Consider an 8-pixel line of gray scale data (10, 11, 15, 13, 15, 57, 54, 51) which has been uniformly quantized with 6-bit accuracy. Construct its 3 bits IGS code. Compute rms error for the decoded IGS code.

(We convert the IGS into decimal equivalent. Original data was 6-bit, during IGS we have selected only 3 bits of MSB of the modified 6 bits. Hence while converting to decimal we should consider their binary to decimal position bits.)