Binary Brain vs Combinations & Probabilities

This is an arbitrary-precision binary calculator for iOS and watchOS. It can add, subtract, multiply, or divide two or more binary numbers. It can operate on very large integers and very small fractional values. This calculator is, by design, very simple. You can use it to explore binary numbers in their most basic form. It operates on binary numbers (positive and negative). Although designed to be simple, it is an excellent educational tool as well. It keeps track of the calculation in order to let the user verify the calculation. It converts automatically and in real time the latest number in decimal and hexadecimal format. It also converts the latest number in IEEE 754 binary32 (Single-precision floating-point format) format (not available in watchOS version). This calculator is able to calculate bitwise AND, OR, NAND, NOR, XOR and XNOR operations. Moreover, it is possible to perform bit shift operations (not available in watchOS version).

Combinations & Probabilities puts the full power of discrete mathematics in your pocket — instantly. Whether you're a student, educator, analyst or simply curious about the real odds of anything, this is your precision toolkit. Beautifully designed for iOS 26 with Liquid Glass, supporting dark and light modes. CALCULATORS Combinations and permutations — with or without repetition — plus factorial, all powered by a prime-factorized fraction engine for exact, simplified results. Live calculation updates in real-time as you move the sliders. No loading, no waiting. Just math. PROBABILITY ENGINE Type favorable and total outcomes directly, or pipe your combination result into the probability calculator with a single tap. P(A) = m/n, calculated instantly. SCENARIOS Jump into pre-configured probability models — no setup required: · Lottery Models — real draws from the Americas and Europe. See how odds shift when you play 7 numbers instead of 6. · Dice — single or multiple dice, any target outcome. · Coins — exact odds for any head/tail sequence. HISTORY Tap copy on any result to save it to your history and clipboard simultaneously. Recall, reuse or delete individual entries. Up to 200 saved calculations in Pro — enough for the most demanding sessions. SMART INPUT Sliders for broad sweeps. Step controls — and + for precision. Input validation prevents mathematically impossible states — you simply can't break it. —— C&P Pro is a one-time purchase that removes ads and unlocks all current and future features forever. No subscription. No recurring charges. Pay once, yours forever. All purchases are processed by Apple and subject to Apple's Terms of Sale: https://www.apple.com/legal/internet-services/itunes/ —— Available in English, Portuguese, Spanish, French, Italian and German.