Multiply 2 Numbers of Different Base & represent Product in another Given Ba...

<p>Here in this video, we will see, a <strong>C++ program to multiply 2 numbers of different bases and represent the product in another given base</strong>. <br><br>For that, we take a string of characters representing a positive integer in one base and return a string representing that same number in the other base. <br><br>Let’s say - 12 and 16, and calculate the product on different bases. <br>First, we convert input numbers into their equivalent numbers in given base 10 (decimal system), i.e. - 12 = 1, 16 = 10.<br>Now, we multiply these numbers in a given base 10 and display the result in different base 10. <br><br>In this example, we take base 10 as input and produce output in base 2. <br>To convert from any base to decimal, find the sum of all the digits of [digit*(base power)] (where powers are from 0 to [NumOfDigits-1]) in the order in which the digits are ordered. <br><br>Converting between decimals and hexadecimal involves understanding decimal system place values as well as binary systems. The hexadecimal number system (hex) functions almost exactly like both decimal and binary systems. <br>The representations help computers compress larger binary values into a form that is easy to convert between the two systems. Non-integers may be represented using negative powers, which are separated from the rest of the digits using the radix point (called a decimal point in binary systems). <br><br>Each hexadecimal number represents 4 binary digits, called nibbles, making representations of large binary numbers simpler. <br><br>Time Complexity: O(D) where D is the maximum number of digits in N, M, and product.<br>Auxiliary Space: O(1)<br><br>Multiple two numbers of different base & represent product in another given base:<br><a href="https://www.geeksforgeeks.org/multiply-two-numbers-of-different-base-and-represent-product-in-another-given-base/">https://www.geeksforgeeks.org/multiply-two-numbers-of-different-base-and-represent-product-in-another-given-base/</a></p>