সমন্বিত ২ ব্যাংক (সোনালী ও জনতা) || অফিসার (আইটি) (04-10-2024) || 2024

All Written Question

Resolution=Voltage Range​/2^n

Where:

  • Voltage Range = 3.3V (the output voltage range from 0V to 3.3V)
  • n = number of bits in the digital input (12 bits in this case)

Now, let's calculate the resolution:

Resolution = 3.3/2^12 
                  ​=0.80586mV

So, the resolution of the analogue output is approximately 0.80586 mV per bit.

To find the sets X and Y based on the given information, we need to interpret the provided conditions step by step.

### Given:

1. XY={1,2,3,5,6,8,9,10}
2. XY={1,5}
3. YX={2,6,9,10}

### Step 1: Using YX

From condition 3, we know that:
YX={2,6,9,10}
This means that the elements 2,6,9, and 10 are in Y but not in X. Therefore, we can express Y as:
Y=(YX)(XY)
Since XY={1,5}, we can write:
Y={2,6,9,10}{1,5}={1,2,5,6,9,10}

### Step 2: Using XY

Now, we know:
XY={1,2,3,5,6,8,9,10}
And we have Y={1,2,5,6,9,10}. Now we can find X:
X=(XY)Y
This gives us:
X={1,2,3,5,6,8,9,10}{1,2,5,6,9,10}
Calculating this, we get:
X={3,8}

### Step 3: Verification

Now we need to verify if the derived sets satisfy all the conditions.

- **Checking XY**:
XY={3,8}{1,2,5,6,9,10}={1,2,3,5,6,8,9,10}(True)

- **Checking XY**:
XY={3,8}{1,2,5,6,9,10}={1,5}(True)

- **Checking YX**:
YX={1,2,5,6,9,10}{3,8}={2,6,9,10}(True)

### Conclusion

Thus, the sets X and Y are:

X={3,8}
Y={1,2,5,6,9,10}

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