Binary Definition and 603 Threads

Homework Statement Find the inverse function f^{-1} of the binary entropy f (given below) on the domain of definition [0;1/2[ (i.e. where f is continuous strictly increasing). The function f is given by: f(x)=-x\log(x)-(1-x)\log(1-x) (where \log is the logarithm base 2) Homework...

I was doing some conversions from binary to decimal and vice versa today using Windows Calculator and I noticed the following, if I multiply B11111111 and B11111111 I get the following: B1111111000000001. Uhhh...great! What's going on here? It looks like it's rolling over the 8 LSB when it...

I have a question regarding binary or multiple star systems and their [hypothetical] orbiting planets. I am curious if it is common (or even possible) for one or more of the orbiting planets to constantly switch the star they are orbiting, as in a figure eight shape. Can the stars "trade the...

Obtain Binary String ? Homework Statement Given That X=10111 ,Y=101; Z=1001, obtain binary strings that represent P Q where P=X+Y and Q=P-Z; state clearly each rule you apply . Homework Equations The Attempt at a Solution Hey up to the extent which i know i did this as a...

Homework Statement X={4,8,12,16} Y={2,6,10,12} K=X U Y(union) They asked to represent X and Y on K using binary String >i don't know how to do this please help .What is meant by Binary String ? Homework Equations The Attempt at a Solution

What is the correct formula for center of mass of a binary system? I had seen that it is R=\frac{m_{1}r_{1}+m_{2}r_{2}}{m_{1}+m_{2}} If that is the right equations what exactly does r one and two stand for? I had also seen a much more complicated formula. Side note: This is not...

I am required to design a synchronous binary counter using jk flip-flops giving the count sequence: 0, 8,9,4,7,2,1,0 I have derived the excitation table using 4 jk flip-flops, however when using karnaugh maps to minimise or trying to use the unminimised function in a circuit I am unable to...

Homework Statement If R and S are two equivalence relations on the same set A, we define R ◦ S = {(x, z ) ∈ A × A : there exists y ∈ A such that (x, y) ∈ R and (y, z ) ∈ S }. Show that the following conditions are equivalent: (i) R ◦ S is a symmetric relation on A ; (ii) R ◦ S is a...

Homework Statement Using the conservation of angular momentum and Kelper's third law, show that the relative change in orbital period produced by mass transfer is given by 1/P * dP/dt = 3 dM1/dt * (M1 - M2)/(M1M2) Homework Equations L = mu * sqrt(GMa) P^2 = (4*PI^2)/(G(M1+M2)) * a^3...

Default semimajor axis of binary system help hi, I'm not sure if I am posting in the right place but I could really do with some help figuring out the semi major axis of a binary star system. I have been give the mean distance of each star from the center of mass (star A = 3.96 AU star B =...

Need a cheap "binary" AM transmitting circuit I'm posting this in a forum because I'm not really sure what to search for online. I need a circuit that transmits a one or a zero, basically I have a sensor and i want it to turn something on or off remotely. I was thinking about using an AM...

Hi everyone, i have a binary search tree proble, please help me.. * Find record with key x in the tree. If not found, return the two nearest records in the tree (in alphabetical order) * Return values: * FOUND: Return the address of the node in the tree which contains key x, set n1 =...

Homework Statement 1) How to convert 101010.0101B to decimal? 2) and Hexa number 17DB.C to Binary. 3) and lastly, -101 (decimal) to the 2's complement form. Homework Equations The Attempt at a Solution for the first one, clearly my problem lies at .0101B. I thought it's...

Problem about "binary star system" Homework Statement 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...

Homework Statement I am working on an assignment in which I have to add a method to my BST class which checks if a binary tree object is in fact a Binary Search tree. So (1) A left child must be smaller than the parent (2) A right child must be larger than the...

Homework Statement I am trying to understand the following example question in my course book, The answer is actually given but i don't understand how they got to it, i would like someone to give me an idea how this has been worked out In the Sirius Binary system the orbital period is 50...

10.00 + 00.11 = 10.11 ...am i right? how about if.. 0.1 + 0.1 = ? is it equal to 1.0 ? thx for helping =)

As per topic. Is there any well established method for solving linear systems for binary data? pardon if this is in wrong cathegory, english is not my first language and I'm not that well aware of the english terms. i.e. the classical g = M*f problem, where g is measured data and we want...

Below is a question I recently got wrong, and the (automated) feedback. Since the stars are in a stable configuration, I realize that the forces must be equal, but I thought that the differing gravitational forces were balanced by the centripetal forces of the orbit (the smaller star being...

Homework Statement Let A = {a, b, c} be a set with 3 elements. (a) How many binary relations are there on A? (b) How many binary relations on A are reflexive? (c) How many relations on A are symmetric? (d) How many binary relations on A are both symmetric and reflexive? Homework...

Suppose that a binary-star system consists of two stars of equal mass. They are observed to be separated by 350 million {\rm km} and take 5.4 Earth years to orbit about a point midway between them. I got 1.1x10^29 as my answer, but it is incorrect. Can anyone help me out?

... can we convert this equation to binary notation? Also another one, would an irrational number be irrational in any number format?

Hi i am a theoretical physicist and am trying to understand electronics. (not a very bright idea) basically my question is how can we use 2 input xor gates to give a high output when an odd number of bits are high in a four bit binary. also what would such a circuit look like.

Homework Statement a. In each case a binary operation * is given on a set M. Decide whether it is commutative or associative, whether an identity exists, and find the units. M=N(natrual); m*n = max(m,n) b. If M is a moniod and u in M, let sigma: M -> M be defined by sigma(a) = ua for all a...

I have to write a C++ binary search code where it generates the first 100 odd numbers and the search is used to the find the # 23 any help? I am ompletely lost

Hello, Currently, I am working on a science project involving the creation of silica aerogels through the process of freeze-drying. As a result, i need to experiment with mixtures of solvents with low thermal expansion coefficients (so the crystallization of the solvents will not damage the...

Hello, I am currently doing a 3rd year undergrad project on forward radio meteor scatter the problem involves the following: I have over 80Gbs worth of 10 second data blocks of recorded radio input. They are stored as date stamped .bin files in binary format, each of order 1700kb or...

Hi, I'm trying to prove that there's a bijection between the open interval (0,1) and the set of all sequences whose elements are 0 or 1 in order to show cardinality continuum. So let C={a1, a2, a3,...|ai is either 0 or 1} which is the set of all sequences of 0's and 1's and let...

Homework Statement 2 solar type stars are in a close binary system. Each indivual star has an apparent brightness of m = 10 mag. Determine the apparent magnitudes of the combined system of the 2 stars assuming they cannot be resolved as individual objects. Determine the minimum brightness...

Homework Statement How many different commutative binary operations can be defined on a set of 2 elements? On a set of 3 elements? The Attempt at a Solution I do not understand the question. Seems like an infinite number.

So I have really been struggling with this question. The original question said: The map \varphi:Z->Z defined by \varphi(n)=n+1 for n in Z is one to one and onto Z. For (Z, . ) onto (Z,*) (i am using . for usual multiplication) define * and show that * makes phi into an isomorphism. I know that...

Homework Statement 1) Let S be a set and p: SxS->S be a binary operation. If T is a subset of S, then T is closed under p if p: TxT->T. As an example let S = integers and T be even Integers, and p be ordinary addition. Under which operations +,-,*,/ is the set Q closed? Under which...

My first topic here. Here goes I've written a small program that first calculates pi in decimal and then changes it into binary. But as you know there's no accurate binary presentation even for 0.1 so I just can't change the whole 20000 decimal representation of pi into binary. I there for...

I can't figure out how to get these 2 methods to work. In my assignment description it says public BinTree getLTree() Get a reference to the left subtree. If this is not possible to do then throw an IllegalArgumentException. NOTE This routine returns a BinTree, not a Tnode. You...

Prove or find counterexamples: If A x B = empty set then A = empty set or B = empty set.

I may be posting to the wrong forum, if so, please advise. I'm reading a book on rotational symmetry and its relationship to quantum mechanics. The author is talking about rotations of a unit sphere, in particular binary rotations, i.e. rotations of 180 degrees. He says "If a rotation [he...

hey i've been having trouble understanding a part in this question. i'll just map out the basics to the question: 2 stars with a velocity of 220km/s are orbiting at equal distance. the masses of the stars are equal. period = 14.4 days it asks to find the mass of each star. i understand that...

where can i find a tutorial on binary tree recursion i searched in google: http://www.google.co.il/search?hl=iw&sa=X&oi=spell&resnum=0&ct=result&cd=1&q=binary+tree+recursion&spell=1 and there is no tutorials for this kind of stuff ??

Homework Statement A binary operation is defined by: the set of 2 x 2 matrices with real entries under matrix multiplication. Find the identity element and the inverse. Homework Equations identity element: a\oe=e\oa=a inverse: a\ob=b\oa=e The Attempt at a Solution I think...

This is more of general question, but i am working on a project that involves binary stars. Basically, i am capturing data through a telescope, and i was wondering if i had all the parameters, how could i project, or calculate the motion of a binary star in terms of speed and direction. Any...

I don’t get how a http://www1.eere.energy.gov/geothermal/powerplants.html#binarycycle" keeps the fluid flowing in one direction. My guess is it has something to do (1) with the condenser and (2) with a pump thrown in. The problem with a pump is that it must use up as much energy as the heat puts...

The internal path length of a full binary tree is the sum, taken over all internal nodes of the tree, of the depth of each node. Likewise, the external path length is the sum, taken over all leaves of the tree, of the depth of each leaf. Consider a full binary tree with n internal nodes...

Does anybody know where i can get info on generating random binary trees? I've been checking a lot of publications and have come across the yule process and uniform method. The trees they are being applied to, however, are speciation trees and most of the stuff is incomprehensible to me. Can...

Bear with me, Haow mainy difffferent biiinary operarations can be dephined on the set S when it has 1,2,3 or n elementz? Sorry I typed so wierd, I don't want anybody finding this answer. Can I confirm with you guys/gals in here that the answer is (hopefully) 1 elem = 1, 2 elem = 2^4...

I'm trying to figure out how to convert from decimal to binary. I've read a few explanations but I still don't understand. Could someone please help? The method I've read about invloved dividing the number you want to convert, by 2 each time, and looking at the remainder.

I am having problems reading a binary file in FORTRAN. I know that the file was generated by the code below: open(7,file='hctd1_kxx.dat',form='unformatted') ... write(7) iscl write(7) inode,npoints write(7) (kxm(i)*(10**(prop(i))),i=1,npoints) close(7)...

Homework Statement Calculate the binary equivalent of 2/3 out to eight places. Then convert from binary to decimal. How close is the result to 2/3? The attempt at a solution I new to this and I am still trying to figure this stuff out so if someone could walk me through this that...

Homework Statement Centauri A and Centauri B are binary stars with a separation of 3.45x10^12m and a period of 2.52x10^9s Assuming the two stars are equally massive (which is approximately the case), determine their mass. Homework Equations ( m1 + m2 ) P^2 = ( d1 + d2 )^3 = R^3...

I am trying trying to convert a from octal to hex and hex to octal without using binary/dec transform using repeated divison... Logically I thought I could use the hex base in octal for repeat division which is 20 oct Example of problem I am trying to solve, Convert 326 octal to hex (ans...

Where can I get some data for Binary Star system? Thanks in Advance