The GATE Grind

GATE 2014 EC (EC3) – Question 24

Digital Circuits · Data Converters · 1 mark · Numerical answer

An analog voltage range 0–8 V is divided into 16 equal intervals for a four-bit output. Find maximum quantization error (V).

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 0.24 to 0.26

Explanation

The8Vrange is divided into16equal intervals, giving step size Δ=8/16=0.5V. With nearest-level reconstruction the largest magnitude of quantization error is half a step, Δ/2=**0.25V**. This is an error bound rather than an rms noise value.