Math Problem Statement
Write the number given below as a decimal numeral. 1110two
Solution
The number is a binary number. To convert it to a decimal numeral, we follow these steps:
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Write the binary number with its digits and their place values:
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Calculate the powers of 2 for each position:
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Add the results:
So, the decimal equivalent of is .
Would you like more details or have any questions?
Here are 5 related questions:
- How do you convert a binary number to decimal in general?
- What is the decimal value of ?
- How do you convert a decimal number back to binary?
- What is the binary representation of the decimal number ?
- How does the binary number system differ from the decimal system?
Tip: When converting binary to decimal, always start from the rightmost digit and assign increasing powers of 2 from right to left.
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Math Problem Analysis
Mathematical Concepts
Binary Number System
Decimal Conversion
Formulas
Decimal equivalent of binary = Sum of (digit × 2^position) for each binary digit
Theorems
Positional number system
Suitable Grade Level
Grades 6-8