BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon141 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

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 US 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 United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 10101100 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom