Tutorial Lengkap: Cara Konversi Bilangan Desimal ke Biner, Oktal dan Hexadesimal

Summary

This video explains the importance of number systems in computing, focusing on decimal, binary, octal, and hexadecimal bases. It details how to convert decimal numbers into binary, octal, and hexadecimal through both manual division methods and using a calculator. The script provides clear examples of each conversion process, such as converting decimal 25 to binary 11001, decimal 385 to octal 601, and decimal 1583 to hexadecimal 62F. The video emphasizes the use of division and remainders for conversions, helping viewers understand the fundamental principles behind number systems and their application in computing.

Takeaways

• 😀 Decimal number system (base 10) is the most commonly used number system in daily human life, consisting of digits 0-9.
• 😀 Binary number system (base 2) uses only two digits: 0 and 1, and is fundamental in computing.
• 😀 Octal number system (base 8) consists of 8 digits: 0-7, and is used in certain computing applications.
• 😀 Hexadecimal number system (base 16) uses 16 digits: 0-9 and A-F, with A-F representing 10-15 respectively.
• 😀 To convert decimal to binary, divide the decimal number by 2 repeatedly and record the remainders.
• 😀 Example: Decimal 25 converted to binary is 11001 by dividing by 2 until the result is 0.
• 😀 To convert decimal to octal, divide the decimal number by 8 and record the remainders.
• 😀 Example: Decimal 385 converted to octal is 601, using division by 8 until the result is 0.
• 😀 To convert decimal to hexadecimal, divide the decimal number by 16 and record the remainders.
• 😀 Example: Decimal 1583 converted to hexadecimal is 62F, following division by 16 until the result is 0.
• 😀 Conversion between number systems can be quickly done using a calculator, such as the Windows calculator set to 'Programmer' mode.

Q & A

What are the four types of number systems discussed in the transcript?

The four types of number systems discussed are decimal, binary, octal, and hexadecimal.

What is the base of the decimal number system?

The base of the decimal number system is 10, and it uses digits 0 through 9.

How many digits does the binary number system use, and what are they?

The binary number system uses two digits: 0 and 1.

What is the base of the octal number system, and which digits does it use?

The base of the octal number system is 8, and it uses digits from 0 to 7.

What does the hexadecimal number system use for digits above 9?

The hexadecimal number system uses the letters A to F for values 10 to 15, where A represents 10, B represents 11, and so on up to F, which represents 15.

How can you quickly convert a decimal number to binary using a calculator?

To convert a decimal number to binary using a calculator, switch to the 'Programmer' mode, input the decimal number, and select the binary option to see the conversion result.

What is the process for manually converting a decimal number to binary?

To manually convert a decimal number to binary, repeatedly divide the decimal number by 2, recording the remainder each time. The binary equivalent is obtained by reading the remainders from bottom to top.

What is the method for converting a decimal number to octal?

To convert a decimal number to octal, divide the decimal number by 8, recording the remainder each time, and read the remainders from bottom to top to obtain the octal equivalent.

How can you convert a decimal number to hexadecimal manually?

To convert a decimal number to hexadecimal, divide the decimal number by 16, recording the remainder each time. Use the corresponding hexadecimal digits (0-9, A-F) for the remainders, and read the remainders from bottom to top.

Why is it necessary to divide by 2 when converting from decimal to binary, by 8 when converting to octal, and by 16 when converting to hexadecimal?

Each number system has a base that determines how many digits are used. Binary has a base of 2, octal has a base of 8, and hexadecimal has a base of 16, so division by these numbers is required to obtain the correct equivalent in each system.