1 101101, and 101, 2. 10111102 and 102 and 112 3. 1000012

Q: 2. Solve for X, show all calculation in binary number system only ((11111000)2 X = ((1101), –…

A: First, solve the first bracket 1101 - 0010 = 1011 which is in decimal equivalent to 13-2 =11 then…

Q: What are the 8-bit two's complements for (122) and (-92)? 122 - -92 When the 8-bit two's complements…

A:

Q: How many 6-digit numbers are there where no three con- secutive digits are the same? (For values…

A:

Q: List five different natural numbers that are congruent to 8 modulo 6.

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: A North Dakota license plate has six characters: 3 digits followed by 3 letters (e.g. 123AAA). Any…

A: North Dakota license plate has 6 characters: First we will choose 3 digits: Since between 0-9 there…

Q: 3. Let n be an integer greater than 2. Explain why n! +2, n! +3, n! +4, n! + (n – 1), n! +n are all…

A: We have to explain that n!+2, n!+3,…,n!+n-1,n!+n are all composite numbers.

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

A:

Q: Develop a divisibility test that will work for 45. Then prove your divisibility test for the…

A: The objective here is to develop a divisibility test of 45.A quick observation of the multiplication…

Q: Let n be a number with 3 digits. (i.e 100sns 999) Show that if the sum of digits of n is divisible…

A:

Q: How many 4-digit numbers in the range 1000-9999 are there such that the digits are distinct? A…

A: Givennumbers range should be in 1000-9999Total no.of number in 0-9 = 10

Q: How many integers greater than 5400 and less than 10000 have both of the following properties: -…

A: To count the number of positive integers satisfying all the required properties

Q: Use Modular Arithmetic to evaluate 21850299 (mod 11). Show your steps. Hint: First find 218 (mod…

A:

Q: Fermat's theorem is not true for some prime number. Select one: O True O False

A: Fermat's theorem states that if p is a odd prime number, then for any integer a, the number ap − a…

Q: (b) Suppose you have another book whose ISBN is partially erased so that you can't read the fifth…

A: b) Given there is a book whose ISBN is partially erased so that fifth digit cannot be read. ISBN:…

Q: Consider the following expression. 60 + (-118) Find the 8-bit two's complements for each decimal. 60…

A: Given: Let us consider the given expression 60+(-118) Determine 8bit 2's complement and calculate…

Q: 2. An integern is divisible by 3 if and only if the sum of its digits is divisible by 3. (Hint: Use…

A: We will prove the given statement.

Q: Find the number of integers between 1 and 10,000, inclusive that are not divisible by 4, 5, 0r 6.

A: Number of integers between 1 to 10,000 which are not divisible by 4,5 or6

Q: What is the decimal integer 1424 in binary notation? Select one: a. 10110001110, b. 10110001111, C.…

A: We are given decimal integer 1424. we have to convert it into binary.

Q: 9. Evaluate 1110 0101 0111 1101 and interpret the result as the binary (base two) representation of…

A: Answer:-  First we have to understand ("^") what this symbol represent , so basically it represents…

Q: Find an integer between 100 and 150 divisible by 9.   How do i figure this out, I am completely…

A: A number is divisible by 9 if the sum of the digits is divisible by 9.

Q: Solve for X, show all calculation in binary number system only X = ((1110)₂-(0011)₂) (10011010)₂)…

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Q: 1.21 Theorem. Let a natural number n be expressed in base 10 as  n=akak-1...a1a0 (Note that what we…

A: We know that 10 mod 3 = 1. So,

Q: The integer with the 8-bit representation 10111010 has decimal representation -7110. Select one:…

A: Given :- 10111010 has decimal representation -7110

Q: Suppose that I have a number n in base 5. The last two digits of n are either both even, or both…

A:

Q: 5. Solve for X, show all calculation in binary number system only (1001101)2' X = ((1011), – (111)2)…

A: The given expression is: X=10112-11121001101210112+1012-112 Table for binary addition: 1+1=10…

Q: 4- The following binary numbers have a sign in the leftmost position and, if negative, are in 2s…

A: According to the question given that if the number is negative they are represented in 2's form.…

Q: Find the additive inverse and multiplicative inverse, if it exists, of the given number: 4 in modulo…

A: In the question we need to find additive inverse and multiplicative inverse if exists, of the…

Q: The digits 1, 2, 3, 4, 5, A and B are all different and nonzero. Each of the two six-digit integers…

A: So for this problem I'm attaching hand written solution.

Q: H3 a a Hexadecimal H2 C to d. 7 segment e converter Но g DP

A:

Q: den Modal marks for a grouk ni 94 students are 54. Ten students got marks between 0-

A:

Q: Find the value of the factorial. 7! 7! = (Type a whole number.)

A: In this case, we need to find the value of factorial of 7.

Q: a. Convert the decimal number 1038.3 to octal. (Truncate to 3 digits after the point if the octal…

A:

Q: D. List five different natural numbers that are congruent to 8 modulo 6. E. List five different…

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Q: Prove that 9? −1 is divisible by 8,for all n ≥ 1

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Q: Test each number for divisibility by 11 by alternately adding and subtracting the digits 1 left,…

A:

Q: 5- Let consider two (02) numbers a and b with the binary expansion a=10110011 and b= 101001 what is…

A: Since you have posted multiple questions and we can answer one question. So answered first question.

Q: 1.2. what is the decimal equivalence of binary number (101000002 the

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Q: 78 134 24 213 10. Find a number between and and plot all three numbers visibly and distinctly on a…

A: Solution is here

Q: 5) The threerdigit number is given. the sum of all taprede diffevent three digit num bers with same…

A: We have to use simple logics to solve the problem

Q: Find the GCD and LCM of the following pair of natural numbers.   459​,633

A:

Q: Please Prove whether it is True or False. The value of nª - n² is divisible by 6 for any integer…

A: To prove that whether the given statement is true or false

Q: 1. IID00, and 10, 2. 11000012 and 1102

A:

Q: Suppose that a positive number a is written in scien- tific notation as a = c × 10", where n is an…

A: To explain: What n indicates about the size a. Given: The positive number a represented as a=c×10n…

Q: What is the bit-reversed order of the numbers 0, 1, ... , 7? Write them all in binary (base 2) as…

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Q: 10001 and 11

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Q: (i7 oin 2. An integern is divisible by 3 if and only if the sum of its digits is divisible by 3.…

A: Answer of question 2 is mentioned below

Q: What are the 8-bit two's complements for (121) and (-94)? 121 -94 > When the 8-bit two's complements…

A: Please find attachment for the details solution

Q: Prime divisors of two numbers a and b are 2,3 and 5 and product of these numbers a and b is 5400.…

A: The prime factors of the two numbers are 2, 3, and 5 and the product of these two numbers is 5400.

Q: How many different orders are possible in Z*92639 (Hint: 91639 is a prime; 91638=2 . 27 . 1697).…

A: as 92639 is a prime number so Z*92639 is cyclic group of order 92638.

Q: 1.2 What is the decimal equivalence of the binary number (10100000) 2?

A: To convert a binary number system to a decimal number system, follow the procedures below. Step 1:…