What is the resolution of an analog-to-digital converter with a word length of 12 bits and an analogue signal input range of 100V? Show work.

The resolution of an analog-to-digital converter is 24.41 mV

Explanation:

Resolution of an analog-to-digital = (analogue signal input range) / 2ⁿ

where;

n is the number or length of bit, and in this question it is given as 12

Also, the analogue signal input range is 100V

Resolution of an analog-to-digital = 100V/2¹²

2¹² = 4096

Resolution of an analog-to-digital = 100V/4096

Resolution of an analog-to-digital = 0.02441 V = 24.41 mV

Therefore, the resolution of an analog-to-digital converter is 24.41 mV