Let n = 6 be the number of bits used to represent an integer. (a) (4pts)...
Let n = 6 be the
number of bits used to represent an integer.
(a) (4pts) What is the range of integers that can be represented
in
• UBI?
• 1CF?
• 2CF?
• SMF?
(b) (8pts) Make a table that lists all negative numbers in 1CF, 2CF and SMF
Homework Answers
B)
Add Answer to:
Let n = 6 be the
number of bits used to represent an integer.
(a) (4pts)...
Given n bits, how many unsigned integers can be represented with the n bits? What is...
Given n bits, how many unsigned integers can be represented with the n bits? What is the range of these integers? (6 points) There are 26 characters in the alphabet we use for writing English. What is the least number of bits needed to give each character a unique bit pattern? How many bits would we need to distinguish between upper- and lowercase versions of all 26 characters? (12 points)
1. (Integers: primes, divisibility, parity.) (a) Let n be a positive integer. Prove that two numbers...
1. (Integers: primes, divisibility, parity.) (a) Let n be a positive integer. Prove that two numbers na +3n+6 and n2 + 2n +7 cannot be prime at the same time. (b) Find 15261527863698656776712345678%5 without using a calculator. (c) Let a be an integer number. Suppose a%2 = 1. Find all possible values of (4a +1)%6. 2. (Integers: %, =) (a) Suppose a, b, n are integer numbers and n > 0. Prove that (a+b)%n = (a%n +B%n)%n. (b) Let a,...
1.8 (1 marks) A computer has a word length of 8 bits (including sign). If 2’s...
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Ok = (6) Let n be a positive integer. For every integer k, define the 2...
Ok = (6) Let n be a positive integer. For every integer k, define the 2 x 2 matrix cos(27k/n) - sin(2nk/n) sin(2tk/n) cos(27 k/n) (a) Prove that go = I, that ok + oe for 0 < k < l< n - 1, and that Ok = Okun for all integers k. (b) Let o = 01. Prove that ok ok for all integers k. (c) Prove that {1,0,0%,...,ON-1} is a finite abelian group of order n.
2. Let n be a positive integer. Denote the number of positive integers less than n and rela- tive...
number thoery
just need 2 answered
2. Let n be a positive integer. Denote the number of positive integers less than n and rela- tively prime to n by p(n). Let a, b be positive integers such that ged(a,n) god(b,n)-1 Consider the set s, = {(a), (ba), (ba), ) (see Prollern 1). Let s-A]. Show that slp(n). 1. Let a, b, c, and n be positive integers such that gcd(a, n) = gcd(b, n) = gcd(c, n) = 1 If...
Question 6 (1 point) Let a be an array, let N be the number of elment...
Question 6 (1 point) Let a be an array, let N be the number of elment used in the array. For the given set of code below, what does the output represent? int sum = 0; for (int i = 0; i < N;i++) if (a[i] > 0) sum = sum + 1; textBox1.text = " + sum; Execution of code with nothing being printed in textBox1. Execution of code with printing all numbers Execution of code with counting the...
I randomly pick two integers from 1 to n without replacement (n a positive integer). Let...
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P.2. Division Write a C program to input an integer n. Then the program asks users...
P.2. Division Write a C program to input an integer n. Then the program asks users to input n integers. Calculate the sum of all non negative integers and the division of this with every negative integer in the sequence. p3 Write a C program to print all 3-digit abc numbers, satisfying: (a+b+c)=(a.b.c). Example: 3-digit 123 number fulfills requirement as (1+2+3)=1.2.3
Complete count_bits function. You are given an 32-bits integer stored in $t0. Count the number of...
Complete count_bits function. You are given an 32-bits integer stored in $t0. Count the number of 1's in the given number. For example: 1111 0000 should return 4 j main ############################################################### # Data Section .data # new_line: .asciiz "\n" space: .asciiz " " double_range_lbl: .asciiz "\nDouble range (Decimal Values) \nExpected output:\n1200 -690 104\nObtained output:\n" swap_bits_lbl: .asciiz "\nSwap bits (Hexadecimal Values)\nExpected output:\n75757575 FD5775DF 064B9A83\nObtained output:\n" count_bits_lbl: .asciiz "\nCount bits \nExpected output:\n20 24 13\nObtained output:\n" swap_bits_test_data: .word 0xBABABABA, 0xFEABBAEF, 0x09876543 swap_bits_expected_data: .word...
Q18 12 Points For any positive integer n, let bn denote the number of n-digit positive...
Q18 12 Points For any positive integer n, let bn denote the number of n-digit positive integers whose digits are all 1 or 2, and have no two consecutive digits of 1. For example, for n - 3, 121 is one such integer, but 211 is not, since it has two consecutive 1 's at the end. Find a recursive formula for the sequence {bn}. You have to fully prove your answer.
1. (Integers: primes, divisibility, parity.) (a) Let n be a positive integer. Prove that two numbers na +3n+6 and n2 + 2n +7 cannot be prime at the same time. (b) Find 15261527863698656776712345678%5 without using a calculator. (c) Let a be an integer number. Suppose a%2 = 1. Find all possible values of (4a +1)%6. 2. (Integers: %, =) (a) Suppose a, b, n are integer numbers and n > 0. Prove that (a+b)%n = (a%n +B%n)%n. (b) Let a,...
Ok = (6) Let n be a positive integer. For every integer k, define the 2 x 2 matrix cos(27k/n) - sin(2nk/n) sin(2tk/n) cos(27 k/n) (a) Prove that go = I, that ok + oe for 0 < k < l< n - 1, and that Ok = Okun for all integers k. (b) Let o = 01. Prove that ok ok for all integers k. (c) Prove that {1,0,0%,...,ON-1} is a finite abelian group of order n.
number thoery
just need 2 answered
2. Let n be a positive integer. Denote the number of positive integers less than n and rela- tively prime to n by p(n). Let a, b be positive integers such that ged(a,n) god(b,n)-1 Consider the set s, = {(a), (ba), (ba), ) (see Prollern 1). Let s-A]. Show that slp(n). 1. Let a, b, c, and n be positive integers such that gcd(a, n) = gcd(b, n) = gcd(c, n) = 1 If...
Question 6 (1 point) Let a be an array, let N be the number of elment used in the array. For the given set of code below, what does the output represent? int sum = 0; for (int i = 0; i < N;i++) if (a[i] > 0) sum = sum + 1; textBox1.text = " + sum; Execution of code with nothing being printed in textBox1. Execution of code with printing all numbers Execution of code with counting the...
Q18 12 Points For any positive integer n, let bn denote the number of n-digit positive integers whose digits are all 1 or 2, and have no two consecutive digits of 1. For example, for n - 3, 121 is one such integer, but 211 is not, since it has two consecutive 1 's at the end. Find a recursive formula for the sequence {bn}. You have to fully prove your answer.
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