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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 Vietnamese 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 Vietnam

At BrightChamps, we believe math questions are more than just figures—they’re doors to many opportunities! We strive to help children throughout Vietnam build essential skills, such as today’s focus on the 1010 as a decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-follow style. Whether your child is calculating the speed of a roller coaster at Suoi Tien Theme Park, tracking scores in a local football match, or managing their allowance for new gadgets, mastering math gives them the confidence they need in everyday life. Our engaging lessons make learning straightforward and fun. Because children in Vietnam have different learning preferences, we personalize our approach to suit each child. From the bustling streets of Ho Chi Minh City to the beautiful Ha Long Bay, BrightChamps brings math to life, making it relatable and exciting across Vietnam. Let’s make decimal conversions an enjoyable part of every child’s math journey!
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