Represent each of the following numbers as normalizedbase 2 floating-point numbers using 4digits to represent the fractional part of the mantissa;that is, represent the numbers in the form±(1.b1b2b3b4)2 × 2k.; 21

Q: If 6 decimal digits only are allowed, then the chopped representation of the number 0.123456789 is…

A: Here the number is given as 0.123456789 We need till 6 decimal places If the 7th decimal place is…

Q: Find the three-digit positive integer abe whose representation in base nine is bca nine, where a, b,…

A: Given a three digit positive integer a b c, whose representation in base nine is b c a nine. Where…

Q: Use the binomial theorem to find the values of the following V1.001 , correct to six places of…

A: We know that , ( 1 + x )n  = 1 + n x + ( n ( n - 1 )/ 2)x2 + ......

Q: How many perfect squares are there between 1,000,000 and 9,000,000?

A:

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth.…

A: topic - logarithmic functions

Q: Find the number of positive integers X smaller than 12849 which have exactly 2022 positive divisors

A: Theory : Total no of divisor of a number, If its prime factorization, given by ∏i=1hpiai Where p is…

Q: The ISBN-10 0-669-03925-4 is the result of a transposition of twoadjacent digits not involving the…

A:

Q: b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in…

A: We have given that  95% confidence interval then alpha=0.05 Margin of error=E=0.04 Zc=1.96 at…

Q: Use the Fermat's Theorem to determine the last digit of 12347865435 when divided by 11

A:

Q: Prove the formula for the sum of the first positive integers:

A:

Q: a) Find the population after 7 years. (Round to the nearest integer as nee

A:

Q: Use Regula-Falsi to compute √7 with Ea ≤ 0.00001

A:

Q: Find the number of ways a 5-digit positive integer can be made such that in each of them every digit…

A:

Q: Characterize the primes p for which 63 is a quadratic residue.

A: Quadractic residue: Let p  be any odd prime number and gcd(a,p)=1. Then a is said to be a quadratic…

Q: Compute C7,5. (Enter an exact number.)

A: We know that Combination formula: Cn,r = C(n,r) = nCr = n!/(n-r)!r!

Q: Find all the primitive roots modulo 125.

A:

Q: i need the last one, thank you

A:

Q: Find the remainder of 1111^2222+2222^3333+3333^4444+4444^5555 modulo 17

A: We have to find the remainder of 11112222+22223333+33334444+4444555517 Firstly we take 1111222217 if…

Q: Find the sum of the positive even integers up to and including 50.

A:

Q: Find the last 3 decimal digits of 712345 via a simplification which is aided by Fermat's Little…

A:

Q: There exist two prime numbers and such that their product gives 1261

A: We have to find two prime numbers whose product gives the required number

Q: If nCr = 65536 determine the value of n.

A: Four basic operations defined on numbers are addition, subtraction, multiplication, and division. If…

Q: Find a counterexample to disprove the conjecture that the name of every month in English contains…

A: The name of every month in English contains either the letter y or the letter r.

Q: Represent each of the following numbers as normalizedbase 2 floating-point numbers using 4digits to…

A: Given, the number is 3/8, we have to represent the number as normalised base 2 floating-point number…

Q: Use the formula to compute In(1.11) correct to five decimal places. In(1 – x) = - x" n = 1 In(1.11)…

A:

Q: Show that the weighted arithmetic mean of first 'n' natural numbers whose weight are equal to the…

A:

Q: Estimate the absolute error in storing a quantity V = 804.03 on a computer using double precision…

A: Solution:- Relative error: Relative error = absolute error/ Real value for example: In a measurement…

Q: Which one of these is valid UPC number?

A:

Q: Find how many positive integers with exactly four decimal digits, that is, positive integers between…

A: Note : According to our guidelines we can solve only first three subparts and rest can be…

Q: What are the last three binary digits of 526371?

A: In these type of questions there are patter search for the patter you will get your answer. Follow…

Q: Assume that all four-digit integers (numbers from and including 1000 to and including 9999) are…

A:

Q: Consider all numbers between 20000 and 70000. Efficiently determine: A) How many of these numbers…

A: Part A - Let’s represent the number as ABCDE. You have to considere the special cases first, since…

Q: 5. Invent a positive integer a that has at least 8 decimal digits and a ones digit of 7. Estimate…

A:

Q: Prove that the number in between twin primes is always a multiple of 6.

A: A Twin prime are those numbers which are prime and having a difference of two ( 2 ) between the two…

Q: b. Assume prior studies have shown that about 40% of full-time students earn bachelor's degrees in…

A: It is given that margin of error (E) is 0.05 and the confidence level is 0.90.

Q: Find the sum of the first five natural even numbers using sigma notation.

A: We have to find sun of first 5 even natural numbers.

Q: Compute P9,2. (Enter an exact number.)

A:

Q: Is the following representation of a Mayan Long Count number unique? O ves ONo 19. - Convert 742 to…

A: Since you have asked multiple questions,we will solve the first question for you.If you want any…

Q: 2. Use Fermat's Little Theorem, or its corollary, to find the units digit of 72018 + 112019 + 132020…

A:

Q: How many positive integers between 100 and 999 inclusive a) are divisible by 7? b) are odd? c)…

A:

Q: Show that in any collection of 7 or more natural numbers there are ALWAYS TWO numbers whose sum or…

A: In the given problem we have to show that in any collection of 7 or more natural numbers there are…

Q: How many Gaussian integers have norm 3² . 52. 72 . 294? Try to count them without doing a lot of…

A: To determine how many Gaussian integers have norm 32·52·72·292 Let α=a+ib be an arbitrary Gaussian…

Q: The following bit pattern represents a floating point number in IEEE 754 single precision format: 1…

A: It is given that, The following bit pattern represents a floating point number in IEEE 754 single…

Q: Consider the following group of numbers. 3 -7, v9, 16 5, 3.14159265. , 0, V14, 6 List the real…

A: The real numbers are those numbers that consists of all the numbers that can make up the real number…

Q: show that for every positive integer n there is a prime whose decimal expansion contains n…

A: so we have to prove , for every positive integer n there is a prime whose decimal expansion contains…

Q: In each of the following you are given a bit sequencecorresponding to the IEEE single…

A: Here the 1 is the first bit, hence the resultant number will be negative. Examine the next 8 bits to…

Q: Find the sum and product of each of these pairs of numbers (20CBA)16 , (A01)16- Express your answers…

A:

Q: What is the smallest positive integer x in the equarion: 1=3x+2(mod 7)?

A: We have to solve the equation 1 = 3x + 2 (mod 7)⇒1 - 2 - 3x = 0 (mod 7)⇒-1 - 3x = 0 (mod 7)⇒3x = - 1…

Q: use the "successive squaring" method to check 'by hand and modest calculator' that a^48610 == 1 (mod…

A: Fermat's little theorem says, If n is a prime number, and a is not divisible by n, thenan-1≡1mod n.…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.