment by 1 every machine 
cycle.  As you will recall from the previous chapter, a single machine cycle consists 
of 12 crystal pulses.  Thus a running timer will be incremented:
Obviously it’s not very useful to know .0542 seconds have passed.  If you want to execute 
an event once per second you’d have to wait for the timer to count from 0 to 50,000 
18.45 times.  How can you wait "half of a time?"  You can’t.  So we come to another 
important calculation.
Let’s say we want to know how many times the timer will be incremented in .05 seconds.  
We can do simple multiplication:
Obviously, this is a little more useful.  If you know it takes 1/20th of a second to 
count from 0 to 46,079 and you want to execute some event every second you simply wait for 
the timer to count from 0 to 46,079 twenty times; then you execute your event, reset the 
timers, and wait for the timer to count up another 20 times.  In this manner you will 
effectively execute your event once per second, accurate to within thousandths of a 
second.
Thus, we now have a system with which to measure time.  All we need to review is how to 
control the timers and initialize them to provide us with the information we need.
Timer SFRs
As mentioned before, the 8051 has two timers which each function essentially the same 
way.  One timer is TIMER0 and the other is TIMER1.  The two timers share two SFRs (TMOD 
and TCON) which control the timers, and each timer also has two SFRs dedicated solely 
to itself (TH0/TL0 and  TH1/TL1).
We’ve given SFRs names to make it easier to refer to them, but in reality an SFR has a 
numeric address. It is often useful to know the numeric address that corresponds to an 
SFR name.  The SFRs relating to timers are:
| SFR Name | Description | SFR Address | 
| TH0 | Timer 0 High Byte | 8Ch | 
| TL0 | Timer 0 Low Byte | 8Ah | 
| TH1 | Timer 1 High Byte | 8Dh | 
| TL1 | Timer 1 Low Byte | 8Bh | 
| TCON | Timer Control | 88h | 
| TMOD | Timer Mode | 89h | 
		
When you enter the name of an SFR into an assembler, it internally converts it to 
a number.  For example, the command:
moves the value 25h into the TH0 SFR.  However, since TH0 is the same as SFR address 
8Ch this command is equivalent to:
Now, back to the timers.  First, let’s talk about Timer 0.  
Timer 0 has two SFRs dedicated exclusively to itself: TH0 and TL0.  Without making things 
too complicated to start off with, you may just think of this as the high and low byte 
of the timer.  That is to say, when Timer 0 has a value of 0, both TH0 and TL0 will 
contain 0.  When Timer 0 has the value 1000, TH0 will hold the high byte of the value 
(3 decimal) and TL0 will contain the low byte of the value (232 decimal).  Reviewing 
low/high byte notation, recall that you must multiply the high byte by 256 and add the 
low byte to calculate the final value.  That is to say:
 TH0 * 256 + TL0 = 1000
 3   * 256 + 232 = 1000
Timer 1 works the exact same way, but it’s SFRs are TH1 and TL1.
Since there are only two bytes devoted to the value of each timer it is apparent that 
the maximum value a timer may have is 65,535.  If a timer contains the value 65,535 and 
is subsequently incremented, it will reset--or overflow--back to 0.
The TMOD SFR
Let’s first talk about our first control SFR: TMOD (Timer Mode).  The TMOD SFR is used 
to control the mode of operation of both timers.  Each bit of the SFR gives the 
microcontroller specific information concerning how to run a  timer.  The high four 
bits (bits 4 through 7) relate to Timer 1 whereas the low four bits (bits 0 through 3) 
perform the exact same functions, but for timer 0.
The individual bits of TMOD have the following functions:
TMOD (89h) SFR
| Bit | Name | Explanation of Function | Timer | 
| 7 | GATE1 | When this bit is set the timer will only run when INT1 
     (P3.3) is high.  When this bit is clear the timer will run regardless of the state 
     of INT1. | 1 | 
| 6 | C/T1 | When this bit is set the timer will count events on T1 
     (P3.5).  When this bit is clear the timer will be incremented every machine cycle.	
      | 1 | 
| 5 | T1M1 | Timer mode bit (see below) | 1 | 
| 4 | T1M0 | Timer mode bit (see below) | 1 | 
| 3 | GATE0 | When this bit is set the timer will only run when 
     INT0 (P3.2) is high.  When this bit is clear the timer will run regardless of the 
     state of INT0. | 0 | 
| 2 | C/T0 | When this bit is set the timer will count events on T0 
     (P3.4).  When this bit is clear the timer will be incremented every machine cycle.	
      | 0 | 
| 1 | T0M1 | Timer mode bit (see below) | 0 | 
| 0 | T0M0 | Timer mode bit (see below) | 0 | 
			
As you can see in the above chart, four bits (two for each timer) are used to specify a 
mode of operation.  The modes of operation are:
| TxM1 | TxM0 | Timer Mode | Description of Mode | 
| 0 | 0 | 0 | 13-bit Timer. | 
| 0 | 1 | 1 | 16-bit Timer | 
| 1 | 0 | 2 | 8-bit auto-reload | 
| 1 | 1 | 3 | Split timer mode | 
13-bit Time Mode (mode 0)
Timer mode "0" is a 13-bit timer.  This is a relic that was kept around in the 8051 
to maintain compatability with it’s predecesor, the 8048.  Generally the 13-bit timer 
mode is not used in new development.
When the timer is in 13-bit mode, TLx will count from 0 to 31.  When TLx is incremented 
from 31, it will "reset" to 0 and increment THx.  Thus, effectively, only 13 bits of 
the two timer bytes are being used: bits 0-4 of TLx and bits 0-7 of THx.  This also 
means, in essence, the timer can only contain 8192 values.  If you set a 13-bit timer to 
0, it will overflow back to zero 8192 machine cycles later.
Again, there is very little reason to use this mode and it is only mentioned so you 
won’t be surprised if you ever end up analyzing archaeic code which has been passed down 
through the generations (a generation in a programming shop is often on the order of 
about 3 or 4 months).
16-bit Time Mode (mode 1)
Timer mode "1" is a 16-bit timer.  This is a very commonly used mode.  It functions just 
like 13-bit mode except that all 16 bits are used.
TLx is incremented from 0 to 255.  When TLx is incremented from 255, it resets to 0 
and causes THx to be incremented by 1.  Since this is a full 16-bit timer, the timer may 
contain up to 65536 distinct values.  If you set a 16-bit timer to 0, it will overflow 
back to 0 after 65,536 machine cycles.
8-bit Time Mode (mode 2)
Timer mode "2" is an 8-bit auto-reload mode.  What is that, you may ask?  Simple.  When 
a timer is in mode 2, THx holds the "reload value" and TLx is the timer itself.  Thus, 
TLx starts counting up.  When TLx reaches 255 and is subsequently incremented, instead 
of resetting to 0 (as in the case of modes 0 and 1), it will be reset to the value 
stored in THx.
For example, let’s say TH0 holds the value FDh and TL0 holds the value FEh.  If we were 
to watch the values of TH0 and TL0 for a few machine cycles this is what we’d see:
| Machine Cycle | TH0 Value | TL0 Value | 
| 1 | FDh | FEh | 
| 2 | FDh | FFh | 
| 3 | FDh | FDh | 
| 4 | FDh | FEh | 
| 5 | FDh | FFh | 
| 6 | FDh | FDh | 
| 7 | FDh | FEh | 
		
As you can see, the value of TH0 never changed.  In fact, when you use mode 2 you 
almost always set THx to a known value and TLx is the SFR that is constantly 
incremented.
What’s the benefit of auto-reload mode?  Perhaps you want the timer to always have a 
value from 200 to 255.  If you use mode 0 or 1, you’d have to check in code to see if 
the timer had overflowed and, if so, reset the timer to 200.  This takes precious 
instructions of execution time to check the value and/or to reload it.  When you use 
mode 2 the microcontroller takes care of this for you.  Once you’ve configured a timer 
in mode 2 you don’t have to worry about checking to see if the timer has overflowed 
nor do you have to worry about resetting the value--the microcontroller hardware will 
do it all for you.
The auto-reload mode is very commonly used for establishing a baud rate which we will 
talk more about in the Serial Communications chapter.
Split Timer Mode (mode 3)
Timer mode "3" is a split-timer mode.  When Timer 0 is placed in mode 3, it essentially 
becomes two separate 8-bit timers.  That is to say, Timer 0 is TL0 and Timer 1 is TH0.  
Both timers count from 0 to 255 and overflow back to 0.  All the bits that are related to 
Timer 1 will now be tied to TH0.
While Timer 0 is in split mode, the real Timer 1 (i.e. TH1 and TL1) can be put into 
modes 0, 1 or 2 normally--however, you may not start or stop the real timer 1 since the 
bits that do that are now linked to TH0.  The real timer 1, in this case, will be 
incremented every machine cycle no matter what.
The only real use I can see of using split timer mode is if you need to have two separate 
timers and, additionally, a baud rate generator.  In such case you can use the real 
Timer 1 as a baud rate generator and use TH0/TL0 as two separate timers.
The TCON SFR
Finally, there’s one more SFR that controls the two timers and provides valuable 
information about them.  The TCON SFR has the following structure:
TCON (88h) SFR
| Bit | Name | Bit Address | Explanation of Function | Timer | 
| 7 | TF1 | 8Fh | Timer 1 Overflow.  This bit is set by the microcontroller when Timer 1 overflows. | 1 | 
| 6 | TR1 | 8Eh | Timer 1 Run.  When this bit is set Timer 1 is turned on.  When this bit is clear Timer 1 is off. | 1 | 
| 5 | TF0 | 8Dh | Timer 0 Overflow.  This bit is set by the microcontroller when Timer 0 overflows. | 0 | 
| 4 | TR0 | 8Ch | Timer 0 Run.  When this bit is set Timer 0 is turned on.  When this bit is clear Timer 0 is off. | 0 | 
As you may notice, we’ve only defined 4 of the 8 bits.  That’s because the other 4 bits 
of the SFR don’t have anything to do with timers--they have to do with Interrupts and 
they will be discussed in the chapter that addresses interrupts.
A new piece of information in this chart is the column "bit address."  This is because 
this SFR is "bit-addressable."  What does this mean?  It means if you want to set the 
bit TF1--which is the highest bit of TCON--you could execute the command:
... or, since the SFR is bit-addressable, you could just execute the command:
This has the benefit of setting the high bit of TCON without changing the value of any 
of the other bits of the SFR.  Usually when you start or stop a timer you don’t want to 
modify the other values in TCON, so you take advantage of the fact that the SFR is 
bit-addressable.
Initializing a Timer
Now that we’ve discussed the timer-related SFRs we are ready to write code that will 
initialize the timer and start it running.
As you’ll recall, we first must decide what mode we want the timer to be in.  In this 
case we want a 16-bit timer that runs continuously; that is to say, it is not dependent 
on any external pins.
We must first initialize the TMOD SFR.  Since we are working with timer 0 we will be 
using the lowest 4 bits of TMOD.  The first two bits, GATE0 and C/T0 are both 0 since 
we want the timer to be independent of the external pins.  16-bit mode is timer mode 
1 so we must clear T0M1 and set T0M0.  Effectively, the only bit we want to turn on 
is bit 0 of TMOD.  Thus to initialize the timer we execute the instruction:
Timer 0 is now in 16-bit timer mode.  However, the timer is not running.  To start 
the timer running we must set the TR0 bit   We can do that by executing the 
instruction:
Upon executing these two instructions timer 0 will immediately begin counting, 
being incremented once every machine cycle (every 12 crystal pulses).
Reading the Timer
There are two common ways of reading the value of a 16-bit timer; which you use depends 
on your specific application.  You may either read the actual value of the timer as 
a 16-bit number, or you may simply detect when the timer has overflowed.
Reading the value of a Timer
If your timer is in an 8-bit mode--that is, either 8-bit AutoReload mode or in split 
timer mode--then reading the value of the timer is simple.  You simply read the 1-byte 
value of the timer and you’re done.
However, if you’re dealing with a 13-bit or 16-bit timer the chore is a little more 
complicated.  Consider what would happen if you read the low byte of the timer as 255, 
then read the high byte of the timer as 15.  In this case, what actually happened was 
that the timer value was 14/255 (high byte 14, low byte 255) but you read 15/255.  
Why?  Because you read the low byte as 255.  But when you executed the next instruction 
a small amount of time passed--but enough for the timer to increment again at which time 
the value rolled over from 14/255 to 15/0.  But in the process you’ve read the timer as 
being 15/255.  Obviously there’s a problem there.
The solution?  It’s not too tricky, really.  You read the high  byte of the timer, then 
read the low byte, then read the high byte again.  If the high byte read the second time 
is not the same as the high byte read the first time you repeat the cycle.  In code, this 
would appear as:
| REPEAT: | MOV A,TH0 | 
 | MOV R0,TL0 | 
 | CJNE A,TH0,REPEAT | 
 | ... | 
In this case, we load the accumulator with the high byte of Timer 0.  We then load R0 
with the low byte of Timer 0.  Finally, we check to see if the high byte we read out of 
Timer 0--which is now stored in the Accumulator--is the same as the current Timer 0 high 
byte.  If it isn’t it means we’ve just "rolled over" and must reread the timer’s 
value--which we do by going back to REPEAT.  When the loop exits we will have the low 
byte of the timer in R0 and the high byte in the Accumulator.
Another much simpler alternative is to simply turn off the timer run bit (i.e. CLR TR0), 
read the timer value, and then turn on the timer run bit (i.e. SETB TR0).  In that case, 
the timer isn’t running so no special tricks are necessary.  Of course, this implies that 
your timer will be stopped for a few machine cycles.  Whether or not this is tolerable 
depends on your specific application.
Detecting Timer Overflow
Often it is necessary to just know that the timer has reset to 0.  That is to say, you 
are not particularly interest in the value of the timer but rather you are interested 
in knowing when the timer has overflowed back to 0.
Whenever a timer overflows from it’s highest value back to 0, the microcontroller 
automatically sets the TFx bit in the TCON register.  This is useful since rather than 
checking the exact value of the timer you can just check if the TFx bit is set.  If TF0 
is set it means that timer 0 has overflowed; if TF1 is set it means that timer 1 has 
overflowed.
We can use this approach to cause the program to execute a fixed delay.  As you’ll recall, 
we calculated earlier that it takes the 8051 1/20th of a second to count from 0 to 46,079.  
However, the TFx flag is set when the timer overflows back to 0.  Thus, if we want to use 
the TFx flag to indicate when 1/20th of a second has passed we must set the timer 
initially to 65536 less 46079, or 19,457.  If we set the timer to 19,457, 1/20th of a 
second later the timer will overflow.  Thus we come up with the following code to execute 
a pause of 1/20th of a second:
 MOV TH0,#76;High byte of 19,457 (76 * 256 = 19,456)
 MOV TL0,#01;Low byte of 19,457 (19,456 + 1 = 19,457)
 MOV TMOD,#01;Put Timer 0 in 16-bit mode
 SETB TR0;Make Timer 0 start counting
 JNB TF0,$;If TF0 is not set, jump back to this same instruction
In the above code the first two lines initialize the Timer 0 starting value to 19,457.  
The next two instructions configure timer 0 and turn it on.  Finally, the last 
instruction JNB TF0,$, reads "Jump, if TF0 is not set, back to this same 
instruction."  The "$" operand means, in most assemblers, the address of the current 
instruction.  Thus as long as the timer has not overflowed and the TF0 bit has not been 
set the program will keep executing this same instruction.  After 1/20th of a second 
timer 0 will overflow, set the TF0 bit, and program execution will then break out of 
the loop.
Timing the length of events
The 8051 provides another cool toy that can be used to time the length of events.
For example, let's say we're trying to save electricity in the office and we're interested 
in how long a light is turned on each day.  When the light is turned on, we want to 
measure time.  When the light is turned off we don't.  One option would be to connect the 
lightswitch to one of the pins, constantly read the pin, and turn the timer on or off 
based on the state of that pin.  While this would work fine, the 8051 provides us with an 
easier method of accomplishing this.
Looking again at the TMOD SFR, there is a bit called GATE0.  So far we've always 
cleared this bit because we wanted the timer to run regardless of the state of the 
external pins.  However, now it would be nice if an external pin could control whether 
the timer was running or not.  It can.  All we need to do is connect the lightswitch 
to pin INT0 (P3.2) on the 8051 and set the bit GATE0.  When GATE0 is set Timer 0 will 
only run if P3.2 is high.  When P3.2 is low (i.e., the lightswitch is off) the timer 
will automatically be stopped.
Thus, with no control code whatsoever, the external pin P3.2 can control whether or 
not our timer is running or not.
USING TIMERS AS EVENT COUNTERS
We've discussed how a timer can be used for the obvious purpose of keeping track of 
time.  However, the 8051 also allows us to use the timers to count events. 
How can this be useful?  Let's say you had a sensor placed across a road that would 
send a pulse every time a car passed over it.  This could be used to determine the 
volume of traffic on the road.  We could attach this sensor to one of the 8051's 
I/O lines and constantly monitor it, detecting when it pulsed high and then 
incrementing our counter when it went back to a low state.  This is not terribly 
difficult, but requires some code.  Let's say we hooked the sensor to P1.0; the 
code to count cars passing would look something like this:
| JNB P1.0,$ | ;If a car hasn't raised the signal, keep waiting | 
| JB P1.0,$ | ;The line is high which means the car is on the sensor right now | 
| INC COUNTER | ;The car has passed completely, so we count it | 
As you can see, it's only three lines of code.  But what if you need to be doing other 
processing at the same time?  You can't be stuck in the JNB P1.0,$ loop waiting for a 
car to pass if you need to be doing other things.  Of course, there are ways to get 
around even this limitation but the code quickly becomes big, complex, and ugly.
Luckily, since the 8051 provides us with a way to use the timers to count events we 
don't have to bother with it.  It is actually painfully easy.  We only have to configure 
one additional bit.
Let's say we want to use Timer 0 to count the number of cars that pass.  If you look 
back to the bit table for the TCON SFR you will there is a bit called "C/T0"--it's 
bit 2 (TCON.2).  Reviewing the explanation of the bit we see that if the bit is clear 
then timer 0 will be incremented every machine cycle.  This is what we've already used 
to measure time.  However, if we set C/T0 timer 0 will monitor the P3.4 line.  Instead 
of  being incremented every machine cycle, timer 0 will count events on the P3.4 line.  
So in our case we simply connect our sensor to P3.4 and let the 8051 do the work.  
Then, when we want to know how many cars have passed, we just read the value of 
timer 0--the value of timer 0 will be the number of cars that have passed.
So what exactly is an event?  What does timer 0 actually "count?"  Speaking at the 
electrical level, the 8051 counts 1-0 transitions on the P3.4 line.  This means that 
when a car first runs over our sensor it will raise the input to a high ("1") condition.  
At that point the 8051 will not count anything since this is a 0-1 transition.  However, 
when the car has passed the sensor will fall back to a low ("0") state.  This is a 
1-0 transition and at that instant the counter will be incremented by 1.
It is important to note that the 8051 checks the P3.4 line each instruction cycle (12 
clock cycles).  This means that if P3.4 is low, goes high, and goes back low in 6 clock 
cycles it will probably not be detected by the 8051.  This also means the 8051 event 
counter is only capable of counting events that occur at a maximum of 1/24th the rate 
of the crystal frequency.  That is to say, if the crystal frequency is 12.000 Mhz it 
can count a maximum of 500,000 events per second (12.000 Mhz * 1/24 = 500,000).  If the 
event being counted occurs more than 500,000 times per second it will not be able to be 
accurately counted by the 8051.
 
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