Part a) i)

        _______________________
       |        4-to-1         |
D0 ----|      Multiplexer      |
       |                       |
D1 ----|                       |---> Output
       |                       |
D2 ----|                       |
       |                       |
D3 ----|_______________________|
              |         |
              |         |
              |         |
              |         |
              S1        S0

Part a) ii)

Set the select inputlines to 01 to select the 2^nd line, and when input from the 4^th line is needed after 1 second (i.e i3), set the select input lines to 11

Part a) iii)

– It always exists in 1 of 2 stable states.
-It can retain its state to achieve storage (in the case the set goes from 1 to 0)

Can be used in RAM Arrays (to implement 1 bit storage) or to Implement a Ripple Counter

Part b) i)

1101

(First bit is 1 for to represent a negative value,

working for 5₁₀ to binary :

       2 | 5  

       2 |2  remainder 1

       2 |1  remainder 0 

            0  remainder 1

i.e 5₁₀  = 101₂

combining the result we get 1101₂

)

Part b) ii)

1010 (flipped bits of 0101)

Part b) iii)

1010 +1 = 1011

Part c)

(Show binary-decimal conversions)

For an unbiased exponent and unnormalized mantissa:

sign is -ve, Exponent = 2, Mantissa= 0101

i.e -0.0101 x 2_­² = -1.01

-1.01₂   =  (-1 x 2⁰)+ (0 x 2^-1)+ (1 x 2^-2)

          = -1 + 0+ ¼

          = -1.25

Part d) i)

Not (Unary operator)

x	Not X
0	1
1	0

Part d) ii)

AND

x	Y	X AND Y
0	0	0
0	1	0
1	0	0
1	1	1

Part d) iii)

OR

x	y	X OR Y
0	0	0
0	1	1
1	0	1
1	1	1

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© 2023  Vedesh Kungebeharry. All rights reserved.