How to convert between decimal and binary

TL;DR

Learn how to convert decimal numbers to binary numbers and vice versa using a simple doubling method.

Transcript

good day welcome to the techmath channel what we're going to be having a look at in this particular video is how to convert between decimal numbers and binary numbers so uh sit back and enjoy and if you like this video please remember hit the like button and subscribe so first off in this video we're going to have a look at what binary numbers are ... Read More

Key Insights

• 😒 The decimal system uses a base of 10, while the binary system uses a base of 2.
• ↔️ In binary numbers, the value of each digit doubles as you move from right to left.
• #️⃣ Converting a decimal number to binary involves finding the sum of the doubling values that do not exceed the decimal number.
• 🪜 Converting a binary number to decimal involves adding up the values of the digits that have a value of 1.
• ⏫ The doubling method simplifies the conversion process between decimal and binary numbers.
• 🤑 Binary numbers are only composed of zeros and ones.
• 💨 The binary system provides a more efficient way to represent information in computers.

Questions & Answers

Q: What is the difference between the decimal system and the binary system?

The decimal system is based on a base of 10, while the binary system is based on a base of 2. In the decimal system, we have 10 digits to choose from (0-9), while in the binary system, we have only 2 digits (0 and 1).

Q: How do you count in binary numbers?

In binary numbers, you count starting from 1 and then double the previous number each time. So, it goes like 1, 10, 11, 100, 101, and so on.

Q: How do you convert a decimal number to binary?

To convert a decimal number to binary, start with 1 and double it until you exceed the decimal number. Then, add the necessary values from the doubling process to get the binary representation.

Q: How do you convert a binary number to decimal?

To convert a binary number to decimal, assign a value of 1 to the rightmost digit, double that value for each subsequent digit, and then add up the values for the digits that have a value of 1.

Summary & Key Takeaways

• The video explains the difference between the decimal system and the binary system, where the decimal system uses a base of 10 and the binary system uses a base of 2.

• It demonstrates how to count in binary numbers using only ones and zeros, showing that the numbers double in value each time.

• The video also provides step-by-step instructions on how to convert a decimal number to binary and vice versa, using a doubling method.