Question
Your programmer friend told you that they just turned years old, in binary. How old are they in decimal? =
Answers
GPT-4o mini
To convert a binary number to decimal, you first need the binary value. Since you mentioned "turned years old, in binary" but didn't provide the specific binary number, I'll explain how to convert a binary number to decimal using an example.
Let's say your friend said they are "11001" years old in binary.
To convert this binary number to decimal, you can use the formula:
\[ \text{Decimal} = b_n \times 2^n + b_{n-1} \times 2^{(n-1)} + ... + b_1 \times 2^1 + b_0 \times 2^0 \]
Where \( b \) represents each digit in the binary number, and \( n \) is the position of the digit.
For "11001":
- The rightmost digit (1) is \( 2^0 = 1 \)
- The next digit (0) is \( 2^1 = 0 \)
- The next digit (0) is \( 2^2 = 0 \)
- The next digit (1) is \( 2^3 = 8 \)
- The leftmost digit (1) is \( 2^4 = 16 \)
Adding these together:
\[ 16 + 0 + 0 + 8 + 1 = 25 \]
So, "11001" in binary is 25 in decimal.
If you provide the specific binary number your friend gave you, I can help you convert that number to decimal!
Let's say your friend said they are "11001" years old in binary.
To convert this binary number to decimal, you can use the formula:
\[ \text{Decimal} = b_n \times 2^n + b_{n-1} \times 2^{(n-1)} + ... + b_1 \times 2^1 + b_0 \times 2^0 \]
Where \( b \) represents each digit in the binary number, and \( n \) is the position of the digit.
For "11001":
- The rightmost digit (1) is \( 2^0 = 1 \)
- The next digit (0) is \( 2^1 = 0 \)
- The next digit (0) is \( 2^2 = 0 \)
- The next digit (1) is \( 2^3 = 8 \)
- The leftmost digit (1) is \( 2^4 = 16 \)
Adding these together:
\[ 16 + 0 + 0 + 8 + 1 = 25 \]
So, "11001" in binary is 25 in decimal.
If you provide the specific binary number your friend gave you, I can help you convert that number to decimal!