How do you convert binary to decimal?

To convert binary (base-2) to decimal (base-10), multiply each binary digit by its positional power of 2 and sum the results. Starting from the rightmost digit (position 0): binary 1101 = 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 8 + 4 + 0 + 1 = 13. The rightmost bit is always 1 if the number is odd, and 0 if even.

How do you convert decimal to hexadecimal?

To convert decimal to hexadecimal (base-16), repeatedly divide by 16 and collect the remainders in reverse order. Remainders 10–15 are represented as A–F. For example: 255 ÷ 16 = 15 remainder 15 (F); 15 ÷ 16 = 0 remainder 15 (F). Reading remainders bottom to top: 255 decimal = FF hexadecimal. Verify: 15×16 + 15 = 240 + 15 = 255.

What is the difference between binary, octal, and hexadecimal?

These are all positional number systems with different bases: binary (base-2) uses only 0 and 1 and is the fundamental language of computers; octal (base-8) uses digits 0–7 and was used in early computing (each octal digit represents 3 binary bits); hexadecimal (base-16) uses 0–9 and A–F and is preferred in modern computing because each hex digit represents exactly 4 binary bits, making byte values easy to read (1 byte = 2 hex digits).

Why do computers use binary?

Computers use binary because digital circuits have two stable states: voltage on (1) and voltage off (0). This makes binary extremely reliable — detecting "high" vs. "low" voltage is simpler and less error-prone than distinguishing among 10 voltage levels (decimal). All modern computing — from CPU instructions to network packets to file storage — ultimately operates on binary data. Higher-level number systems like hexadecimal are just human-friendly ways to represent groups of binary digits.

How do you convert a hexadecimal color code to RGB?

A hex color code like #1A2B3C is divided into three 2-digit hex pairs: 1A (red), 2B (green), 3C (blue). Convert each pair from hex to decimal: 1A = 1×16 + 10 = 26, 2B = 2×16 + 11 = 43, 3C = 3×16 + 12 = 60. So #1A2B3C = rgb(26, 43, 60). Each channel ranges from 0 (hex 00) to 255 (hex FF), giving 16.7 million possible colors.

What does the hexadecimal number FF equal in decimal?

FF in hexadecimal equals 255 in decimal. The calculation: F = 15 in decimal, so FF = 15×16¹ + 15×16⁰ = 240 + 15 = 255. This is why 255 is the maximum value for each RGB color channel and why byte values range from 0x00 to 0xFF. It is also the maximum value of an unsigned 8-bit integer (2⁸ − 1 = 255). In binary, FF = 11111111 (eight 1-bits).

How do I convert time between time zones online?

Enter your time in the input field, select your source time zone, and choose your destination zone — the converted time updates automatically. For scheduling meetings across multiple cities, use the World Clock & Scheduler which shows hourly time slots in up to 4 cities and lets you add the meeting to Google Calendar, Office 365, or Outlook directly.

How many kilometers are in a mile?

One mile equals exactly 1.609344 kilometers. To convert miles to kilometers, multiply the number of miles by 1.609344.

How do I convert Celsius to Fahrenheit?

To convert Celsius to Fahrenheit, multiply the temperature by 9/5 and add 32. For example, 100°C × 9/5 + 32 = 212°F.

How many pounds are in a kilogram?

One kilogram equals approximately 2.20462 pounds. To convert kilograms to pounds, multiply by 2.20462.

How many centimeters are in an inch?

One inch equals exactly 2.54 centimeters. This is a fixed conversion factor: to convert inches to cm, multiply by 2.54; to convert cm to inches, divide by 2.54.

How is BMI calculated?

BMI is calculated as weight in kilograms divided by height in metres squared (BMI = kg / m²). Categories: Underweight under 18.5, Normal 18.5–24.9, Overweight 25–29.9, Obese 30 and above.

What is compound interest and how do I calculate it?

Compound interest grows by earning interest on previously earned interest. The formula is A = P × (1 + r/n)^(n×t), where P is the principal, r is the annual rate, n is the compounding frequency, and t is the time in years. Use the Rule of 72 (72 ÷ rate%) to estimate doubling time.

Are exchange rates live and accurate?

Yes — currency rates come from the European Central Bank (ECB) via the Frankfurter API, updated daily. The historical chart shows 7, 30, or 90 days of rate movement for any supported currency pair.

Binary to Decimal Converter — Binary, Hex, Octal & Decimal

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FF

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