Binary Definition and 569 Threads

  1. V

    RCHow can a digital circuit perform sine wave integration using TTL chips?

    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...
  2. B

    Closure under * for subset H of commutative elements in set S

    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...
  3. P

    Binary transitions, power consumption

    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...
  4. L

    Converting Between Binary, Hex, Octal, and Decimal

    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?
  5. F

    358 in binary single floating point using excess 4

    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...
  6. F

    Why is 1000 = -8 in signed 4-bit binary?

    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...
  7. Astronuc

    What Caused the Ejection of Mu Columbae and AE Aurigae from Orion?

    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'...
  8. S

    Binary Star system common period

    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...
  9. V

    Find Apparent Magnitude of Binary Star System w/o Distance

    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.
  10. U

    What are all the possible 5-digit binary code combinations?

    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...
  11. K

    Astrophysics: Finding the mass of a hidden star in a binary system

    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 =...
  12. K

    Determining the masses of 2 stars in a binary system.

    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...
  13. James889

    Question about binary counter with jk flip-flops

    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...
  14. H

    Transitive Closure of Binary Relation T on A={0,1,2,3}

    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...
  15. M

    Is binary divisibility by 3 determined by even and odd bit count?

    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
  16. Z

    How Are the Masses of Binary Stars Calculated?

    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...
  17. F

    Binary star system distance between stars

    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 =...
  18. N

    Binary to hex conversion proof

    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...
  19. L

    Binary star system ratio of force

    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...
  20. X

    How do I convert signed decimal to binary

    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...
  21. C

    Using 2x 74LS47 to input binary 0-15

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

    In a binary mixture, when is one flow negligable?

    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...
  23. C

    Proving Binary Tree Properties: 2^(h-1) Leaf Nodes & 2^(h-1) - 1 Internal Nodes

    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...
  24. J

    Testing Group Properties on Q with Binary Operation *

    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...
  25. J

    Group (Associativity of Binary Operators)

    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...
  26. M

    Help with Binary Relations Homework

    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...
  27. Q

    Binary converter (supports IEEE754)

    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...
  28. E

    Find inverse function of binary entropy

    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...
  29. B

    Doing binary arithmetic in Windows Calculator and

    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...
  30. Q

    Can Planets Be Juggled Between Binary Stars?

    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...
  31. R

    Obtain Binary String: X + Y - Z | Binary Addition and Subtraction Rules

    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...
  32. R

    Representing Sets in binary string?

    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
  33. S

    Calculating Center of Mass in Binary Systems

    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...
  34. M

    Please help - Binary Relations driving me utterly insane

    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...
  35. hxtasy

    Need a cheap binary AM transmitting circuit

    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...
  36. S

    C/C++ Find Nearest Record in Binary Search Tree | C++ Implementation

    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 =...
  37. K

    Hexa to Decimal Conversion, Binary to Decimal Conversion?

    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...
  38. Y

    Problem about binary star system

    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...
  39. F

    Comp Sci How Can I Modify a C++ BST Implementation to Check for Duplicate Values?

    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...
  40. V

    Calculate the Masses of two binary stars

    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...
  41. S

    Adding Binary Fractions: A Simple Guide to Calculating and Understanding Results

    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 =)
  42. Z

    Inverse (LS) problem for binary data

    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...
  43. K

    Newton's 3rd Law applied to binary stars

    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...
  44. M

    How can Binary Relations on a Set with 3 Elements be Symmetric and Reflexive?

    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...
  45. R

    Binary Stars: Equal Mass, 350 Million km Separation, 5.4 Earth Years Orbit".

    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?
  46. J

    Converting Equations to Binary & Irrational Numbers

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

    Odd-Numbered Binary Inputs & XOR Gates

    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.
  48. H

    Abstract algebra / binary operation

    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...
  49. I

    C/C++ C++ Binary Search Help - Find #23

    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
  50. O

    Determining Thermal Coefficient of Binary Solvent Mixture

    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...
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