Question
What is the decimal form of the following binary IP address? 11001101.00111001.10101001.01000010 ###answer### 190.42.154.51 206.58.170.67 205.57.169.66 238.90.202.99
Answers
GPT-4o mini
To convert the binary IP address 11001101.00111001.10101001.01000010 to decimal form, we can convert each octet (the sections separated by the dots) from binary to decimal.
1. **First octet:** 11001101
- \( 1 \times 2^7 + 1 \times 2^6 + 0 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 \)
- \( = 128 + 64 + 0 + 0 + 8 + 4 + 0 + 1 = 205 \)
2. **Second octet:** 00111001
- \( 0 \times 2^7 + 0 \times 2^6 + 1 \times 2^5 + 1 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 \)
- \( = 0 + 0 + 32 + 16 + 8 + 0 + 0 + 1 = 57 \)
3. **Third octet:** 10101001
- \( 1 \times 2^7 + 0 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 \)
- \( = 128 + 0 + 32 + 0 + 8 + 0 + 0 + 1 = 169 \)
4. **Fourth octet:** 01000010
- \( 0 \times 2^7 + 1 \times 2^6 + 0 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 \)
- \( = 0 + 64 + 0 + 0 + 0 + 0 + 2 + 0 = 66 \)
Putting it all together, the decimal form of the binary IP address is:
**205.57.169.66**
From your list of provided options, the correct answer is:
**205.57.169.66**
1. **First octet:** 11001101
- \( 1 \times 2^7 + 1 \times 2^6 + 0 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 \)
- \( = 128 + 64 + 0 + 0 + 8 + 4 + 0 + 1 = 205 \)
2. **Second octet:** 00111001
- \( 0 \times 2^7 + 0 \times 2^6 + 1 \times 2^5 + 1 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 \)
- \( = 0 + 0 + 32 + 16 + 8 + 0 + 0 + 1 = 57 \)
3. **Third octet:** 10101001
- \( 1 \times 2^7 + 0 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 \)
- \( = 128 + 0 + 32 + 0 + 8 + 0 + 0 + 1 = 169 \)
4. **Fourth octet:** 01000010
- \( 0 \times 2^7 + 1 \times 2^6 + 0 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 \)
- \( = 0 + 64 + 0 + 0 + 0 + 0 + 2 + 0 = 66 \)
Putting it all together, the decimal form of the binary IP address is:
**205.57.169.66**
From your list of provided options, the correct answer is:
**205.57.169.66**