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 representation of a number in IEEE 754 single-precision floating point format with a bias of 127.

S: 1 E:   10000001    F : 11110000000000000000000

Here S, E and F denote the sign, exponent and fraction components of the floating point representation.

The decimal value corresponding to the above representation (rounded to 2 decimal places) is ______

Consider three registers R1, R2 and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively.
If R3 = $${{R1} \over {R2}}$$, what is the value stored in R3?