Who Invented the Binary Number System and Why It Powers Every Computer

Every time you turn on a computer, write code, or simply watch a video, you are using the binary number system — a numeral system with just two symbols: 0 and 1.

But where did it come from? Who invented it? And why exactly two symbols, and not, say, three?

Leibniz and the Binary Number System

In 1703, Gottfried Wilhelm Leibniz first described the principles of the binary system in his work “Explication de l’Arithmétique Binaire”. He demonstrated that any number could be represented — and arithmetic operations performed — using only two digits.

But here is the most fascinating part: he saw in this not just mathematics, but philosophy.

Leibniz believed that 0 and 1 symbolized the fundamental opposites of the world:

• Darkness and light
• No and yes
• Evil and good

Beyond philosophy, the binary number system is far simpler and more reliable than the decimal one — it is easy to implement in both mechanical and electronic devices.

Was Leibniz Really the First?

In fact, the idea of binary logic appeared long before the 17th century:

Ancient China — the I Ching (Book of Changes, 12th century BC) describes 64 hexagrams composed of solid (yang) and broken (yin) lines. This can be seen as the earliest known binary code.

India — the mathematician Pingala (5th–6th century BC) developed a system resembling Newton’s binomial coefficients, laying early groundwork for binary-style enumeration.

Medieval Europe — Ramon Llull (13th century) proposed a logical machine based on combinations of symbols, which became a conceptual precursor to Boolean algebra.

Why the Binary Number System Won

There are three core reasons binary became the foundation of modern computing:

Simplicity — in electronics, it is far easier to distinguish two states (on/off) than three or more.

Reliability — fewer possible states means fewer chances for computational errors.

Universality — all calculations can be expressed through 0 and 1, and logical operations map onto it perfectly.

It was Leibniz who systematized existing knowledge, developed algorithms for working with binary numbers, and laid the groundwork for computing technology — which, some 250 years later, would evolve into the modern computer.

What If We Counted Differently?

Imagine a world where computers used a ternary or even quinary number system. Would they run faster? Would they be more powerful?

Some researchers argue that ternary systems could theoretically be more efficient — each digit carries more information than a binary one. Soviet engineers actually built a ternary computer, the Setun, at Moscow State University in 1958. It worked — but the binary number system had already taken hold, and the rest is history.

The binary number system did not win by accident. It won because it matched the physical reality of electronics: a transistor is either open or closed, a voltage is either high or low. That elegant simplicity, first glimpsed by Leibniz in the early 1700s, turned out to be exactly what the digital age needed.