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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 Indonesian 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 Indonesia

At BrightChamps, math questions are more than simple exercises—they open up countless possibilities! Our mission is to support kids across Indonesia in developing key skills like today’s focus on the 10101100 as a Decimal, with particular attention on decimal conversions—in a fun, engaging, and easy-to-understand way. Whether your child is figuring out the speed of a roller coaster at Dunia Fantasi, keeping score in a local badminton game, or managing their allowance to buy gadgets, mastering math builds their confidence to tackle daily challenges. Our interactive lessons make learning both fun and easy. Since children in Indonesia learn differently, we tailor our approach to meet their individual styles. From the lively streets of Jakarta to the gorgeous beaches of Bali, BrightChamps makes math relevant and exciting throughout Indonesia. Let’s make decimal conversions a fun part of every child’s learning journey!
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