EDC in a RAM We consider a Memory Management Unit such as the one introduced in sub-section 18.7.3.1. The data words have k = 8 bits, and they are coded with a linear code using n = 12 bits (hence r = 4). The coding relations are the following:

Y1 = U1 Er> U2 Er> u4 Er> U5 Er> U7, Y2 = U1 Er> U3 Er> U4 Er> U6 Er> U7,

Y3 = U], Y4 = Uz EE> U3 EE> U4 EE> US, Y5 = Uz , Y6 = U3 , Y7 = U4, Ys = U5 EE> U6 EE> U7 EE> US, Y9 = U5, YJO = U6, YJ1 = U7, Y12 = Us·

1. Draw the generator and the control matrices, G and H (see Chapter 15).
Study the coding and decoding of the 8-bit word: (00111011). Determine the Hamrning distance between all codewords.
2. Analyze the influence of a single error on the previous word. How to correct this error?
3. Discuss the implementation of this code in the MMU.
4. Is this code appropriate for scrubbing 'soft faults'?