ArticleslgStudy

science

Hazard (logic)

Hazard (logic) is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Hazard (logic) rather than just read about it. In short: In digital logic, a hazard is an undesirable effect caused by either a deficiency in the system or external influences in both synchronous and asynchronous circuits. Logic hazards are manifestations of a problem in which changes in the input variables do not change the output correctly due to some form of delay caused by logic elements (NOT, AND, OR gates, etc.) This results in the logic not performing its function…

Key takeaways

  • Hazard (logic) belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Hazard (logic) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Hazard (logic) from memory before moving on to harder problems.

Reference excerpt

In digital logic, a hazard is an undesirable effect caused by either a deficiency in the system or external influences in both synchronous and asynchronous circuits. Logic hazards are manifestations of a problem in which changes in the input variables do not change the output correctly due to some form of delay caused by logic elements (NOT, AND, OR gates, etc.) This results in the logic not performing its function properly. The three different most common kinds of hazards are usually referred to as static, dynamic and function hazards. Hazards are a temporary problem, as the logic circuit will eventually settle to the desired function. Therefore, in synchronous designs, it is standard practice to register the output of a circuit before it is being used in a different clock domain or routed out of the system, so that hazards do not cause any problems. If that is not the case, however, it is imperative that hazards be eliminated as they can have an effect on other connected systems.

Static hazards A static hazard is a change of a signal state twice in a row when the signal is expected to stay constant. When one input signal changes, the output changes momentarily before stabilizing to the correct value. There are two types of static hazards:

Static-1 Hazard: the output is currently 1 and after the inputs change, the output momentarily changes to 0,1 before settling on 1 Static-0 Hazard: the output is currently 0 and after the inputs change, the output momentarily changes to 1,0 before settling on 0 In properly formed two-level AND-OR logic based on a Sum Of Products expression, there will be no static-0 hazards (but may still have static-1 hazards). Conversely, there will be no static-1 hazards in an OR-AND implementation of a Product Of Sums expression (but may still have static-0 hazards). The most commonly used method to eliminate static hazards is to add redundant logic (consensus terms in the logic expression).

Example of a static hazard Consider an imperfect circuit that suffers from a delay in the physical logic elements i.e. AND gates etc. The simple circuit performs the function noting:

f ( A , B , C ) ¯ = A B + A ¯ C {\displaystyle {\overline {f(A,B,C)}}=AB+{\overline {A}}C}

From a look at the starting diagram it is clear that if no delays were to occur, then the circuit would function normally. However, no two gates are ever manufactured exactly the same. Due to this imperfection, the delay for the first AND gate will be slightly different than its counterpart. Thus an error occurs when the input changes from 111 to 011. i.e. when A changes state. Now we know roughly how the hazard is occurring, for a clearer picture and the solution on how to solve this problem, we would look to the Karnaugh map. A theorem proved by Huffman states that adding a redundant loop 'BC' will eliminate the hazard. The amended function is:

f ( A , B , C ) ¯ = A B + A ¯ C + B C {\displaystyle {\overline {f(A,B,C)}}=AB+{\overline {A}}C+BC}

Now we can see that even with imperfect logic elements, our example will not show signs of hazards when A changes state. This theory can be applied to any logic system. Computer programs deal with most of this work now, but for simple examples it is quicker to do the debugging by hand. When there are many input variables (say 6 or more) it will become quite difficult to 'see' the errors on a Karnaugh map.

Dynamic hazards A dynamic hazard is a series of changes of a signal state that happen several times in a row when the signal is expected to change state only once. A dynamic hazard is the possibility of an output changing more than once as a result of a single input change. Dynamic hazards often occur in larger logic circuits where there are different routes to the output (from the input). If each route has a different delay, then it quickly becomes clear that there is the potential for changing output values that differ from the required / expected output. E.g. A logic circuit is meant to change output state from 1 to 0, but instead changes from 1 to 0 then 1 and finally rests at the correct value 0. This is a dynamic hazard. As a rule, dynamic hazards are more complex to resolve, but note that if all static hazards have been eliminated from a circuit, then dynamic hazards cannot occur.

Functional hazards In contrast to static and dynamic hazards, functional hazards are ones caused by a change applied to more than one input. There is no specific logical solution to eliminate them. One really reliable method is preventing inputs from changing simultaneously, which is not applicable in some cases. So, circuits should be carefully designed to have equal delays in each path.

Others Combinational logic hazards In combinational logic is a hazard that depend on the distribution of signal propagation delays in the logic circuits and overall design of a logic circuit function implemented. Combinational functional hazards In combinational logic are hazards that can be detected and suppressed at a higher level of programming, by studying and modifying the output logic function. Sequential hazards Is a kind of undesirable signal changes found in looped systems.

See also Don't care Floating body effect, a probable cause for a hazard silicon on Insulator-devices Glitch Hazard (computer architecture) Logic redundancy Race condition

References

http://www.ee.surrey.ac.uk/Projects/Labview/Sequential/Course/02-Hazards/hazards.htm#FunctionHazards

Worked examples

Example 1 — a first encounter with Hazard (logic)

Start with the simplest possible case. Write down what Hazard (logic) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Hazard (logic) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Hazard (logic) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Hazard (logic)

In research
Hazard (logic) appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Hazard (logic) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Hazard (logic) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Digital electronics, so understanding it makes those chapters shorter.
In everyday life
Look for Hazard (logic) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Hazard (logic)” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Hazard (logic) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Hazard (logic) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Hazard (logic) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hazard (logic) in simple terms?

In digital logic, a hazard is an undesirable effect caused by either a deficiency in the system or external influences in both synchronous and asynchronous circuits. Logic hazards are manifestations of a problem in which changes in the input variables do not change the output correctly due to some…

Why does Hazard (logic) matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Hazard (logic)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Hazard (logic).

Tags

  • Digital electronics

Keep exploring