How to Convert Decimal to Binary

TL;DR

This video explains how to convert decimal numbers to binary numbers by doubling and adding numbers in a step-by-step process.

Transcript

good day welcome to techmath channel this is a really quick explanation on how to convert decimal numbers to binary numbers decimal numbers these are base 10 numbers which use uh the digits 0 1 2 3 4 5 6 7 8 9 there's 10 digits and also what happens is it goes up by factors of 10 each times like uh we go from tens from units to tens to 100s and eac... Read More

Key Insights

• 😒 Decimal numbers have base 10 and use digits from 0 to 9, while binary numbers have base 2 and use only 0 and 1 digits.
• #️⃣ Converting decimal numbers to binary involves doubling and adding the doubled numbers that sum up to the decimal number.
• #️⃣ The process involves two steps: finding the doubling that exceeds the decimal number and adding the doubled numbers to get the binary representation.
• #️⃣ The binary equivalent of a decimal number will have zeroes for the doubled numbers that are not used in the addition.
• #️⃣ By understanding the doubling and addition process, any decimal number can be converted to binary quickly and easily.
• 🎮 The video provides step-by-step instructions and examples for converting decimal numbers to binary.
• 💦 It is important to start with the smallest doubling and work your way up until finding the doubling that exceeds the decimal number.

Questions & Answers

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

Decimal numbers are base 10 numbers using digits from 0 to 9, while binary numbers are base 2 numbers using only 0 and 1 digits.

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

Start doubling from 1 until reaching a doubling that exceeds the decimal number, then use the doubled numbers that add up to the decimal number in binary.

Q: What if the doubling exceeds the decimal number?

If the doubling exceeds the decimal number, you don't need to include it in the binary representation. It can be skipped and move to the next doubling.

Q: Can you give an example of converting a decimal number to binary?

Sure, let's take the decimal number 14. Doubling from 1 gives us 1, 2, 4, and 8. We add 8 + 4 + 2 to get 14, so the binary representation is 1110.

Summary & Key Takeaways

• Decimal numbers are base 10 numbers with 10 digits, while binary numbers are base 2 numbers with only 0 and 1 as digits.

• To convert a decimal number to binary, start by doubling numbers from 1 until reaching a doubling that exceeds the decimal number.

• Then, look at the doubled numbers and add the ones that add up to the decimal number, placing zeroes for the remaining numbers.