Question

Calculate the value of LSB and MSB of a 12-bit DAC for 10V.

• A. LSB = 2.4 mV; MSB = 5 V
• B. LSB = 2.4 mV; MSB = 10 V
• C. LSB = 4.8 mV; MSB = 5 V
• D. LSB = 4.8 mV; MSB = 10 V

Hint:

Remember the formulas for calculating the LSB and MSB in a DAC. \[ {LSB} = \frac{V_{{ref}}}{2^n} \] \[ {MSB} = \frac{V_{{ref}}}{2} \] where: \( V_{{ref}} \) is the reference voltage. \( n \) is the number of bits of resolution.

Answer 1

The Correct Option is A

Step 1: Calculate LSB: For an n-bit DAC with a full-scale output voltage of V, the least significant bit (LSB) voltage is given by: \[ LSB = \frac{V}{2^n} = \frac{10}{2^{12}} = \frac{10}{4096} = 0.00244 V = 2.44 mV \] Step 2: Calculate MSB: The most significant bit (MSB) value is half of the total output voltage, which is 5V for the total range of 10V. \[ MSB = \frac{V}{2} = \frac{10}{2} = 5V \] Therefore, LSB = 2.4 mV and MSB = 5 V.