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

Summary of the Video

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

This tutorial explains the concept of number bases and the step-by-step methods to convert decimal numbers (base 10) into binary (base 2), octal (base 8), and hexadecimal (base 16) numbers. It emphasizes the importance of these number systems in computing and everyday calculations.

Main Ideas and Concepts

Number Bases Overview

Decimal (Base 10): Digits 0-9, most common for humans.
Binary (Base 2): Digits 0 and 1, used in computers.
Octal (Base 8): Digits 0-7.
Hexadecimal (Base 16): Digits 0-9 and letters A-F representing values 10-15.

Hexadecimal Digits

Decimal Hexadecimal 10 A 11 B 12 C 13 D 14 E 15 F

Using Calculator for Conversion

Windows 10 Calculator can switch to Programmer mode.
Enter decimal number, then select binary, octal, or hexadecimal to see the conversion instantly.

Methodology for Manual Conversion

1. Decimal to Binary Conversion

Divide the decimal number by 2.
Record the remainder (1 if not divisible exactly, 0 if divisible).
Use the quotient for the next division by 2.
Repeat until the quotient is 0.
The binary number is the remainders read from bottom to top.

Example: Convert decimal 25 to binary

25 ÷ 2 = 12 remainder 1  
12 ÷ 2 = 6 remainder 0  
6 ÷ 2 = 3 remainder 0  
3 ÷ 2 = 1 remainder 1  
1 ÷ 2 = 0 remainder 1  
Binary = 11001

2. Decimal to Octal Conversion

Divide the decimal number by 8.
Record the remainder.
Use the quotient for the next division by 8.
Repeat until the quotient is 0.
The octal number is the remainders read from bottom to top.

Example: Convert decimal 385 to octal

385 ÷ 8 = 48 remainder 1  
48 ÷ 8 = 6 remainder 0  
6 ÷ 8 = 0 remainder 6  
Octal = 601

3. Decimal to Hexadecimal Conversion

Divide the decimal number by 16.
Record the remainder.
Use the quotient for the next division by 16.
Repeat until the quotient is 0.
Convert remainders 10-15 to A-F.
The hexadecimal number is the remainders read from bottom to top.

Example: Convert decimal 1583 to hexadecimal

1583 ÷ 16 = 98 remainder 15 (F)  
98 ÷ 16 = 6 remainder 2  
6 ÷ 16 = 0 remainder 6  
Hexadecimal = 62F

Important Notes

The reason for dividing by 2, 8, or 16 corresponds to the base of the target number system.
Remainders form the digits of the converted number when read in reverse order.
Calculator usage is recommended for quick conversions.
Manual calculation helps understand the underlying process.

Speakers/Sources

Single speaker (tutorial presenter) — no other speakers identified.

This summary captures the core instructional content and stepwise procedures for converting decimal numbers to binary, octal, and hexadecimal as explained in the video.