Math Problem Statement
What is the answer?
What is the decimal equivalent of the binary number (10110)_2?
Solution
The image shows a binary number that needs to be converted into its decimal (base 10) equivalent.
To convert a binary number to a decimal number, we multiply each bit by 2 raised to the power of its position, starting from 0 on the right:
Calculating each term:
Adding them together:
Therefore, .
Would you like more details on this process or have further questions? Here are some related topics you might explore:
- How do you convert decimal numbers to binary?
- What is the significance of base 2 (binary) in computer science?
- How does the binary system compare to other number systems like octal and hexadecimal?
- Can negative binary numbers be represented, and if so, how?
- How does floating-point representation work in binary?
Tip: Always start from the rightmost digit (least significant bit) when converting from binary to decimal!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Number Systems
Binary to Decimal Conversion
Formulas
Binary to Decimal Conversion: Multiply each binary digit by 2 raised to the power of its position
Theorems
-
Suitable Grade Level
Grades 5-8