Consider a four bit D to A converter. The analog value corresponding t...
Analog output = [Resolution] × [Decimal equivalent of Binary]
= (0.0615) (15) = 0.9225V
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Consider a four bit D to A converter. The analog value corresponding t...
Given Information:
- Four-bit D to A converter
- Digital signals 0000 and 0001 correspond to analog values 0V and 0.0625V respectively
To find:
- Analog value corresponding to the digital signal 1111
Solution:
The four-bit D to A converter has 4 input lines, each representing a binary digit (bit). The digital signals range from 0000 (0 in decimal) to 1111 (15 in decimal).
Step 1: Calculate the analog value for each bit
- The analog value for the most significant bit (MSB) is calculated as follows:
- The digital signal for MSB is 1 (most significant bit is 1), which represents the decimal value 8.
- Since the analog value corresponding to the digital signal 0001 is 0.0625V, the analog value for the MSB is (8 * 0.0625V) = 0.5V.
- Similarly, we can calculate the analog value for the other three bits:
- For the next bit, the digital signal is 1, representing the decimal value 4. The analog value for this bit is (4 * 0.0625V) = 0.25V.
- For the third bit, the digital signal is 1, representing the decimal value 2. The analog value for this bit is (2 * 0.0625V) = 0.125V.
- For the least significant bit (LSB), the digital signal is 1, representing the decimal value 1. The analog value for this bit is (1 * 0.0625V) = 0.0625V.
Step 2: Calculate the total analog value
- The total analog value is the sum of the analog values for each bit: 0.5V + 0.25V + 0.125V + 0.0625V = 0.9375V.
Therefore, the analog value corresponding to the digital signal 1111 is 0.9375V.