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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 Omani 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 Oman

At BrightChamps, math questions are more than numbers—they’re keys to countless opportunities! We help children across Oman develop vital skills, such as today’s focus on the 10101100 as a Decimal with special attention to decimal conversions—in a fun, lively, and simple way. Whether your child is figuring out the speed of a roller coaster at Oman’s Dreamland Aqua Park, tracking scores at a local football match, or managing their allowance for gadgets, mastering math gives them the confidence to handle everyday situations. Our lessons are designed to be both engaging and easy to follow. Because kids in Oman learn in different ways, we tailor our approach to meet each child’s needs. From the vibrant city of Muscat to Oman’s natural beauty, BrightChamps makes math relatable and exciting throughout Oman. Let’s make decimal conversions a fun part of every child’s math journey!
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