
Explore how number systems represent values in computer memory, compare decimal, binary, and hexadecimal, and learn how to convert values between systems.
Learn the decimal number system (base 10) with digits 0–9 and place values units to thousands, and master two representation methods: positional expansion and division-remainder conversion.
Explore the binary number system, where each position represents a power of two, and learn how to convert decimal numbers to binary by repeated division by two and recording remainders.
Explore the octal number system, which uses digits zero to seven and base eight, and how to convert twenty-five to octal by division and reversing remainders to 31.
Explore the hexadecimal number system, including base 16, the digits 0–9 and letters A–F, and how to convert a decimal 14 to hexadecimal as E.
Convert decimal 45 to hexadecimal by dividing by 16 and noting the remainders. Read the remainders in reverse, with 13 mapped to d, giving 2d as the hexadecimal value.
Learn to convert a decimal value to binary by repeatedly dividing by two, recording remainders, and reversing the sequence to obtain the final binary representation.
Convert decimal to binary using division by two, tracking remainders to build the binary number; apply the even/odd rule to the example 15.
Discover how to convert binary to decimal by calculating each digit, applying powers of two, and summing to get the decimal result, with 1 0 0 1 0 = 18.
Convert binary to decimal by multiplying each bit by the corresponding power of two and summing the results, illustrating that 10001 base two equals 17 in decimal.
Demonstrates converting decimal 91 to octal 133 by repeatedly dividing by eight, recording remainders, and reading them in reverse to obtain the octal representation.
Learn to convert octal values to decimal using base eight positional notation. Multiply each digit by eight to the power of its position and sum.
Learn to convert decimal numbers to hexadecimal by dividing by 16, recording the remainder, and translating remainders 10–15 to a–f, as illustrated by converting 78 decimal to 4e hex.
I made this course as my first course at Udemy, It is a free course on number systems, expressing the values in each number system and converting values between them. This course does not required any pre-knowledge, even a laptop or PC. You can study any lecture in this course just with a paper and pencil, but you need to solve many examples on each topic in this course. I made many examples and questions to solve and I hope these are enough to understand number systems. I am also ready for any question from students.
I chose the number systems course as an Introduction about IT articles, and also an introduction to the new courses I will made which will be about programming and operation systems.
I know that many students that will watch this course will say 'Your pronunciation is bad', but, in these lectures I focused on the content and the information more than pronunciation.
I will listen to any criticize from students on the content and even pronunciation, in order to have a better courses later which will be on other and different topics.
After all I would like from students to tell me if my way of explanation is good for later courses ?