What Exactly is Decimal?

The decimal number system is also referred to as the base-10 numeral system since it employs ten digits, namely, zero till nine. A position in a decimal number represents the power of ten. For instance, the decimal 245 can be put forth as- 245 = 2 × 100 + 4 × 10 + 5 × 1 Thus 245 = 200 + 40 + 5. This place value system seems simple for people to comprehend and utilize.

And what's a Binary number?

Binary is actually a base-2 numeral system where only two digits are used instead of ten: 0 and 1. Each place in a binary number corresponds to the powers of two starting from right to left like- 1, 2, 4, 8, 16, 32, 64, 128 and so on. Consider the binary 1011 This is expandable as- 1 × 8 + 0 × 4 + 1 × 2 + 1 × 1 this gives: 8 + 0 + 2 + 1 = 11 Hence, 1011 in binary is 11 in decimal.

How to convert it to binary from decimal?

You must have come across so many methods, but the division by 2 method is too easy when converting a whole decimal number to binary. Keep dividing by 2 and writing down the remainder each time. Continue doing this until the quotient has become zero and then read the recorded remainders from bottom to top. Let's convert a few numbers for proper understanding; Example 1: Convert 10 to binary Divide 10 by 2 to begin with- 10 ÷ 2 = 5 remainder 0 Now, 5 ÷ 2 = 2 remainder 1 Next, 2 ÷ 2 = 1 remainder

What a user could think at the end of the session?

Converting decimal to binary can be seen as a task which depends on a few rules in the division method where numbers continue to get divided by 2 and recording the remainder each time until the quotient becomes zero and then reading remainders from bottom to top and hence obtaining binary values like: 10 = 1010, 13 = 1101, 18 = 10010, 25 = 11001, as demonstrated above using these binary values, this conversion task may seem much fun.

Convert Decimal to Binary: Simple Techniques You’ll Need to Know

Learn simple techniques to convert decimal to binary using division by 2 and powers of 2, with worked examples for 10, 13, 18, and 25.

Abhilash Sahoo

Sep 7, 20266 min read

Convert Decimal to Binary: Simple Techniques You’ll Need to Know

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Abhilash Sahoo

Abhilash Sahoo, with over 16 years of experience, is Founder & CEO of Infyways Solutions. He builds web platforms and eCommerce on Joomla, WordPress, Shopify, Magento, and OpenCart, plus modern stacks like Next.js, React, Node.js, and Python, with AI agents, automation, and headless CMS when products need to scale.

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Convert Decimal to Binary: Simple Techniques You’ll Need to Know

Frequently asked questions

Abhilash Sahoo

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