How to convert decimal number to binary number or convert base 10 into base 2 number?

Summary

This video explains the process of converting numbers from base 10 (decimal) to base 2 (binary) system. It demonstrates the method with two examples: 99 and 152, walking through the steps of division by two and recording remainders.

Highlights

Introduction to Base 10 to Base 2 Conversion00:00:00

The video begins by stating its purpose: converting numbers from the decimal system (base 10) to the binary system (base 2). This is a reversal of previous videos where base 2 was converted to base 10.

Example 1: Converting 99 to Binary00:00:18

The first example demonstrates converting the number 99. The method involves repeatedly dividing the number by 2 and recording the remainder (either 0 or 1). This process continues until the quotient reaches 1. For 99, the sequence of remainders from bottom to top forms the binary number.

Example 2: Converting 152 to Binary00:01:56

The second example illustrates converting the number 152. The same division and remainder recording process is applied. The video shows step-by-step how to divide by 2, identifying whether there is a remainder of 0 or 1, and continuing until the quotient is 1. Reading the remainders upwards provides the binary equivalent.

Conclusion and Call to Action00:02:59

The video concludes by thanking viewers and encourages them to subscribe to the channel 'algebra star' or visit 'algebraStar.com' for more content.