Question

How many equal intervals are present in a 14-bit D-A converter?

• A. 16383
• B. 4095
• C. 65535
• D. 1023

Hint:

DAC Resolution. An n-bit DAC has \(2^n\) possible output levels and therefore \(2^n - 1\) equal intervals or steps between the minimum and maximum output.

Answer 1

The Correct Option is A

A Digital-to-Analog (D-A or DAC) converter takes an n-bit digital input and produces a corresponding analog output level
An n-bit digital input can represent \(2^n\) distinct values (from 0 to \(2^n - 1\))
These digital values map to \(2^n\) distinct analog output levels
The intervals are the steps or gaps *between* these consecutive output levels
If there are \(N\) levels, there are \(N-1\) intervals between them
For a 14-bit DAC, n = 1(4) Number of distinct output levels = \(2^{14}\)
\(2^{10} = 1024\) \(2^{14} = 2^4 \times 2^{10} = 16 \times 1024 = 16384\)
Number of equal intervals = (Number of levels) - 1 Number of intervals = \(16384 - 1 = 16383\)