The Babylonian algorithm to compute the square root of a positive number n is asfollows:1. Make a guess at the answer (you can pick n/2 as your initial guess).2. Compute r = n / guess3. Set guess = (guess +r)/ 24. Go back to step 2 for as many iterations as necessary. The more you repeat steps2 and 3, the closer guess will become to the square root of n. Write a program that inputs a double for n, iterates through the Babylonian algo-rithm five times, and outputs the answer as a double to two decimal places. Your answer will be most accurate for small values of n.
The Babylonian algorithm to compute the square root of a positive number n is asfollows:1. Make a guess at the answer (you can pick n/2 as your initial guess).2. Compute r = n / guess3. Set guess = (guess +r)/ 24. Go back to step 2 for as many iterations as necessary. The more you repeat steps2 and 3, the closer guess will become to the square root of n. Write a program that inputs a double for n, iterates through the Babylonian algo-rithm five times, and outputs the answer as a double to two decimal places. Your answer will be most accurate for small values of n.
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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Question
The Babylonian
follows:
1. Make a guess at the answer (you can pick n/2 as your initial guess).
2. Compute r = n / guess
3. Set guess = (guess +r)/ 2
4. Go back to step 2 for as many iterations as necessary. The more you repeat steps
2 and 3, the closer guess will become to the square root of n.
Write a
rithm five times, and outputs the answer as a double to two decimal places. Your
answer will be most accurate for small values of n.
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