Question
What is the decimal value of the binary number 0011 1100?(1 point)Responses34345656606068
Answers
GPT-4o mini
To convert the binary number `0011 1100` to decimal, we can break it down as follows:
Starting from the rightmost bit, each bit represents a power of 2:
- \(0 \times 2^7 = 0\)
- \(0 \times 2^6 = 0\)
- \(1 \times 2^5 = 32\)
- \(1 \times 2^4 = 16\)
- \(1 \times 2^3 = 8\)
- \(1 \times 2^2 = 0\)
- \(0 \times 2^1 = 0\)
- \(0 \times 2^0 = 0\)
Now, we sum the values from the positions of the bits that are set to 1:
\[ 32 + 16 + 8 = 56 \]
The decimal value of the binary number `0011 1100` is **60**.
Starting from the rightmost bit, each bit represents a power of 2:
- \(0 \times 2^7 = 0\)
- \(0 \times 2^6 = 0\)
- \(1 \times 2^5 = 32\)
- \(1 \times 2^4 = 16\)
- \(1 \times 2^3 = 8\)
- \(1 \times 2^2 = 0\)
- \(0 \times 2^1 = 0\)
- \(0 \times 2^0 = 0\)
Now, we sum the values from the positions of the bits that are set to 1:
\[ 32 + 16 + 8 = 56 \]
The decimal value of the binary number `0011 1100` is **60**.