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Last updated on May 26th, 2025

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10101100 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on binary to decimal conversion. Firstly, we have to learn about binary numbers and decimals. A binary number is a base-2 numeral system that uses two symbols, typically 0 and 1. In contrast, a decimal is a base-10 numeral system that uses symbols from 0 to 9. Converting a binary number to a decimal involves understanding the position of each bit in the binary number.

10101100 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 10101100 as a decimal?

10101100 as a decimal

 

 

Answer

10101100 in decimal can be written as 172.

 

Explanation

To convert 10101100 in binary to decimal, we will use the positional method. Each digit in the binary number represents a power of 2, starting from the rightmost digit, which is 2^0. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify each bit's position, starting from the rightmost bit, which is the least significant bit (LSB).

 

Step 2: For each bit that is 1, calculate its value as 2 raised to the power of its position.

 

Step 3: Add all these values together to get the decimal equivalent. Here’s the breakdown for 10101100: - The rightmost bit is 0, representing 2^0 = 0.

 The next bit is 0, representing 2^1 = 0. The next bit is 1, representing 2^2 = 4.

The next bit is 1, representing 2^3 = 8. The next bit is 0, representing 2^4 = 0.

The next bit is 1, representing 2^5 = 32.

The next bit is 0, representing 2^6 = 0. The leftmost bit is 1, representing 2^7 = 128.

Adding these values gives: 128 + 0 + 32 + 0 + 8 + 4 + 0 + 0 = 172.

 

Therefore, the decimal equivalent of 10101100 is 172.

Professor Greenline from BrightChamps

Important Glossaries for 10101100 as a decimal

  • Binary Number: A number expressed in the base-2 numeral system, using only the digits 0 and 1.

 

  • Decimal Number: A number expressed in the base-10 numeral system, using digits from 0 to 9.

 

  • Bit: The smallest unit of data in a computer, representing a single binary value of 0 or 1.

 

  • Positional Value: The value of a digit in a number, determined by its position and the base of the number system.

 

  • Power of Two: A value that is a result of raising 2 to an exponent, used in calculating binary to decimal conversion.
Professor Greenline from BrightChamps

About BrightChamps in Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 10101100 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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