Converting Between Number Systems: A Comprehensive Lesson
A lesson on converting between number systems, covering objectives, real-life application, and exercises. Focuses on base 10 to base 2, 8, and 16.
00:00:02 A computer science lesson on converting between number systems 1. Cameroon's solution to distance learning. Adding binary numbers explained.
💻 Distance learning platform developed for secondary school students in Cameroon.
🎥 Introduction to distance learning as a new teaching method.
🔢 Example of converting numbers between number systems.
00:04:13 This video teaches how to convert between number systems. It covers objectives, knowledge needed, real-life application, and exercises. It focuses on converting from base 10 to base 2, 8, and 16. Prerequisite operations are also discussed.
This video is about converting between number systems, specifically from base 10 to base 2, base 8, and base 16.
To understand this lesson, you need to be able to identify the base of a given number, state the symbol in the given base, and determine the quotient and remainder when dividing two numbers.
In the exercises, you will state the base of given numbers, identify the digits in base 16, and determine the quotient and remainder of operations.
00:08:23 This video discusses converting between number systems, including base 16 and base 8, and performing division operations.
🔢 Converting between number systems - decimal and base 16.
🔑 Understanding the base of a number and its representation.
➗ Dividing numbers and finding quotients and remainders.
00:12:35 Converting between number systems involves dividing the base 10 number by the target base, writing down the quotient and remainder, and repeating until the quotient is zero. The remainder is then written in reverse order to obtain the converted number.
Conversion from one base to another involves dividing the base 10 number by the target base and writing down the quotient and remainder.
The process is repeated until the quotient becomes zero, and the remainders are written down from the most recent to the least.
A common method to convert from base 10 to base 2 is introduced, which follows the same process but with a specific target base.
00:16:44 This video explains how to convert decimal numbers to binary numbers using column diagrams and subtraction. Example: converting 194 base 10 to binary.
📊 Converting decimal numbers to binary can be done using a column diagram.
🔢 To convert, start from the right and raise 2 to the power of 0, then subtract each column heading from the decimal number.
⬇️ Repeat the process for each column until all columns have been calculated.
00:21:01 This video explains how to convert numbers from base 10 to base 2, 8, and 16 using the tabular method. Examples are provided.
🔢 Converting between number systems involves using the tabular method and dividing the decimal number by the base.
💡 To convert from base 10 to base 2, we write a 1 if the heading of the column is less than or equals to the decimal number and subtract the heading from the decimal number.
🧮 In base 16, digits greater than or equal to 10 are replaced with letters: A = 10, B = 11, C = 12, D = 13, E = 14, F = 15.
00:25:15 Learn how to convert numbers between different number systems and practice with exercises.
💡 Converting from base 10 to base 2: divide the number by 2 and record the remainders.
💡 Converting from base 10 to base 8: divide the number by 8 and record the remainders.
💡 Converting from base 10 to base 16: use the tabular method to determine the values.
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