Problem F. 73154. Trailing zeros Input file: Output file: Time limit: Memory limit: standard input standard output 1 second 256 megabytes In this problem, you are given 8-bit number r. Find the number of trailing zeros in its binary representation. Trailing zeros are the ones that we encounter until the first 1-bit if we traverse the binary representation from right to left. For example, the binary representation of the number 96 is 01100000. Number of 0-bits until the first 1-bit is 5 (considering that we traverse the binary representation from right to left). Input The first line of input contains a single mumber r – 8-bit number (1

Problem F. 73154. Trailing zeros Input file: Output file: Time limit: Memory limit: standard input standard output 1 second 256 megabytes In this problem, you are given 8-bit number r. Find the number of trailing zeros in its binary representation. Trailing zeros are the ones that we encounter until the first 1-bit if we traverse the binary representation from right to left. For example, the binary representation of the number 96 is 01100000. Number of 0-bits until the first 1-bit is 5 (considering that we traverse the binary representation from right to left). Input The first line of input contains a single mumber r – 8-bit number (1

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Write the function int count101(int n) that counts the number of occurrences of the bit pattern 101 in n. It should return the final count. Variable n is 32 bits. Example: Suppose n is just 8 bits, say n=11010101, then the function would return 3.
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(2) {w = {0, 1]* : w corresponds to the binary encoding, without leading O's, of natural numbers that are powers of 4} Testing strings: €, 0, 1, 01, 10, 11, 100, 101, 1000, 1010, 10000 The accepted strings are: L [ E 01 11 100 101 1000 1010 10000
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[4.1] Consider the number -1.36875 x 10¹ as the dividend and 5.625 x 10¹ as the divisor. a. Find their binary representation. b. Normalize the results that you got it in (A) and put them in the 8-bit quarter- precision format (1 for sign bit, 2 for exponent, and 5 for fraction). c. Implement the division and show all the steps of the division to results that you got it in (B). Show if there is an overflow or underflow by assuming that there is a guard bit, a round bit, and a sticky bit.
Using Hamming(7.4) 1. Check if code 1101001 has errors and if so, indicate the position of the error and correct it, otherwise specify that it does not. 2. Check if the code 0011100 has errors and if so, indicate in which position the error is and correct it, otherwise specify that it does not have it
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14. For this question, mark all answers that apply. Assuming that i, j, and k are all 32-bit int and a, b, and c are all normal 32-bit float, and that no values go out of range, which of the following must be true? a* (b*c) = (a*b)*c If a>0 and b>0, then (a+b) >a i+(j+k) i*(j*k) (i+j)+k == == == (i+j)+k (i*j)*k k+(j+i)
Example: Assuming m-7 bits and using three of those bits for representing the fractional part, ( 1100.000 )2 ( 0110.000 )2 ( 0011.000 )2 ( 0001.100 )2 ( 0000.110 )2 ( 0000.011 )2 (12)10 %3D (12)10 / 2 (6)10 (6)10 /2 (3)10 (3)10 /2 (1.5)10 (1.5)10 / 2 (0.75)10 (0.75)10 / 2 (0.375)10 In this case, each successive division by two has shifted the binary sequence to the right by one bit.
In a certain computer program, two positive integers are added together, resulting in an overflow error. Which of the following best explains why the error occurs? A) The program attempted to perform an operation that is considered an undecidable problem. B) The precision of the result is limited due to the constraints of using a floating-point representation. C) The program can only use a fixed number of bits to represent integers; the computed sum is greater than the maximum representable value. D) The program cannot represent integers; the integers are converted into decimal approximations, leading to rounding errors.
choose the correct answer.
2. Constrained by the size of the register in your old personal computer at home, youdecide to build a computer with a larger floating point register called R. Five octitscan be represented in R. You decide on the following format for the representation offloating point numbers:R: sign characteristic mantissaYou have available a 1 octit characteristic and a 3 octit mantissa.(b) Write the following decimal numbers as they would be represented in R: (i) 9.25 (ii) -3.5