Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d₈d₇d₆d₅c₈d₄d₃d₂c₄d₁c₂c₁, where the data bits and the check bits are given in the following tables:

Data bits
d8	d7	d6	d5	d4	d3	d2	d1
1	1	0	x	0	1	0	1

 

c8	c4	c2	c1
Y	0	1	0

Which one of the following choices gives the correct values of x and y?

Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?

Consider the following Boolean expression.

$$F = (X + Y + Z)(\overline X + Y)(\overline Y + Z)$$

Which of the following Boolean expressions is/are equivalent to $$\overline F$$ (complement of F)?

Consider a 3-bit counter, designed using T flip-flop, as shown below:

Assuming the initial state of the counter given by PQR as 000, what are the next three states?