Question

DIGITAL SIGNAL PROCESSING; No more information was given besides this.

Please draw for each bit!

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Draw a plot of a quantized waveform for 3, 8, 16 bits 2's complement format.

Answer 1

Given numbers are 3,8,16 and Representation of these numbers in 8 bit format

3=00000011,,8=00001000 and 16=00010110.

2's complement of 3=11111101.

2's complement of 8=11111000

2's complement of 16=11101010.

For getting 2's complement of the number,First apply 1's complement and then add 1 to the 1's complemented number.

Quantizer converts the discrete signal into digital signal.

Here,For representing signal draw high level for 1 and low level for 0.

Now,I am taking Return to zero signaling for drawing wave form.After each bit ,wave goes to zero.

Waveforms: 2's complement form

3 1 1. 1. 1. 1. 1. 0. 1.

   ________________________ ____

   |___0__|

8. 1. 1. 1. 1. 1. 0. 0. 0

   ________ _____________

|____________

16. 1. 1. 1. 0. 1. 0. 1. 0

   _____________ ____ ____

   |__0_| |__0_| |__0___