Question

2. The equation (5BC)16 =(x)2 =(y)s, value of x and y
are
(a) x=011010111100, y = 3274
(b) x = 011101101011, y = 3268
(C) x = 011011100110, y = 3274
(d) x = 010110111100, y = 2674

Answer 1

Explanation:

Given:

$(5BC)_{16} =(x)_2 =(y)_8$

To find: Value of x and y are

(a) x=011010111100, y = 3274

(b) x = 011101101011, y = 3268

(C) x = 011011100110, y = 3274

(d) x = 010110111100, y = 2674

Solution:

Hexadecimal to binary: For x

We know that a hexadecimal number is formed by pairing 4 binary digits.

Hexadecimal Binary

5____________0101

B____________1011

C____________1100

Thus,

$(5BC)_{16} =(010110111100)_2$

Binary to octal: For y

To convert the binary equivalent into octal,make pair of 3-3 binary digits from right to left,fill 0 in MSB

010 110 111 100

Convert into respective octal equivalent

Binary Octal

010_____2

110______6

111______7

100_____4

$(010110111100)_2=(2674)_8$

Final answer:

Option D is correct.

x = 010110111100, y = 2674

Hope it helps you.

To learn more on brainly:

Convert 1010010110011 to HEXADECIMAL and OCTAL

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add (110.01)2 and (1.011)2 find decimal values

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