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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 Canadian 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 Canada

At BrightChamps, math questions are more than just calculations—they’re pathways to new possibilities! We aim to help children all over Canada build key skills, such as today’s focus on the 1010 as a decimal with an emphasis on decimal conversions—taught in an engaging, fun, and clear manner. Whether your child is figuring out how fast a roller coaster moves at Canada’s Wonderland, keeping score during a hockey game, or managing their allowance for gadgets, strong math skills give them confidence for everyday situations. Our engaging lessons are designed to be easy and enjoyable. Since children in Canada learn in diverse ways, we customize our teaching to match their needs. From the vibrant streets of Toronto to the stunning scenery of British Columbia, BrightChamps makes math come alive, making it exciting and relevant across Canada. Let’s turn decimal conversions into a fun part of every child’s math experience!
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