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

Introduction

This tutorial will guide you through the process of converting decimal numbers into binary, octal, and hexadecimal formats. Understanding these conversions is essential for various applications in computer science, programming, and digital electronics. By the end of this guide, you will be able to perform these conversions with ease.

Step 1: Understanding Number Systems

• Decimal System: Base 10, uses digits 0-9.
• Binary System: Base 2, uses digits 0 and 1.
• Octal System: Base 8, uses digits 0-7.
• Hexadecimal System: Base 16, uses digits 0-9 and letters A-F.

Practical Tip: Familiarize yourself with each system and how they represent values.

Step 2: Converting Decimal to Binary

1. Divide the decimal number by 2.
2. Record the remainder (0 or 1).
3. Continue dividing the quotient by 2 until the quotient is 0.
4. Read the remainders in reverse order to get the binary equivalent.

Example: Convert 13 to binary.

• 13 ÷ 2 = 6 remainder 1
• 6 ÷ 2 = 3 remainder 0
• 3 ÷ 2 = 1 remainder 1
• 1 ÷ 2 = 0 remainder 1
• Binary: 1101

Step 3: Converting Decimal to Octal

1. Divide the decimal number by 8.
2. Record the remainder (0-7).
3. Repeat with the quotient until it is 0.
4. Read the remainders in reverse order for the octal result.

Example: Convert 65 to octal.

• 65 ÷ 8 = 8 remainder 1
• 8 ÷ 8 = 1 remainder 0
• 1 ÷ 8 = 0 remainder 1
• Octal: 101

Step 4: Converting Decimal to Hexadecimal

1. Divide the decimal number by 16.
2. Record the remainder (0-9, A-F).
3. Continue with the quotient until it is 0.
4. Read the remainders in reverse order to find the hexadecimal value.

Example: Convert 255 to hexadecimal.

• 255 ÷ 16 = 15 remainder 15 (F)
• 15 ÷ 16 = 0 remainder 15 (F)
• Hexadecimal: FF

Conclusion

You have now learned how to convert decimal numbers into binary, octal, and hexadecimal formats. Practice these conversions with different decimal numbers to strengthen your understanding. For further practice and techniques, consider watching additional tutorials linked in the video description. Keep experimenting with these conversions to become proficient!