Binary Definition and 569 Threads

Homework Statement A = {0, 1, 2, 3, 4 ,5} Let R be a binary relation on set A such that: R = {(0,1), (1,0), (1,3), (2,2), 2,1), 2,5), (4,4)} a. Make a Directed Graph for the relation R on A b. What must be added to R to make it reflexive/symmetric?

Homework Statement Which of the following numbers will be stored in an 8-bit computer as 11000001? This computer uses the 2's compliment convention. a)-64 b)-63 c)63 d)64 Homework Equations 1's and 2's compliment The Attempt at a Solution The answer is -63 and after trial...

Homework Statement Using AND, OR, NOT, NAND, NOR gates construct a circuit for the following problem 7. One of the more interesting public works problems is the “Superbowl” problem. At the beginning of halftime during the Superbowl, 35 million toilets are flushed almost simultaneously...

mass of a star... given is a binary star system, with mass m1=6*1.99*10^30kg, radius =r1, v=270km/s, orbital period, T=1.7days... the other star of the binary system(compact and dense)with mass m2, and radius r2 orbits around a same common point... (r1>r2, G=6.67*10^-11Nm^2kg^-2)...

Homework Statement (Fraleigh's Algebra, 2003, p. 36) There are 16 possible binary structures on the set {a, b} of two elements. How many nonisomorphic (that is, structurally different) structures are there among these 16? Phrased more precisely in terms of the isomorphism equivalence...

Say I have an X-ray binary system of a B2 main-sequence star with an unseen companion (i.e., black hole). They have a separation of 20 million km and an orbital period of 4 days. How do I figure out what the semi-major axis is? I need it for the formula for Kepler's Version of Newton's Third...

Homework Statement Two stars are in a circular visual binary system. The orbital period of the binary is 30 years. The distance to the binary is 20 parsecs. The angular radius of the orbit of each star is 1". What are the masses of the two stars? each star works out to be 4.4 solar...

Hello everyone, My colleague and I are transmitting serial data over a visible light communication channel. How can we eliminate flicker? - i.e. when the signal is 01000100 the LED is dimmer than 01111011. When long strings of data are sent, it causes the LED to flash and it's detectable to...

Homework Statement Two stars are in a circular visual binary system. The orbital period of the binary is 30 years. The distance to the binary is 20 parsecs. The angular radius of the orbit of each star is 1". What are the masses of the two stars? Homework Equations I am assuming that...

Hi, I have a rather simple question, how does a binary system with a common center of gravity affect the gravity on both members of the system. If we have a case of a single planet and ignore the star it orbits, the center of gravity should be in the dead middle of that planet. If we...

EDITED: I decided to move the thought experiment that led me to this question to the bottom of this thread. I will first state what my question is. Suppose that we live in a closed universe of three spatial dimensions and this universe is in a state of rapid collapse. Now suppose that all of...

Homework Statement I need to create a circuit using an NAND gate and somehow manipulate it (Using no other components) to have the same output values as an AND gate, Obviously the simple solution would be to just run the NAND gate into a NOT gate to get the output of an AND gate, but the...

Can someone explain to me or refer me to a site that explains how to use a binary counter such as the 74LS169 4 bit up/down binary counter? I'm not sure what all of the inputs do.

Hello! I wanted a circuit that conducts binary division. It should not use any microcontrollers or any higher devices. I have struggled a lot with this. I am just not getting the idea of how the division operation is carried out on a circuit. I want the basic idea. I can build it up. But how is...

Homework Statement I have to write a computer program to simulate a binary star system and I can not assume that the larger mass is stationary. I am given their respective masses, and the period of the system. I am just wondering how to find the write combination of initial velocity and...

Let J be a set of all linear functions. Consider the set R^2 in the Euclidean plane. Define a binary operation * on R^2 in such a way that the two binary structures <J, +> and <R^2, *> will be isomorphic. Any thoughts? If something is not clear please ask. Thank you.

Homework Statement One of the most massive binary star systems known is called WR-20a and is located in the Large Magellanic Cloud (a small companion galaxy to the Milky Way). This system is nearly edge on, and the stars are moving in circular orbits with observed speeds of 362.2 km s^-1 and...

Homework Statement Convert 33.9 to binary. Homework Equations Division by two and remainders The Attempt at a Solution I'm unsure since it is .9. Using the dividing by two method with the remainders wouldn't account for that. Could I do something like this? 33.9 = 339 *10^-1...

Homework Statement I'm supposed to prove that an improper fraction with a finite binary expansion also can be written as a decimal. Homework Equations Obviously my fraction a/b, where a>b, will look like p1/21 + p2/22 + ... + pn/2n The Attempt at a Solution And I have no idea...

Homework Statement The solution of the quadratic equation x2 - 11x + 22 = 0 are x = 3 or x = 6. What is the base of the numbers? Homework Equations Knowledge of how to convert from a generic base to decimal? The Attempt at a Solution I tried to just place r in where I would...

The Chinese remainder theorem tells us that the system of equations: \begin{align} x &\equiv a_1 \pmod{n_1} \\ x &\equiv a_2 \pmod{n_2} \\ &\vdots \\ x &\equiv a_k \pmod{n_k} \end{align} Uniquely determines all numbers in the range: X<N=n_1n_2\ldots n_k and that all solutions are...

I have 2 questions here. I know there is a lot of text, but don;t be scared or deterred from helping please, it is simple to understand and mostly just text/explanation. The Second one is very long, the first not so much. 1)Problem: Complete the proof of Observation 4.2 by showing that every...

This question has been bugging me... I've rephrased the question a bit so it shouldn't require much astrophysics knowledge to understand, just a bit of regular physics. Consider a binary star system. By doing some geometry based on visual observations of the positions of the two stars over...

I have to prove that a binary system of stars of equal mass, temp, etc. is brighter by a magnitude of 3/4 than a single star of equal mass, temp, etc. I've been trying to work it out with (m1-m2)=-2.5log(f1/f2) Might anyone be able to tell me if I am even on the right track?

In the sense of 'universal algebra': The natural numbers N can be presented as an free algebra with one constant (0) and one -unary- operation s(x) (i.e. x --> x+1). We have (of course) elements 0, s(0), s(s(0)), etc... Is there a good name for a set A with one constant (*) and one...

Homework Statement I've got a manchester encoded binary data. The question reads, Determine the beginning and end of bit periods (i.e. extract clock infromation and give the data data sequence How do I do this? I think its a simple question but I am having difficult because i don't know...

Can somebody please explain how to read a binary phase diagram.

Ok firstly I am new to statistics but have a layman's interest in entropy. On Wikipedia i came across this article on the binary entropy function (http://en.wikipedia.org/wiki/Binary_entropy_function). It says... If Pr(X = 1) = p, then Pr(X = 0) = 1 − p and the entropy of X is given by...

Hello, I am interested in what would happen if a photon became nested inside the Lagrangian point of a binary black hole system that was already far into the process of merging. It seems that the photon would be "frozen."

Hello all i need help in finding the best row/column in a binary matrix. suppose i have a matrix of size 100*50 containing only 1s and 0s, how can i find (using matlab)which row or column has highest number of ones? zeros and ones are randomly distributed in the matrix. i want to find best three...

Homework Statement What is the kinetic energy and total mechanical energy of a binary system of identical spheres orbiting around their common center of mass? M = mass R = radius Homework Equations Force of gravity = GM^2/2R K = 1/2MV^2 The Attempt at a Solution I don't know whether...

For my vector calc class we were given an assingment to do some stuff with a binary star system. You might note the lack of vectors and the lack of calc; this is because I am just having an issue with the setup. I am sure I can get the rest without assistance. We are given the two stars of...

Homework Statement Two individual stars in a binary system (m1=mo, m2=2mo) are in circular orbit about their common centre of mass and are separated by a distance ro. At some stage, the more massive star explodes - resulting in the two stars having equal mass after the explosion...

I have been given a practice exam from my professor (http://www.cs.pitt.edu/~aronis/cs0445/miscellaneous/cs445-spring-2007-test-3.pdf ) along with an answer sheet (http://www.cs.pitt.edu/~aronis/cs0445/miscellaneous/cs445-spring-2007-test-3-answers.txt ) and there are a good number of questions...

Homework Statement Find the binary form of x= 7/10 Suppose that the number x= 7/10 is to be stored in a 32-bit computer, find the nearby machine numbers x_ and x+ Homework Equations The Attempt at a Solution I have found that 7/10 in binary form is: 0.101100110011001100...

Define a binary operation on Z, the set of integers by the equation m * n = m + n + mn. Which of the following statemnts is / are true about the binary structure of Z with * 1) * is not associative 2) There is no element e belonging to Z such that for every z belonging to Z, z*e = e*z = z 3)...

http://spaceflightnow.com/news/n0210/11planet/ This is the only discovered planetary orbit around a close binary star that I know about. I have some general questions about planetary orbits around or within close binary systems or even the further apart binary star formations or triples...

hello, One can wonder what is the relation between the title of this thread and the subject of quantum mechanics, well, i was reading in a book about quantum computation and information and it was talking about computer science in some chapter where it shows a basic understanding of Turing...

Dear All, I have to test if a binary number is divisible to 2^n - 1 where n is even. Is there a test available for binary numbers like to test a divisibility by 3. Thanks in advance...

Hi, would you mind helping me in solving this problem? Because I stuck now. The problem is to print a space in a binary tree (not binary search tree) my current program can only output without appropriate spacing so if input is : 4 7 8 9 2 0 3 1 5 the output will become 4 7 8 9 2 0 3 1...

P.S. I'm not sure where to post this question, in particular I can't find a number theory forum on the coursework section for textbook problems. Please move this thread to the appropriate forum if this is not where it should belong to. Thanks!

Homework Statement A binary star consists of two stars that are orbiting a common centre. The only force acting on the stars is the gravitational force of attraction in a direction along the line joining the stars. a) Explain carefully why the total momentum of the binary is constant...

Homework Statement I want to convert the output of a strain gauge into an equivalent parellel binary word Homework Equations i need to list the process blocks in correct sequence and starting at the strain gauge The Attempt at a Solution Strain gauge- convert ohms to volts-...

This paper http://arxiv.org/abs/1003.0658 nails down the interpretation of a binary white dwarf system with an orbital period of only 5.4 minutes, versus 8 hours for the celebrated Hulse-Taylor binary neutron star system. This would probably be the strongest source in the sky of steady...

Homework Statement Hello, I'd like to prove that the category cmon of commutative monoids has binary products. The Attempt at a Solution actually I'm aware that i have to use cartesian products given monoids (M, \bulletm, e^{}_{m}) and (N, \bulletn, e^{}_{n}) it follows that...

Hi, I have a few questions because I'm watching a lecture on real analysis & I'm a little bit unsure of a few things. I have them in point form for your convenience in answering. http://www.youtube.com/watch?v=lMHR6d0leKA&NR=1 1. (from 2.30 in the video - no need to watch) A & B are sets &...

Hello, I am looking for a formal way to represent an n-ary relation as a combination of binary relations and logical connectives. Suppose we have a set A, a set B = \{b: b\subseteq A^2\} of binary relations over A, and a set of logical connectives C = \{\neg, \wedge, \vee\}. We define a set...

Edit: nvm

Homework Statement Figure 1 showed the light curve for an exlipsing binary system. This system consists of 2 stars. Star is is the larrger of the stars, and has a surface temp of T1=5000 K. Star 2 has a surface temp of T2=10000K. The ratio of their radii is R1/R2=4. Fnormal is the flux...

Hi Friends, I'm scratching my head for not able to figure out this problem of binary (fraction) subraction. 0.1101 - 0.00000011 = 0.11001101 Can someone please help me with steps how do i get the answer as sshown above . I tried as shown below and I am getting a different answer...