In a system, numbers are represented using 4-bit two's complement form. Consider four numbers $N 1=1011, N 2=1101, N 3=1010$ and $N 4=1001$ in the system. Which of the following operations will result in arithmetic overflow?

The 32-bit IEEE 754 single precision representation of a number is 0xC2710000. The number in decimal representation is $\_\_\_\_$ . (rounded off to two decimal places)

Consider the following 4-variable Boolean function

$$ F(A, B, C, D)=\Sigma m(0,1,2,3,8,9,10,11) $$

Consider $A$ as MSB, $D$ as LSB. Which one of the following options represents the minimal sum of products form for the above function?

Note: + is OR operation, • is AND operation, ' is NOT operation

Consider the digital circuit shown below with two input lines A and B, two select lines S 0 and S 1 , and an output line Y . The blocks Q and M represent active high $2: 4$ decoder and 4-to-1 multiplexer, respectively. Out of 16 possible input combinations, the number of combinations that produce $\mathrm{Y}=1$ is $\_\_\_\_$ . (answer in integer)

Note: One input combination is an instance of [A B S1 S0].