kind of cryptography that is based on representing information as numbers and mathematically manipulating those numbers. This kind of cryptography can provide other services‚ such as • integrity checking—reassuring the recipient of a message that the message has not been altered since it was generated by a legitimate source • authentication—verifying someone’s (or something’s) identity But back to the traditional use of cryptography. A message in its original form is known as plaintext
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RATIONAL NUMBERS In mathematics‚ a rational number is any number that can be expressed as the quotient or fraction p/q of two integers‚ with the denominator q not equal to zero. Since q may be equal to 1‚ every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q it was thus named in 1895 byPeano after quoziente‚ Italian for "quotient". The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the
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In mathematics‚ a real number is a value that represents a quantity along a continuous line. The real numbers include all the rational numbers‚ such as the integer −5 and the fraction 4/3‚ and all the irrational numbers such as √2 (1.41421356... the square root of two‚ an irrational algebraic number) and π (3.14159265...‚ a transcendental number). Real numbers can be thought of as points on an infinitely long line called the number line or real line‚ where the points corresponding to integers are
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3 is a number‚ numeral‚ and glyph. It is the natural number following 2 and preceding 4. In mathematics Three is approximately π when doing rapid engineering guesses or estimates. The same is true if one wants a rough-and-ready estimate of e‚ which is actually approximately 2.71828. Three is the first odd prime number‚ and the second smallest prime. It is both the first Fermat prime and the first Mersenne prime‚ the only number that is both‚ as well as the first lucky prime. However‚ it is
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REAL NUMBERS Q.1 Determine the prime factorization of the number 556920. (1 Mark) (Ans) 23 x 32 x 5 x 7 x 13 x 17 Explanation : Using the Prime factorization‚ we have 556920 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 23 x 32 x 5 x 7 x 13 x 17 Q.2 Use Euclid’s division algorithm to find the HCF of 210 and 55. (1 Mark) (Ans) 5 Explanation: 5 ‚ Given integers are 210 and 55 such that 210 > 55. Applying Euclid’s division leema to 210 and 55‚ we get 210 = 55 x 3 + 45 ………
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Fibonacci number From Wikipedia‚ the free encyclopedia A tiling with squares whose side lengths are successive Fibonacci numbers An approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1‚ 1‚ 2‚ 3‚ 5‚ 8‚ 13‚ 21‚ and 34. In mathematics‚ the Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence:[1][2] 0‚\;1‚\;1‚\;2‚\;3
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Quantum Numbers Quantum Numbers The Bohr model was a one-dimensional model that used one quantum number to describe the distribution of electrons in the atom. The only information that was important was the size of the orbit‚ which was described by the n quantum number. Schrödinger’s model allowed the electron to occupy three-dimensional space. It therefore required three coordinates‚ or three quantum numbers‚ to describe the orbitals in which electrons can be found. The three coordinates that
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_____________Download from www.JbigDeaL.com Powered By © JbigDeaL____________ NUMERICAL APTITUDE QUESTIONS 1 (95.6x 910.3) ÷ 92.56256 = 9? (A) 13.14 (B) 12.96 (C) 12.43 (D) 13.34 (E) None of these 2. (4 86%of 6500) ÷ 36 =? (A) 867.8 (B) 792.31 (C) 877.5 (D) 799.83 (E) None of these 3. (12.11)2 + (?)2 = 732.2921 (A)20.2 (B) 24.2 (C)23.1 (D) 19.2 (E) None of these 4.576÷ ? x114=8208 (A)8 (B)7 (C)6 (D)9 (E) None of these 5. (1024—263—233)÷(986—764— 156) =? (A)9 (B)6
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Close reading and response to literature Number The Stars -Lois Lowry 1. What are the major themes of this book ? Difficulty of growing up The author Lois Lowry uses the context of World War II as a way of making the difficulties stand out more clearly. The novel focuses on Annemarie Johansen’s personal experiences with growing up‚ but her experiences are common to most young people. Growing up is presented as a struggle for identity. Does Annemarie belong to the world of adults or
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Digital Electronics‚ 2003 BINARY CODED DECIMAL: B.C.D. • ANOTHER METHOD TO REPRESENT DECIMAL NUMBERS • USEFUL BECAUSE MANY DIGITAL DEVICES PROCESS + DISPLAY NUMBERS IN TENS IN BCD EACH NUMBER IS DEFINED BY A BINARY CODE OF 4 BITS. *** 8 – 4 – 2 – 1 MOST COMMON CODE 8 – 4 – 2 – 1 CODE INDICATES THE WEIGHT OF EACH BIT 23 – 22 – 21 – 20 E.G. 934 = 1001 0011 0100 9 3 4 FOR EACH DIGIT A BINARY [NORMAL] CODE IS ALLOCATED. OHER REPRESENTATION FORMS ARE 2-4-2-1 AND EXCESS-3 Ovidiu Ghita Page
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