Binary Definition and 603 Threads

  1. T

    What Are the Properties of Binary Relations in Sets?

    Hi, I'm struggling about with binary relations in sets. Can somebody check over and answer my questions about these sets: Given set A = {1,2,3} Provide one example each of a relation with the following properties where the cardinality of the relationship should be at least one in all...
  2. J

    Java Convert 4-Bit Binary Number to Decimal in Java

    Question: Write a program that reads a four-bit binary number from the keyboard as a string and then converts it into decimal. For example if the input is 1100 the output should be 12. Attempt: import java.util.Scanner; public class run { private static final String number = null; public...
  3. M

    Why cant a component of binary solution ever be 100%

    I need to learn and understand why a component of a binary solution cannot be 100%. This needs to be done thermodynamically with equations. I can not find much online, and i need good detail of equations and graphs. Thanks if you can solve.
  4. P

    Binary Stars energy loss calculation

    I can't seem to get any of the answers for this - please help! Two stars of equal mass M orbit a common centre. The radius of the orbit of each star is R. Assume that each of the stars has a mass equal to 1.5 solar masses (solar mass=2x10^30kg) and that the initial separation of the stars is...
  5. S

    Can We Have Lower Valued Prefixes in Binary?

    In binary can we have a value with "deci" "centi" "mili" or more lower valued prefix? i have learned that, 1 Kilo Byte = 210 byte 1 Miga byte = 220 byte . . . . 1 Yotta byte = 224 byte Now my question is, can we have a DECI, CENTI, MILI bytes? i assume the answer could be negative...
  6. J

    Any decimal number in the range 0 to 2^(n-1)can be represented in binary form

    I have read somewhere: Any decimal number in the range 0 to 2^(n-1) can be represented in binary form as an n-bit number. I suspect it's wrong. Shouldn't it rather be 0 to [(2^n)-1]? Please guide me. Thanks.
  7. J

    Is binary system the only choice for the computer?

    Hi Using the binary system for computing is a natural choice because of its two states: 0 and 1. But is this possible to use base 10, which is used in everyday matters, instead of base 2? Please remember that I'm neither a student of comp. science nor of science/math, in general. Thanks...
  8. N

    Two's Complement Binary Multiplication: Understanding Why it Works

    Homework Statement hey guys... i try to do multiplication of two's complement number. I'm using straightforward method, which give me wrong answer.. i know i can't use this method.. but.. i just want to know why.. why i can't use this method? The Attempt at a Solution 1001 x 0101 = 0101101...
  9. S

    Stability of a binary planet system

    Hello. I have a question concerning the stability of a hypothetical binary planet system. I'm sorry if this properly belongs in general astronomy instead of astrophysics, but it does concern orbital mechanics. The hypothetical system is an Earthlike planet orbiting a relatively bright K class...
  10. S

    Convert 0.E to Binary | Hexadecimal to Binary Conversion

    Homework Statement convert 0.e to binary Homework Equations The Attempt at a Solution the method the teacher taught for numbers less than zero was multiply by the desired base. then take the whole number and write it down as part of the converted number and drop it. ie 0.8*2...
  11. S

    Understanding Binary Multiplication with a 7 Segment Display: A Beginner's Guide

    Shifting up from binary URGENT! Hi, I have a project that requires me to multiply a digital input by 2 and 4. Every website I've looked at keeps telling me to "shift it up 2 bits". I know how that works theoretically, ie. adding a 0 after the binary number would be multiplying it by 2. But how...
  12. C

    Coding theory - binary symmetric channel

    Hi Let us suppose we transmit the binary digit '1'. The probability of not receiving '1' is p. Thus the probability of receiving '1' is 1-p. Suppose we send a longer code of length n. The probability of this code being received correctly is (1-p)^n. Now I don't understand this next...
  13. N

    Solving Binary Math Problems: Is it Correct?

    Homework Statement http://img593.imageshack.us/img593/3376/76384308.jpg The Attempt at a Solution i've got no problem with question a) but.. i've got couple of question in question b) my solution is.. 0111 + 1011 = 1 0010 is it correct? how am i going to verify it in...
  14. P

    Discrete Math: Binary Relations

    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?
  15. B

    How do computers store neg binary numbers?

    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...
  16. B

    Engineering Solve the Superbowl Public Works Problem with a Binary Circuit | Homework Guide

    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...
  17. C

    Calculating the Mass of a Binary Star System

    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)...
  18. P

    Algebra - Number of Nonisomorphic Binary Structures

    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...
  19. A

    Binary w/ black hole - semi-major axis?

    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...
  20. P

    What is the apparent magnitude of the binary system?

    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...
  21. R

    Modifying Average Power of Binary Signal

    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...
  22. P

    Finding the Masses of a binary star using the distance, angle and orbital period

    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...
  23. P

    How a binary system affects gravity on members?

    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...
  24. E

    Two separate barycenters of a binary system in a small closed universe?

    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...
  25. B

    Engineering Can You Create an AND Gate Using Only NAND Gates?

    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...
  26. J

    Binary Star System Homework: M1=1.24, M2=3.04, Epsilon=0.691

    Homework Statement Consider a binary star system in which the two stars have masses M1 = 1.24 solar masses and M2 = 3.04 solar masses. The period of star 1 is 142 yr. The eccentricity of star 1 is \epsilon = 0.691. Use G = 6.67259 × 10−11 Nm2/kg2, take the astronomical unit to be...
  27. J

    Help Understanding 74LS169 Binary Counter

    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.
  28. A

    Binary Divider Circuit: Learn How to Build One!

    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...
  29. J

    Solving Binary Star System Homework Problem

    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...
  30. M

    Isomorphism and Binary Structures

    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.
  31. L

    Calculate the masses of two binary stars

    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...
  32. T

    How to Convert 33.9 to Binary?

    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...
  33. J

    Prove that an improper fraction with a finite binary expansion

    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...
  34. S

    Are there two maximal solutions to this differential equation?

    Homework Statement The binary relation \mathbb{R} \times (0, \infty) which is identitical to (as I understand it) \mathbb{R} \times \mathbb{R}_{+} this is supposedly the set on which the solution of the differential equation y' = f(t,y) is defined upon. Where y' = y/t + y^2 (no...
  35. G

    Solving for a 'base' (eg binary) in a quadratic equation

    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...
  36. J

    Find and Test Primes using the Chinese Remainder Theorem and Binary Search

    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...
  37. R

    Solving Observation 4.2: Showing Every Integer Has Exactly One Binary Expansion

    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...
  38. J

    How Can Doppler Shifts Resolve Binary Star Orbital Inclination Ambiguity?

    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...
  39. S

    Prove Binary System Brighter by 3/4 Magnitude Than Single Star

    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?
  40. S

    Terminology: free algebra with binary op, constant.

    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...
  41. B

    Exctract clock information from a given binary graph

    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...
  42. M

    How Do You Interpret Binary Phase Diagrams?

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

    Trying to understand binary entropy function

    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...
  44. E

    Photon, Lagrange Point, Binary Black Hole

    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."
  45. I

    MATLAB Using matlab how to find best row/column in a binary matrix

    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...
  46. S

    Energy of a Binary System (Gravitation)

    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...
  47. O

    Setting up binary star (light density based on distance) problem

    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...
  48. B

    Binary Star Explosion: Calculating Total Energy and Period

    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...
  49. N

    How Do You Add or Remove Elements from Heaps and Binary Trees?

    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...
  50. R

    Binary numbers- how to normalize?

    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...
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