11010 Binary to Decimal – Full Calculation Guide

The binary number 11010 converts to the decimal number 26.

This conversion works by summing the values of each binary digit (bit) multiplied by 2 raised to the power of its position, counting from right to left starting at zero. For 11010, each 1 contributes based on its position, summing to 26 in decimal.

Conversion Result

Conversion Tool

Conversion Formula

The conversion from binary to decimal uses the positional notation system, where each bit's value is multiplied by 2 raised to its position index, starting from zero on the right. The sum of these values gives the decimal equivalent.

For example, for 11010:

• 1 × 2⁴ = 16
• 1 × 2³ = 8
• 0 × 2² = 0
• 1 × 2¹ = 2
• 0 × 2⁰ = 0

Adding these: 16 + 8 + 0 + 2 + 0 = 26, so binary 11010 equals decimal 26.

Conversion Example

• Take binary 10101:
• Bits from right to left: 1, 0, 1, 0, 1
• Calculate each: 1×2⁰=1; 0×2¹=0; 1×2²=4; 0×2³=0; 1×2⁴=16
• Sum: 16 + 0 + 4 + 0 + 1 = 21
• Therefore, binary 10101 equals decimal 21.

• Binary 1111:
• Bits: 1, 1, 1, 1
• Calculations: 1×2³=8; 1×2²=4; 1×2¹=2; 1×2⁰=1
• Sum: 8 + 4 + 2 + 1 = 15
• So, binary 1111 equals decimal 15.

• Binary 1001:
• Bits: 1, 0, 0, 1
• Calculations: 1×2³=8; 0×2²=0; 0×2¹=0; 1×2⁰=1
• Sum: 8 + 0 + 0 + 1= 9
• Thus, binary 1001 equals decimal 9.

Conversion Chart

This chart helps to quickly see the binary equivalent of decimal numbers in the range from 10985 to 11035, and vice versa, aiding in conversions without calculations.

Related Conversion Questions

• How do I convert binary 11010 to hexadecimal?
• What is the binary representation of decimal 11010?
• Can I convert 11010 binary to octal easily?
• What is the decimal value of binary 101010?
• How to verify if binary 11010 equals decimal 26?

Conversion Definitions

Binary

Binary is a base-2 numeral system that uses only two digits, 0 and 1, to represent data. It underpins digital electronics and computing, where each digit corresponds to an on or off state in electronic circuits, enabling complex data processing.

Decimal

Decimal is a base-10 numeral system with ten digits from 0 to 9, widely used in everyday counting and arithmetic. It represents numbers through place values, where each digit's position determines its value multiplied by powers of 10.

Conversion FAQs

How do I quickly convert binary 11010 to decimal manually?

To convert manually, write down each bit with its position value starting from right (0). Multiply each bit by 2 raised to its position power, then sum all products. For 11010, sum 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰.

What errors should I avoid when converting binary to decimal?

Avoid misaligning the bit positions, mixing up the powers of 2, or skipping bits. Also, do not treat binary digits as decimal digits; remember to multiply each by 2^position. Double-check the sum to prevent calculation mistakes.

Is there an easy way to convert binary 11010 using calculator tools?

Yes, many scientific calculators or online converters can directly convert binary numbers to decimal. Input the binary number as a string, or select binary mode if available, then view the decimal equivalent instantly.

Can I convert binary 11010 to other bases like octal or hexadecimal directly?

Yes, binary can be grouped into 3 bits for octal or 4 bits for hexadecimal, then each group is converted separately. For 11010, pad with leading zeros if needed, and then convert each group to its base-8 or base-16 equivalent.

Last Updated : 18 June, 2025

Sandeep Bhandari

Sandeep Bhandari holds a Bachelor of Engineering in Computers from Thapar University (2006). He has 20 years of experience in the technology field. He has a keen interest in various technical fields, including database systems, computer networks, and programming. You can read more about him on his bio page.