Binary Definition and 603 Threads

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...

I need to design a digital circuit using TTL chips (adders, registers, etc.) to perform integration on binary values. The binary values are converted from analog signals such as a sine wave, constant, square pulse, and saw tooth. I can achieve the process for constants and positive signals...

Homework Statement suppose that * is an associative binary operation on a set S. Let H = {a elementof S | a*x = x*a forall x elementof S}. Show that H is closed under *. Homework Equations The Attempt at a Solution i don't really know where to begin. I know i need to show forall...

I'm studying the ethernet devices and the transmission system over cable wire and I'm interested especially on the power consumpiot due to the binary transitions from 0 to 1 and viceversa in the transistors. It is possible to estimate how many WATTS (i thinks nW) are necessary to the device to...

3. A very cool, faint white dwarf is identified as such from its spectrum and is known to have an apparent visual magnitude, mv = 16.73. A series of observations over several years yields a parallax measurement of 171±2 mas (milli-arcseconds). (i) How far away is the white dwarf, and what...

I'm taking a microcontrollers course and need to know how to convert between base 2, 8, 16, and 10. I understand how each base works, however I'm finding it hard to convert between them. What are some good methods to use when converting bases?

i need to express 358 in binary single floating point format using excess 4 notation...i can do it easily using the 32-bit standard representation with the excess 127 exponent. i know that 358 is 101100110 therefore i assume floating point would be 1.01100110 with an exponent of 8. i know excess...

I was wondering why 1000 in signed 4-bit binary notation is equal to -8 in decimal. From my understanding, the 1 simply states that sign (1 being negative and 0 being positive) it has no real decimal value. I have read that it is not possible to correctly take the 2's complement of -8 so I...

I was listening to the regional NPR station yesterday and hear a brief discussion of two binary systems. http://stardate.org/radio/program.php?f=detail&id=2009-12-26 Is this common? Is it plausible? I presume that some how the velocity of Mu Columbae and the other star traveling 'north'...

Homework Statement The questions are about binary star system. Homework Equations Why the two stars in a binary star system are always diametrically opposite positions? Why the two stars have common period? Why the inner star is more massive? The Attempt at a Solution For the...

Hello PF users, This is my first time on these forums. I'm not sure this is exactly the right place for this question, but as I couldn't find an image processing sub forum I'm posting it here in the hopes someone can help me! Homework Statement I have a binary image (see below)...

Please could you let me know how to find out apparent magnitude of a star when you know the apparent magnitude of the binary star system? p.s. the distance between the observer and the system is'nt given. I have the luminosities of both the stars as well as absolute magnitudes of both the stars.

Hi all. I recently am thinking of developing a compression software with extreme speed and compression. The simple principle behind the working of this software is that the software is converting the program into binary code. Then, five sets of 0s and 1s are converted into alphanumeric...

Hey guys, got this question that's been giving me some trouble. The spectral lines in a low-mass main sequence star are observed to show sinusoidal velocity variations with an amplitude of 500km/s and a period of ten hours. Calculate the lower mass limit of the unseen binary companion...

Homework Statement The spectral lines in a low mass main sequence star show sinusodal velocity variations with an amplitude of 500 km/s and a time period of 10 hours calculate a lower limit to the mass of the unseen binary companion Homework Equations M1 + M2 =...

Homework Statement The Spectral lines in a double-lined spectroscopic binary exhibit sinusodal motion with ampliutudes of 15 and 35 km/s in a period of 80hrs. assuming that we view the system close to edge on, calculate the individual masses in solar masses. What would you look for...

Homework Statement A binary star is resolved on the sky, the orbit is circular, it has a period of 30 years and the semi-minor and semi-major axes are observed to be 0.5 and 4 arcseconds respectively. If the distance to the system is 10pc, what are the masses of the stars? give an answer in...

Hi, Let's say i want to make a binary counter using jk-flip-flops that counts 1,3,5,7,1... Then i'd use the excitation table for the jk-flip-flop to determine the next state. The next step would be to use karnaugh-maps to minimize the j and k columns. My question is: Do i need to...

Homework Statement This was a midterm question that took some people a rapid time to solve, hence I can only imagine either I was needlessly long winded or something else occurred. Hypothesis 1: S = 2 + \omega Hypothesis 2: S = -2 + \omega \omega \sim \mathcal{N}(0,\sigma^2_{w})Homework...

Homework Statement T is a binary relation defined on A = {0, 1, 2, 3}. Let T = {(0,2), (1,0), (2,3), (3,1)} Find T^t, the transitive closure of T.The Attempt at a Solution I'm going to skip using commas cause it takes to long 02 23 = 03 31 10 = 30 23 31 = 21 10 02 = 12 12 23 = 13 02 21 = 01...

Well i found this sentence: "If the number of even bits minus the number of odd bits is a multiple of 3 (e.g. -3,0,3,6, etc) then the number is divisible by three." Can anyone tell me the proof of this? Thanks

Homework Statement (a) About half of the visible "stars" are actually binary star systems, two stars that orbit each other with no other objects nearby. Consider the motion of the center of mass of a binary star system. For a particular binary star system, telescopic observations repeated...

Homework Statement I'm totally lost about this. I know the properties of binary relations (or at least I think I know them, what it means to be transitive, complete etc). This exercise asks me to show that P and I are strictly partial and equivalent respectively when P and I are defined...

Homework Statement A binary star system has a period of 90 days. It consists of two equally massed stars each with a mass of twice that of the sun, that rotate like a dumbbell about the center of mass at the midpoint between them. How far apart are these stars? Homework Equations F =...

Homework Statement I have a function f: \mathbb Z_p \times \mathbb Z_p \to \mathbb Z_p for some prime p. I am given (r_1, r_2) \in \mathbb Z_p \times \mathbb Z_p\setminus_{\left\{0,0\right\} } , and told that f(a_1, a_2) = f(b_1,b_2) \Leftrightarrow (a_1,a_2)-(b_1,b_2) = m (r_1,r_2)...

Hello PF members! I am interested in proving that the conversion of binary to hex is valid. Example: 1000100100110111 Breaking into 'quartets' 1000 1001 0011 0111 Now using the fact that 24 = 0...15 1000 = 8, 1001 = 9, 0011 = 3, 0111 = 7. So 10001001001101112=893716 I can...

Homework Statement 2 stars rotating around the common centre of mass have masses m and 3m. What is the ratio of the force due to each star at the common centre of mass. Homework Equations None The Attempt at a Solution I tried to find the centre of mass and applied Newtons law of...

Homework Statement We observe a binary system in which the two stars are 1 and 2 arc sec, respectively, from the center of mass. The system is 10pc from us. The period is 33 yr. What are the masses of the two stars, assuming that i=90 degrees? Homework Equations The Attempt at a...

1. Convert the following numbers to 32-bit two's complement binary numbers. -22 , -100 Can someone explain this to me? I thought I just convert the +22, which is 10110 and add it to all the 1's. Like, 111111...10110 and positive would be 00000000...10110. But that's not how it...

is it possible to connect 2x 7447 IC's and 2x 7 segment and input binary 0-15?

I am looking for a non dimensional parameter that will tell me if I can neglect the flow of one of the gases and just consider the mass and momentum conservation equations for the background species. This is not a homework question. For example: If there is a pipe dumping a contaminant into...

2 questions that came up in a past paper. A binary tree which is both full and complete and has h levels contains a total of 2^(h-1) leaf nodes. Prove that this is the case for all h > 0. Show that with h levels the number of internal nodes is 2^(h−1) − 1 proof by induction apparently...

Group properties: 1. \forall a, b, c \in G, (a * b) * c = a * (b * c). (associativity) 2. \exists e \in G such that \forall x \in G, e * x = x * e = x. (identity) 3. \forall a \in G, \exists a' \in G such that, a * a' = a' * a = e (inverse) Instruction: Determine whether the...

Statement: One of the key elements in being in what people call group is that elements must be associative. So this means if we take any three elements from what we propose to be a group, they should be associative, a*(b*C) = (a*b)*c Question: Suppose we do have a group with elements a, b, c...

Hello :smile: I was wondering if I could get some help with work on Binary Relations. We've done very little of this in class, and hours of Googling has provided little help. So I was hoping that someone could look over my attempts at the questions and let me know if I've gone wrong...

Here is a good tool for checking your solution when converting a number from decimal to binary or from binary to decimal. It supports integer numbers (8, 16 and 32 bits) for both unsigned and signed numbers. It also includes a converter for single precision and double precision numbers...