LATCHESA latch is like a sticky switch - when pushed it will turn on, but stick in place, it must be pulled to release it and turn it off. A latch in ladder logic uses one instruction to latch, and a second instruction to unlatch, as shown in Figure 8.1 A Ladder Logic Latch. The output with an L inside will turn the output D on when the input A becomes true. D will stay on even if A turns off. Output D will turn off if input B becomes true and the output with a U inside becomes true (Note: this will seem a little backwards at first). If an output has been latched on, it will keep its value, even if the power has been turned off. 
Figure 8.1 A Ladder Logic Latch The operation of the ladder logic in Figure 8.1 A Ladder Logic Latch is illustrated with a timing diagram in Figure 8.1 A Timing Diagram for the Ladder Logic in Figure 8.1. A timing diagram shows values of inputs and outputs over time. For example the value of input A starts low (false) and becomes high (true) for a short while, and then goes low again. Here when input A turns on both the outputs turn on. There is a slight delay between the change in inputs and the resulting changes in outputs, due to the program scan time. Here the dashed lines represent the output scan, sanity check and input scan (assuming they are very short.) The space between the dashed lines is the ladder logic scan. Consider that when A turns on initially it is not detected until the first dashed line. There is then a delay to the next dashed line while the ladder is scanned, and then the output at the next dashed line. When A eventually turns off, the normal output C turns off, but the latched output D stays on. Input B will unlatch the output D. Input B turns on twice, but the first time it is on is not long enough to be detected by an input scan, so it is ignored. The second time it is on it unlatches output D and output D turns off. 
Figure 8.1 A Timing Diagram for the Ladder Logic in Figure 8.1 A Ladder Logic Latch The timing diagram shown in Figure 8.1 A Timing Diagram for the Ladder Logic in Figure 8.1 has more details than are normal in a timing diagram as shown in Figure 8.1 A Typical Timing Diagram. The brief pulse would not normally be wanted, and would be designed out of a system either by extending the length of the pulse, or decreasing the scan time. An ideal system would run so fast that aliasing would not be possible. 
Figure 8.1 A Typical Timing Diagram A more elaborate example of latches is shown in Figure 8.1 A Latch Example. In this example the addresses are for an older Allen-Bradley Micrologix controller. The inputs begin with I/, followed by an input number. The outputs begin with O/, followed by an output number. 
A normal output should only appear once in ladder logic, but latch and unlatch instructions may appear multiple times. In Figure 8.1 A Latch Example a normal output O/2 is repeated twice. When the program runs it will examine the fourth line and change the value of O/2 in memory (remember the output scan does not occur until the ladder scan is done.) The last line is then interpreted and it overwrites the value of O/2. Basically, only the last line will change O/2. Latches are not used universally by all PLC vendors, others such as Siemens use flip-flops. These have a similar behavior to latches, but a different notation as illustrated in Figure 8.1 Flip-Flops for Latching Values. Here the flip-flop is an output block that is connected to two different logic rungs. The first rung shown has an input A connected to the S setting terminal. When A goes true the output value Q will go true. The second rung has an input B connected to the R resetting terminal. When B goes true the output value Q will be turned off. The output Q will always be the inverse of Q. Notice that the S and R values are equivalent to the L and U values from earlier examples. 
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