Logic Definition and 1000 Threads

Homework Statement Suggest one way of sizing the transistors of the logic circuit such that its worst case tpHL equals the tpHL of an inverter with a sizing of (W/L)min. Homework Equations I think the only equation is the (W/L) itself. The Attempt at a Solution I have actually done the front...

First of all, this is NOT a homework question. So I give you three barrels, one has 50 apples, the second has 50 oranges, the third has 50 - a mixture of both apples and oranges. However, I have intentionally placed the wrong labels on all of them. Find the minimum number of fruits you need...

Homework Statement Put the sentence into symbols using the suggested notation. Dolphins and porpoises grin and frolic in the sea. (Dx = x is a dolphin; Px = x is a porpoise; Gx = x grins; Fx = x frolics in the sea) Homework Equations None. The Attempt at a Solution [/B] (\forall...

(1) Anyone who is thin, tall and energetic will be good basketball player. (2) Some people are tall but not good basketball players. (3) Anyone who do exercise or eating healthy food will be energetic. (4) Saman is thin and tall person who do exercises. Write the above sentences in First Order...

I want to supply some LED's and a motor from an outside source of electricity (i.e. a battery pack, wall outlet, batteries in series, etc.) and want to use the Arduino to be able to "switch" on and off these sources so that I am able to control long strands of LED's with the Arduino (for like a...

The problem statement Hi I'm writing a report on a design of a basic all-NAND circuit. In reality, how are these circuits made ? Do we just use TTL etc. integrated circuits and combine them as necessary? Thanks

I wasn't sure if this went in math, or computer science. I'm posting it here, because it is for a computer science course, although it's technically mathematical proofs... 1. The problem: Prove or disprove the following claim: For all integers x, y, and z, if x does not divide yz then x does...

Homework Statement Hi everyone, Very new to this forum so please bear with me! I have an assignment as part of my engineering course that I seem to be struggling with so I'm wondering if I can grab some help. Basically I have a water tank that feeds three separate processed (A, B, C). When...

Homework Statement [/B] Impliment the expression which is already in minimum sum of products form using only two-input NAND gates. No gate may be used as a NOT. All inputs are available both uncomplemented and complemented. (The number of gates required is shown in parentheses.) f = ab'd' +...

Hey guys here is the question i'd appreciate if you could help me with it: it says that no one dies in planet X,some spies of planet Y were captured by planet X's police.They are so professional that won't say anything to police so their inspection will go on forever and their inspection has no...

Homework Statement For each of the premise-conclusion pairs below, give a valid step-by-step argument ( proof ) along with the name of the inference rule used in each step premise { ¬ p → r ∧ ¬ s , t → s , u → ¬p , ¬w , u ∨ w } conclusion : ¬t ∨ w Homework Equations All...

Homework Statement I need to make a circuit that detects even numbers. Need to find the equation for F when input A and B are both even. Input A: Word of 5 -bit signed representation in complement 2. Input B: Word of 3 -bit signed representation in complement 2. Homework Equations for B...

Homework Statement 1. Convert the following NAND-NOR circuit to simplest AND-OR circuit (bubbles allowed) such that the output gate is an AND. Then, convert the resulting circuit back into a NAND-NOR circuit (no bubbles) such that the output gate is a NOR. Homework EquationsThe Attempt at...

Homework Statement I am confused a little bit. I have been asked to simplify this function: A/B + /BC + /AB I seriously can't seem to know how to simplify this as for me its already simplified. Homework Equations N/A The Attempt at a Solution The best I could do is : (/A+/B) * (A+B+C) I did...

P.S I know I am not supposed to use attachment but there are no way for me to input the table in a clean way... same for the logic circuit drawing. Would anyone mind helping me? 1. Homework Statement Homework Equations AND gates require both input to be True to get a true ouput NOT gates...

Homework Statement How is he able to just swap the inverter for a NAND gate? Doesn't a NAND gate require two things? See the text on the right for his explanation [/B] Homework EquationsThe Attempt at a Solution

Design a circuit that will light the same number of LEDs as there are active switches. You will utilize three switches as input. The LEDs should be lit as a bar-magnitude display. The output pattern should look as follows: Active Input switch count LED bar-magnitude display (vertical) no...

I'm having trouble with translating this english sentence into logic symbols. The sentence is The numbers four and five aren't both prime, but the numbers five and seven are. I was thinking ~(F&I)v(IvS) but I really don't know how to deal with the "but". Thanks

Homework Statement Draw the simplest logic gate or circuit for the description below. The inputs are ##a, b, c## and the output is ##z##. ##z = 0## only if ##abc = 010## or ##abc = 110##Homework EquationsThe Attempt at a Solution So i drew up a quick table, AND and OR'ed the required terms...

This might be a very vague and unclear question, but let me explain. When an object at rest moves, or moves from point A to point B , we know the object must have had some velocity (1st derivative of position) during that trip. It's also true that the object had to have accelerated to gain that...

Hi, I have used Digital Works and Logisim for doing things like building memory cells out of logic gates and general study of sequential logic. The free version of Digital Works does not work on my 64 bit windows computer at work, and Logisim does not offer all of the features of Digital Works...

Hi, I have been through Alan Clements' Principles of Computer Hardware along with some online texts. I would like to purchase a comprehensive text on Sequential Logic at the undergraduate level. Having never studied this topic formally at university, I'm not sure how to discriminate between a...

Consider the predicates C(x)=x is a comedian F(x)=x is funny where domain=All people in the world Now consider the predicate logic ##1. \forall x [C(x) \rightarrow F(x)]## ##2. \exists x [C(x) \rightarrow F(x)]## Doesn't both the above predicate logic refers to the same conclusion that "All...

Homework Statement 1. Reduce the following logical expression to four literals and draw a gate level circuit, which implements the result. $$AB + BCD + BC + A \bar C$$ 2. Simplify the following: $$(A + \bar B C)(B + C)(B + \bar C)$$ Homework EquationsThe Attempt at a Solution I would just...

I know that I have already posted a couple of threads like this one (albeit dealing with different courses), but I have had excellent responses here, and I was hoping I could get a couple more. I know that it is best to speak to academic advisors and professors, but there are only a couple that...

Hello everyone, I have a question that seems simple at first but is "hard" for me to answer. I'm teaching a general education math course at a community college next semester, and one of the key components to that course is symbolic logic. I'm pretty confident in my knowledge and ability to...

couldnt understand why the input is ( (XY)' (XY)' ) ' , IMO , it should be ((XY)' ) ' . because the 2nd logic gates receive (XY)' input from the first logic gates , and the second logic gates act as inverter for the first logic gates.

Hello, I'm debating between taking either abstract algebra, theory of numbers, or intermediate symbolic logic as a math elective. Does anyone have any idea which would make my life easier?

do any of you know how it would apply ?

~(P<->Q) ⊣ ⊢ (P<->~Q) I'm suppose to write the proof for this equivalence but I can't figure it in either direction The closest I got was (P->~Q) from ~(P<->Q) but I can't figure anything else out

i take introduction math logic course in college and professor ask for relation between equivalent and valdity and consequence can u help??

what is the defintion of consequence in logic

Homework Statement A recreational (open) hot air balloon (i.e., Pinside is approximately Poutside) has a volume of 2107 m3 when fully inflated. The total weight of the balloon, basket, ballast and pilot is 1832.6 N (412 lbs). By how much must the density of the air in the balloon be smaller...

You visit a remote desert island inhabited by one hundred very friendly dragons, all of whom have green eyes. They haven't seen a human for many centuries and are very excited about your visit. They show you around their island and tell you all about their dragon way of life (dragons can talk...

I previously used the Ziegler method to tune the parameters of my PID controller to control my robot's position. I then implemented fuzzy logic for self-tuning the parameters. I have two inputs to the fuzzy logic controller; one is the position error and the error rate. I know that my problem...

Is there any reason why logic gates are built using transistors instead of PN junctions? Wouldn't it be more cost-efficient to use PN junctions? I am referring to CMOS logic gates. Also, what can a transistor do that a PN junction can't?

Homework Statement Hi everyone, i am currently struggling in my digital design and logic class that includes boolean simplifications and whatnot. I seem to understand how to simplify and am able to comprehend how the karnaugh maps work but what i do not understand is for example, on our...

So i just recently had to drop two math courses, topology, math logic, because my math maturity wasn't up to the level needed to excel in them. I intend on taking them again, but not without first more preparation which leads to my question. Which order would i benefit more from in preparing for...

Hello fine. I'm studying logic and great difficulties to understand its principles, and should prove some theories involving the laws of identity of sets of mathematics using the method of natural deduction, they are: a) A ∪ ∅ = A b) A ∩ ∅ = ∅ I am trying as follows, but I can not solve...

(c v ~ h) - > ~ m (prem 1) T -> ~ c (prem 2) T ^ h (prem 3) trying to get m 1) T (spec prem 3) 2) ~ c ( M.PON prem 2, 1) 3) ~ h (ELIM prem 1 (c v ~ h), 2) 4) ~ h - > ~ m (replace (c v ~ h) with ~h) 5) m -> h (Contrap. 4) 6) ~m v h (M.TOL 5,3) 6) m

A bulb in a staircase has two switches , one at the ground floor and the other one at the first floor. The bulb can be turn ON and also OFF by any of the two switches irrespective of the state of the other switches, then what is the logic of switching of the bulbs

I have made measurements using Vernier Calipers. What I don't understand about them is the coinciding thing. How does one know the value of the last digit of the measurement by seeing which marker of the main scale coincides with the Vernier scale?

Hey Guys, I am currently a first year computer science student and I am taking discrete mathematics. After having done the logic portion of discrete, I wanted to learn more about logic so I went online and found Peter Smith's guide on learning logic. I followed his advice under "baby-logic" and...

what are some applications of logic gates? (NOT, AND, OR, NAND, NOR, XOR) also what is a binary selective mask

Why we are not writing Cgs Cdb in depletion mode nmos here why no Csb in bottom nmos Can somebody please explain how to write which components of Cload or provide some links from where i can understand it better thank you, this picture is from...

Homework Statement http://i.imgur.com/k8nq4HZ.jpg So I need to assign IC pin numbers to the input and output of the logic gates.Homework Equations None The Attempt at a Solution I only have limited knowledge on integrated circuits as a whole, so I'm pretty confused altogether. I know that I...

Homework Statement I am trying to understand the logic behind the water pump that requires a user to take into consideration the volume of water at sub-intervals of depth of a tank. There are two types of problems, one where the volume changes at different depths, and one where it doesn't. In...

Homework Statement Hey guys, so I have been trying for the longest time to find the pattern in a hard-level logic problem with no success. I was wondering if someone on here could take a look at the problem and come up with the correct pattern. The variables involved in the problem are the...

Hello, I just joined because I am having a serious issue figuring out a logic gate circuit with 4 source signals, and a non active state and two items that activate depending on a number of different states for each signal. I've been giving myself a headache for hours trying to puzzle this out...

Homework Statement Let S be the theory with no NONlogical symbols and no NONlogical axioms. Show that ~~(x = x) V ~(x = x) is a theorem of S NOT provable without propositional axioms. Homework Equations Let ƒ be a mapping from the set of formulas to the set of truth values such that...