Math Problem Statement
Convert the following base 2 numeral to a base 10 numeral: 110001
Solution
To convert the binary number into its decimal (base 10) equivalent, we can break it down by assigning powers of 2 to each digit.
Starting from the rightmost digit:
Now, let's calculate each term:
Now, sum all the results:
Thus, the decimal (base 10) equivalent of is .
Would you like further details or explanations on this? Here are some related questions for further exploration:
- How do you convert other binary numbers to decimal?
- What is the general formula for converting any base to decimal?
- How would you convert the decimal number 49 back to binary?
- What are the steps to convert a binary fraction to decimal?
- How does binary addition work in computer systems?
Tip: In binary conversion, each digit represents a power of 2, starting from the right (least significant bit) to the left (most significant bit).
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Math Problem Analysis
Mathematical Concepts
Number Systems
Binary to Decimal Conversion
Formulas
Sum of powers of 2 for binary digits
Theorems
Place value in binary systems
Suitable Grade Level
Grades 6-8