Math Problem Statement
Convert the binary number 110111_2 to its decimal form.
Solution
The image shows the binary number .
To convert this binary number to its decimal (base 10) form, follow these steps:
- Label each binary digit (bit) with a power of 2, starting from the right (least significant bit). Each position corresponds to , where is the position index (starting from 0 on the right).
-
Calculate each term:
-
Add the results:
Thus, the binary number is equivalent to in decimal.
Do you need further details or have any questions? Here are some related topics:
- How do you convert decimal numbers to binary?
- What is the significance of each bit in a binary number?
- Can binary numbers be used to represent negative values?
- How do computers use binary numbers for calculations?
- What is the difference between binary, hexadecimal, and octal systems?
Tip: Always start binary conversions by assigning powers of 2, from right to left, for accuracy!
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
Decimal value = Σ (binary digit * 2^position)
Theorems
Positional number system theorem
Suitable Grade Level
Grades 6-8