Write the number given below as a decimal numeral.
1110two

The number \(1110_2\) is a binary number. To convert it to a decimal numeral, we follow these steps:

1. Write the binary number \(1110_2\) with its digits and their place values:
\[
1110_2 = 1 \cdot 2^3 + 1 \cdot 2^2 + 1 \cdot 2^1 + 0 \cdot 2^0
\]

2. Calculate the powers of 2 for each position:
\[
= 1 \cdot 8 + 1 \cdot 4 + 1 \cdot 2 + 0 \cdot 1
\]

3. Add the results:
\[
= 8 + 4 + 2 + 0 = 14
\]

So, the decimal equivalent of \(1110_2\) is \(14\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you convert a binary number to decimal in general?
2. What is the decimal value of \(1011_2\)?
3. How do you convert a decimal number back to binary?
4. What is the binary representation of the decimal number \(25\)?
5. 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.

Write the number given below as a decimal numeral. 1110two

Learn how to convert the binary number 1110two to its decimal equivalent with a detailed, step-by-step explanation. This problem introduces concepts from the binary number system and walks you through calculating the decimal equivalent. Perfect for students in Grades 6-8.

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