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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 Singaporean 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 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 10101100 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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