Math Calculators

Free Online Math Calculators — Instant Answers, No Sign-Up Required

Whether you're a student working through homework problems, a professional needing quick number crunching, or just someone who wants to double-check their arithmetic, LogiCalc's math calculator suite gives you instant, accurate answers with step-by-step workings. Every tool on this page runs entirely in your browser — there's no account required, no data sent to any server, and no waiting.

Fraction Calculator — Add, Subtract, Multiply, Divide Fractions

Fractions are one of the most common stumbling blocks in mathematics — but they follow a small set of clear, learnable rules. Our Fraction Calculator handles all four arithmetic operations on proper fractions, improper fractions, and mixed numbers. It shows the Lowest Common Denominator (LCD) step for addition and subtraction, the cross-multiplication step for division, and always simplifies the result to lowest terms. You can also convert between fractions and decimals instantly.

Common use cases: splitting recipe quantities, calculating material proportions in construction, working through school assignments, or dividing costs between multiple parties.

Percentage Calculator — Three Modes for Every Percentage Problem

Percentages appear everywhere — discounts at the shops, interest rates on loans, tax calculations, grade distributions, and statistical change reporting. Our Percentage Calculator covers four distinct modes:

• Percentage of a number — “What is 17.5% of £340?”
• What percentage is X of Y? — “35 is what percent of 280?”
• Percentage difference — the symmetric difference between two values
• Percentage change — increase or decrease from an original value to a new one

Each mode shows the formula used and a plain-English interpretation of the result, making it ideal for understanding not just the answer but the calculation behind it.

Binary Calculator — Base-2 Arithmetic and Conversion

Binary (base-2) is the language of computers. Every file, image, and piece of software ultimately reduces to sequences of 0s and 1s. Understanding binary is essential for computer science students, programmers, and anyone working with low-level hardware or networking. Our Binary Calculator performs addition, subtraction, multiplication, and division entirely in base-2, and converts seamlessly between binary and decimal representations.

The calculator also shows the positional value of each binary digit — helping you understand why 1011₂ equals 11 in decimal (8 + 0 + 2 + 1).

Hex Calculator — Hexadecimal Arithmetic and Conversion

Hexadecimal (base-16) is used extensively in computing, web design (HTML colour codes), memory addressing, and cryptography. The 16 digits of hexadecimal — 0 through 9 plus A through F — allow compact representation of large binary values. Our Hex Calculator performs all four arithmetic operations on hexadecimal numbers, and converts between hex, decimal, and binary in one step.

Whether you're debugging a CSS colour code (e.g. #FF6B35 → RGB 255, 107, 53), working with memory addresses in assembly, or decoding network packets, this tool gives you instant, accurate conversions.

Exponent Calculator — Powers, Roots, and Exponent Laws

Exponentiation — raising a base to a power — is one of the most important operations in mathematics. It appears in compound interest, scientific notation, logarithms, population growth models, and physics. Our Exponent Calculator handles:

• Positive exponents: 5³ = 125
• Negative exponents: 2⁻³ = 1/8 = 0.125
• Fractional exponents: 27^(1/3) = ∛27 = 3
• Zero exponent: any non-zero base to the power 0 equals 1
• Natural base: e^x calculations

Each result includes the step-by-step working so you can follow the calculation and verify your understanding of the exponent laws.

Random Number Generator — True Randomness, Any Range

From choosing a random winner in a competition to generating test data for a software project, random number generation is a surprisingly common need. Our Random Number Generator lets you set any lower and upper bound, choose between integers and decimals, and generate multiple random values in one click. The generator uses the browser's built-in Math.random() API for fast, high-quality pseudo-random output suitable for all everyday uses.

Why Use LogiCalc Math Calculators?

Unlike generic calculator apps, LogiCalc's math tools are designed to teach as well as compute. Every calculator shows the formula used, the steps taken, and — where relevant — a plain-English explanation of what the result means. This makes them ideal for students learning mathematical concepts, not just professionals who want fast answers.

All calculations run in your browser using JavaScript. Your numbers are never sent to any server. There are no accounts, no cookies for computation, and no paywalls. LogiCalc math calculators are completely free, forever.

Frequently Asked Questions About Math Calculators

Are these math calculators free to use?
Yes — every tool on LogiCalc is completely free with no registration required. Calculations run in your browser and are never stored or transmitted.

Can I use these on my phone?
Yes. All LogiCalc calculators are fully responsive and work on any screen size — phone, tablet, or desktop.

How accurate are the results?
For integer arithmetic (binary, hex, fractions), results are exact. For decimal computations, results are accurate to standard JavaScript floating-point precision (15-16 significant digits).

Do these calculators show step-by-step working?
Yes — each calculator displays the formula or method used alongside the result, so you can follow and understand the calculation, not just see the answer.

What's the difference between binary and hexadecimal?
Binary (base-2) uses only 0 and 1. Hexadecimal (base-16) uses 0–9 plus A–F. Hex is a convenient shorthand for binary: each hex digit represents exactly 4 binary digits (e.g. F = 1111₂).