Choose the correct one from among the alternatives A, B, C, D after matching an item from Group 1 with the most appropriate item in Group 2.

Group1
P. shift register
Q. Counter
R. Decoder

Group2
1. Frequency division
2. Addressing in memory chips
3. Serial to parallel data conversion

A master slave flip-flop has the characteristic that

The minimum number of 2 to 1 multiplexers required to realize a 4 to 1 mutliplexer is

A Boolean function 'f' of two variables x and y is defined as follows: f(0,0)=f(0,1)=f(1,1)=1;f(1,0)=0 Assuming complements of x and y are not available, a minimum cost solution for realizing F using only 2-input NOR gates and 2-input OR gates (each having unit cost) would have a total cost