Binary To Decimal

Binary to Decimal Converter

Binary-to-decimal conversion converts a number written in base-2 (0 and 1) to its base-10 (0–9) value. Computers store and process data in binary, but people usually read and calculate in decimal, so converting helps you understand what a binary value really means.

Use our binary to decimal converter to get instant, accurate results without manual math. It’s ideal for students, developers, networking, electronics, and everyday learning.

What Is Binary and What Is Decimal?

Binary (Base-2)

Binary uses only two digits: 0 and 1. Each digit position represents a power of 2 (… 2³, 2², 2¹, 2⁰). That’s why binary is perfect for computers: it matches ON/OFF signals.

Decimal (Base-10)

Decimal is the number system we use daily. It has ten digits: 0 to 9. Each position represents a power of 10 (… 10³, 10², 10¹, 10⁰).

How to Convert Binary to Decimal

There are two simple methods you can use. Both are reliable—choose whichever feels easier.

Positional Notation

In this method, you multiply each binary digit by its place value (a power of 2) and add them all.

Formula idea:

Decimal value = (bit × 2ⁿ) + (bit × 2ⁿ⁻¹) + … + (bit × 2⁰)

Example: Convert 1011₂ to decimal

Positions: 2³ 2² 2¹ 2⁰

Binary: 1 0 1 1

= (1×8) + (0×4) + (1×2) + (1×1)

= 8 + 0 + 2 + 1

= 11₁₀

Tip: If you want the fastest result, use the binary to decimal and verify your steps in seconds.

Doubling Method

It is a fast method that works great without writing powers.

Steps:

1. Start from the leftmost bit.
2. For each next bit: multiply the current value by 2, then add the next bit.

Example: Convert 11010₂

Start with the first bit: 1

• 1 × 2 + 1 = 3
• 3 × 2 + 0 = 6
• 6 × 2 + 1 = 13
• 13 × 2 + 0 = 26

So, 11010₂ = 26₁₀

This method is perfect for quick checks, and your binary to decimal conversion can confirm the answer instantly.

Why People Use a Binary to Decimal Converter

A good binary to decimal converter saves time and prevents mistakes, especially when:

• Numbers are long (8-bit, 16-bit, 32-bit binary)
• You’re reading binary in programming or debugging
• You’re working with networking or electronics
• You need quick results for homework and exams

It also makes internal learning easier—once you understand the pattern, binary becomes far less confusing.