Match List I (Question) with List II (Answer) and choose the correct answer from the options given below.

List I

i.How many ones are there in the binary representation of the decimal number 512

ii.If 1 kilobyte equals 2 to the power x bits, what is the value of x

iii.What hexadecimal value is obtained when the two hexadecimal digits A and B are added

iv.What is the denary (base 10) value of the binary number 00010100

List II

a.13

b.20

c.1

d.15

Ai-c, ii-d, iii-a, iv-b

Bi-b, ii-a, iii-d, iv-c

Ci-a, ii-c, iii-b, iv-d

Di-c, ii-a, iii-d, iv-b ✓ Correct

Correct answer: (D) i-c, ii-a, iii-d, iv-b

Explanation

The decimal 512 is 1000000000 in binary, which contains a single one, matching the answer one.

One kilobyte is 1024 bytes or 8192 bits, and 8192 is two to the power thirteen, so x is thirteen.

Adding the hex digits A and B gives ten plus eleven, which is twenty one in decimal or 15 in hexadecimal.

The binary 00010100 equals sixteen plus four, which is twenty in denary.

One kilobyte here uses the binary sense of 1024 rather than 1000 bytes.

Hexadecimal digits A to F stand for the decimal values ten to fifteen.

Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.