Math Problem Statement
Convert the binary value 110000, start subscript, start subscript, 2, end subscript, end subscript1100002 into decimal.
Solution
To convert the binary value into decimal, we break it down by powers of 2:
Now, calculating each term:
Adding them together:
Thus, the decimal equivalent of is .
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Related Questions:
- How do you convert decimal numbers to binary?
- What is the decimal value of ?
- How do binary numbers work in computer memory?
- What is the process to convert binary numbers into hexadecimal?
- Can you convert into octal?
Tip:
When converting binary to decimal, remember that each digit represents a power of 2, starting from 0 on the right.
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Math Problem Analysis
Mathematical Concepts
Binary to Decimal Conversion
Powers of Two
Formulas
Decimal = b_n * 2^n + b_(n-1) * 2^(n-1) + ... + b_0 * 2^0
Theorems
Positional Notation in Number Systems
Suitable Grade Level
Grades 6-8