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Question No: 1 Marks: 8+8
a) Convert each of the following POS expression to minimum SOP expression using a Karnaugh Map.
(A+B)(A+B+C)(B+C+D)(A+B+C+D)
b) Convert the decimal numbers 78 and 34 into Octal. Using octal addition, add the two numbers
and convert the octal result back into decimal and verify the answer.
Question No: 2 Marks: 8
Draw the timing diagram of QA,QA , QB and QB . Assume the Positive edge triggering.
It is required to construct a memory with 256 words, 16 bits per word. Cores are available in a
matrix of 16 rows and 16 columns.
a) How many matrices are needed?
b) How many flip-flops are in the address and buffer registers?
c) How many cores receive current during a read cycle?
d) How many cores receive at least half-current during a write cycle?
Question No: 5 Marks: 8
Show the data output waveform for a 4-bit register with the parallel input data and the clock and
SHIFT / LOAD waveform given in the figure. The serial data input (SER) is a 0. The parallel data
inputs are D0=1, D1=0, D2=1, D3=0 as shown. Develop the data-output waveform in relation to the
inputs.
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