53.
Simplified expression of $${\text{Y}} = \left( {{\text{A}} + {\text{B}}} \right)\left( {{\text{A}} + \overline {\text{A}} \overline {\text{B}} } \right){\text{C}} + \overline {\text{A}} \left( {{\text{B}} + \overline {\text{C}} } \right) + \overline {\text{A}} {\text{B}} + {\text{ABC}}$$           is

54.
A counter is designed using J-K Flip-Flop as shown in figure Define its count sequence
Digital Electronics mcq question image

55.
When signed number are used in binary arithmetic, then which one of the following notations would have unique representation for zero?

56.
A S-R flip flop with a clock input can be converted to a 'D' flip flop using

57.
A 2 × 2 ROM array is built with the help of diodes as shown in the circuit below. Here W0 and W1 are signals that select the word lines and B0 and B1 are signals that are output of the sense amps based on the stored data corresponding to the bit lines during the read operation.
During the read operation, the selected word line goes high and the other word line is in a high impedance state. As per the implementation shown in the circuit diagram above, what are the bits corresponding to Dij (where i = 0 or 1 and j = 0 or 1) stored in the ROM?
Digital Electronics mcq question image

58.
Boolean expression $$\overline {{\text{A}} + \overline {\text{B}} + {\text{C}}} + \overline {\overline {\text{A}} + \overline {\text{B}} + {\text{C}}} + \overline {{\text{A}} + \overline {\text{B}} + \overline {\text{C}} } + {\text{ABC}}$$         reduces to

60.
Simplification of the function $${\text{f}} = \overline {{\text{AB}}} + \overline {\overline {\text{A}} + {\text{B}}} $$    is:

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