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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 Singaporean 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 Singapore

At BrightChamps, we believe math questions are more than just exercises—they’re opportunities for growth! Our mission is to support children across Singapore in developing important skills, such as today’s focus on the 1010 as a decimal with a key emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Universal Studios Singapore, tracking scores at a local football match, or managing their allowance for the latest gadgets, strong math skills build their confidence to face daily tasks. Our lessons are interactive and fun. Since kids in Singapore have diverse learning styles, we customize our teaching to suit each child. From the bustling city streets to the scenic gardens, BrightChamps makes math come alive, making it relevant and exciting throughout Singapore. Let’s make decimal conversions an enjoyable part of every child’s learning journey!
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