# Project #18310 - logic circuit

1.     A total of 6 bits is to be used in the following 2’s complement arithmetic process.

(i)            Write the 2’s complement representation of (- 6) and (+ 7).

2’s complement rep of (- 6) is:  _______________________

2’s complement rep of (+ 7) is: _______________________

(ii)          Use 2’s complement arithmetic to find  (- 6)  –  (+ 7) leaving your answer in 2’s complement – Use the results above and show your working to earn points!

Results in 2’s complement is: _____________________________

(iii)        Rewrite the above result as a signed number in decimal.

Result as a signed number in decimal is:  _________________

2.

Fig.1

Synchronous Counter

a.    In Fig. 1 above, assume the dotted line connections are removed. What is the Mod number of the resulting synchronous counter?

Mod number  =  ___________________

b.    In Fig. 1, assume the dotted line connections are established as proper connections just as the full line connections. What is the maximum count value of the resulting counter before recycling? (Do not consider a glitch as a count !). Assume the counter starts counting from a cleared state (0 0 0). Thus, what is the Mod number of the resulting counter?

Maximum count before recycling is:  _____________________

Mod number of counter is:  __________________

c.     Complete the state transition diagram of the counter of part (b) above (where dotted and full lines in Fig. 1 are all connections). Do not include a state that appears as a glitch !

Fig. 2

3.     (i)        In a 4-bit PIPO register, how many bits are outputted after each clock pulse?

Ans:  __________________

(ii)          In a 4-bit PISO register, how many bits are outputted after each clock pulse?

Ans:  __________________

(iii)        Fig. 3 below shows LED segments labelled a, b, …., g of a 7-segment display. Which LED segment will be on when the decoder/driver of the of the 7-segment display has an input of  1 0 0 1 ?

Fig. 3

7-Segment Display

Ans  ______________________

(iv)          A MUX with 32 inputs must have a total number of outputs equal to _________; and the number of “select” inputs is ___________.

(A)  1;      32

(B)  32;      1

(C)  1;      5

(D)5;      1

(v)            A DEMUX with 1 input has 6 “select” inputs used to determine which one of several outputs that the input should send its information to. The total number of outputs is ___________.

(A)  1

(B)  64

(C)  72

(D)6

 Subject Computer Due By (Pacific Time) 12/01/2013 08:52 pm
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