[5.2] Consider the multiplication hardware below Multiplicand 64-bit ALU Product 64 bits Shift left 64 bits Write Multiplier Shift right 32 bits Control test a. Both Multiplier and Multiplicand are unsigned integers representations. Find the six-bit binary representation of a Multiplicand which is 22ten and a Multiplier which is 4ten. b. Write the step-by-step Multiplication operation in a table with the header: Step, Multiplier, Multiplicand Product One tion Show the contents of each register at each stan

[5.2] Consider the multiplication hardware below Multiplicand 64-bit ALU Product 64 bits Shift left 64 bits Write Multiplier Shift right 32 bits Control test a. Both Multiplier and Multiplicand are unsigned integers representations. Find the six-bit binary representation of a Multiplicand which is 22ten and a Multiplier which is 4ten. b. Write the step-by-step Multiplication operation in a table with the header: Step, Multiplier, Multiplicand Product One tion Show the contents of each register at each stan

Name: [5.2] Consider the multiplication hardware belowMultiplicand64-bit AL
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Description: [5.2] Consider the multiplication hardware belowMultiplicand64-bit ALUProduct64 bits64 bitsWrite32-bit ALUShift lefta. Both Multiplier and Multiplicand are unsigned integers representations. Find the six-bitbinary representation of a Multiplicand wh

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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Consider a new floating point representation, which we will call here the CMPT215Float16 representation. The CMPT215Float16 representation follows the IEEE 754 binary floating point standard, but with smaller-sized fields for the exponent and fraction. In particular, CMPT215Float16 numbers have a 1-bit sign field, followed by a 7-bit exponent field (in biased notation, with a bias of only 63 because of the smaller size of this field), followed by an 8-bit fraction field. Give, in decimal, the quantity represented by the following CMPT215Float16 floating point value: 0100001110100000.
Suppose, binary representations of random pattern are stored in AL and BL register of microprocessor 8086. Write a generalized ASM code to check the binary representation stored in AL and BL for adjacent numbers. If the binary representations are adjacent to each other, store 01 H in DL register, otherwise store 00 H. For instance, AL = 02 H and BL = 06 H will store 01 H in DL register. Adjacent: If two representations are one-bit change away from each other, they will be classified as adjacent to each other.
The 32-bit RISC-V base integer instruction set (rv32i) does not support multiplication and division operations. To deal with this, a compiler may call a function when a multiplication is needed. For example, gcc expects that a function - mulsi3(unsigned int a, unsigned int b) is provided to multiply two integers. A multiplication can be carried out by repeated additions and shifts: unsigned int -_mulsi3 (unsigned int a, unsigned int b) { unsigned int r = 0; while (a) { if (a & 1) { r += b; } a >>= 1; b <<= 1; } return r; } a) Translate the above C code into equivalent RISC-V rv32i assembler code. Comment the as- sembler code to explain how the calculation proceeds. Note that the arguments are passed via the registers a0 (x10) and a1 (x11) and that the result is returned in a0 (x10). b) Does the function need function call prolog and epilog? Explain why or why not. You are invited to use emulsiV to develop and test your assembler code.
In an RISC V (32-bit) microprocessor, if a0 is preloaded with data of Ox0000_1F75 and al is preloaded with data of Ox0000_32CB, then what are the values of s0 (in Hex) after each of the following logical operations (in sequence)? xor s0, a0, al xori s0, s0, 0XFFFF slli s0, s0, 16
In computer programming, a bitwise operation operates on a bit string, a bit array or a binary numeral (considered as a bit string) at the level of its individual bits. It is a fast and simple action, basic to the higher-level arithmetic operations and directly supported by the processor. Most bitwise operations are presented as two-operand instructions where the result replaces one of the input operands. John got a vacant wizardry lattice of size NxN on his anniversary. The framework must be loaded up with positive numbers to such an extent that the bitwise XOR of all numbers from any line, any segment, or any of the two principle diagonals should be generally something similar! Would you be able to assist John with filling this lattice utilizing just sure numbers below than 100000000? NOTE: Advance programming problem
Suppose bıs b14 bi3.ba b2 bı bo is a binary representation of random 16 bits. Write a generalized ASM code in microprocessor 8086 to evaluate the following expression: (.... (MN H)2 + bıs)2+ bı3)2+ b11)2+ bý)2+... +b3)2+ b3)2+ bi, Where M and N are higher and lower nibbles respectively.
3 Counting k-inversions A k-inversion in a bitstring b is when a 1 in the bitstring appears k indices before a 0; that is, when b; = 1 and bi+k = 0, for some i. For example, the string 010010 has two 1-inversions (starting at the second and fifth bits), one 2-inversion (starting at the second bit), and one 4-inversion (starting at the second bit). Devise an algorithm which, given a bitstring b of length n, counts all the k-inversions, for each k from 1 to n - 1. Your algorithm should run faster than (n²) time. You can assume arithmetic on real numbers can be done in constant time. Give a 3-part solution.
An integer array [41,11,121,163] is stored in memory. Each integer has 32 bits. Suppose the first byte of the array data has a hexadecimal address of F8D4A0C8, and the content of the $s4 register is also F8D4A0C8 in hexadecimal. List the integer values in decimal in the array starting with element 0, after the following MIPS code is executed. Separated them by comma, for example, 11,22,33,44. lw $t5, 0($s4) lw $t4, 12($s4) add $t4, $t5, $t4 Sw $t4, 0($s4) Answer:
4. You are drawing an octahedron (6 vertices, 8 triangles) and are considering whether to use an indexed polygon representation or a triangle-based representation. Assuming coordinates for vertices are given as 4 floatin point values and the indexes for polygons are given as 2-byte unsigned short values, how many bytes will each storage option take? Which is smaller? Note: you do not need to give either representation-only determine the amount of storage the representation would require.
Consider two integer arrays B and D of 100 elements. Let X2 and X3 contain the base address of array "B" and "D", respectively, and the index į is in X0, h is in X10. Write LEGV8 code to perform the following operations: (a) Get B[15] from memory and put it in register X5. (b) Put the value 132 in D[6]. (c) Translate the following C code into LEGv8 instructions int j = 50, h; do { D[2*j] = (B[j] + B[j+2])*9 - h; j^j -2; while {j >0}; DO NOT use multiply instruction in your code, use shift instruction for multiplication instead! (d)How many instructions are executed during the running of the code in (c), and how many memory data references are made during executio'n?
Q5. Array A contains 128 entries, each of which is a 32-bit integer. The address of A[0] is stored in Register#3 (R[3]). How do you move A[55] into Register#4 (R[4])?
Show Steps Please 5. Compute the Hamming distance of the following code: 0011010010111100 0000011110001111 0010010110101101 0001011010011110 6. Suppose we are given the following subset of codewords, created for a 7-bit memory word with one parity bit: 11100110, 00001000, 10101011, and 11111110. Does this code use even or odd parity? Explain. 7. Given that the ASCII code for A is 1000001, what is the ASCII code for J? b. Given that the EBCDIC code for A is 1100 0001, what is the EBCDIC code for J? 8. Decode the following ASCII message, assuming 7-bit ASCII characters and no parity: 1001010 1001111 1001000 1001110 0100000 1000100 1001111 1000101