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Last updated on March 5th, 2025

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1010 as a decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to understand binary numbers and their conversion to decimals. A binary number represents values using two symbols, typically 0 and 1. Each digit represents a power of 2, with the rightmost digit representing 2^0. A decimal is a way to represent numbers using the base ten number system.

1010 as a decimal for Qatari Students
Professor Greenline from BrightChamps

What is 1010 as a decimal?

1010 as a decimalAnswer

 

1010 in binary can be written as 10 in decimal. Each position in a binary number represents a power of 2, starting from 2^0 on the right.

 

Explanation

 

To convert 1010 from binary to decimal, we will use the positional values of binary digits:

 

Step 1: Write down the binary number and note the positions, starting from right to left with powers of 2.

 

Step 2: Identify the places: 1 (2^3), 0 (2^2), 1 (2^1), and 0 (2^0).

 

Step 3: Calculate the value: (1×2^3) + (0×2^2) + (1×2^1) + (0×2^0) = 8 + 0 + 2 + 0

 

Step 4: Sum the results to get the decimal value: 8 + 2 = 10.

 

Thus, the binary number 1010 equals 10 in decimal.

Professor Greenline from BrightChamps

Important Glossaries for 1010 as a decimal

  • Binary Number: A number expressed in the base-2 numeral system, using only 0 and 1.
     
  • Decimal Number: A number expressed in the base-10 numeral system, which is the standard system for denoting integer and non-integer numbers.
     
  • Positional Value: The value of a digit in a number, determined by its position and the base of the numeral system.
     
  • Power of Two: A value calculated by raising 2 to an exponent, representing the positional values in binary numbers.
     
  • Conversion: The process of changing a number from one numeral system to another.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, math questions go beyond mere calculations—they unlock endless possibilities! Our goal is to support children throughout Qatar in mastering essential skills, such as today’s focus on the 1010 as a decimal with a special emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand manner. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, following scores at a local football match, or managing their allowance to buy gadgets, solid math skills boost their confidence for daily challenges. Our interactive lessons are designed to be fun and accessible. Since kids in Qatar learn in unique ways, we tailor our teaching to each child’s learning style. From Doha’s modern cityscape to its desert surroundings, BrightChamps brings math to life, making it exciting and relevant across Qatar. Let’s make decimal conversions a fun part of every child’s math journey!
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