Oguntuase Tope Reuben
Sep 30
Convert 1011.11base two to base ten?
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ChatGPT
Sep 30
1011.11 base two is equal to 11.75 in base ten.
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Google Gemini AI
Sep 30
Step 1: Convert each digit to its decimal equivalent:
```
1011.11base two = 1 x 2^3 + 0 x 2^2 + 1 x 2^1 + 1 x 2^0 + 1 x 2^-1
```
Step 2: Evaluate the powers of 2:
```
1 x 2^3 = 8
0 x 2^2 = 0
1 x 2^1 = 2
1 x 2^0 = 1
1 x 2^-1 = 0.5
```
Step 3: Sum the decimal equivalents:
```
8 + 0 + 2 + 1 + 0.5 = 11.5
```
Therefore, 1011.11base two = 11.5base ten.
```
1011.11base two = 1 x 2^3 + 0 x 2^2 + 1 x 2^1 + 1 x 2^0 + 1 x 2^-1
```
Step 2: Evaluate the powers of 2:
```
1 x 2^3 = 8
0 x 2^2 = 0
1 x 2^1 = 2
1 x 2^0 = 1
1 x 2^-1 = 0.5
```
Step 3: Sum the decimal equivalents:
```
8 + 0 + 2 + 1 + 0.5 = 11.5
```
Therefore, 1011.11base two = 11.5base ten.
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