PYQs

1) Given the number 59.625 in decimal system. Write its binary equivalent.

[2006, 6M]

2) If $(AB,CD{)}_{16}=(x{)}_2=(y{)}_8=(z{)}_{10}$, then find $x$, $y$ and $z$.

[2004, 6M]

3) In a 4-bit representation, what is the value of 1111 in signed integer form, unsigned integer form, signed 1’s complement form and signed 2’s complement form?

[2004, 6M]

4) Find the multiplication of the following binary numbers: 11001.1 and 101.1

[2003, 6M]

5) Convert the following binary number into octal and hexadecimal system:
$101110010.10010$.

[2003, 6M]

6) Convert $(100.85{)}_{10}$ into its binary equivalent.

[2002, 4M]

7) Multiply the binary numbers $(1111.01{)}_2$ and $(1101.11{)}_2$ and check with its decimal equivalent.

[2002, 8M]

8) Express the area of the triangle having sides of lengths $6\sqrt{2}$, 12, $6\sqrt{2}$ units in binary number system.

[2001, 6M]

1) Find the equivalent numbers given in a specified number to the system mentioned against them: (i) Integer 524 in binary system.
(ii) 101010110101.101101011 to octal system.
(iii) Decimal number 5280 to hexadecimal system
(iv) Find the unknown number $(1101.101{)}_8$ to $(?{)}_{10}$.

[2019, 15M]

2) Find the equivalent of numbers given in a specified number system to the system mentioned against them.

(i) $(111011.101{)}_2$ to decimal system
(ii) $(1000111110000.00101100{)}_2$ to hexadecimal system
(iii) $(C4F2{)}_{16}$ to decimal system
(iv) $(418{)}_{10}$ to binary system

[2018, 15M]

3) Convert the following decimal numbers to univalent binary and hexadecimal numbers:

(i) 4096, (ii) 0.4375, (iii) 2048.0625

[2016, 10M]

4) Compute $(3205{)}_{10}$ to the base 8.

[2011, 6M]

5) Find the hexadecimal equivalent of the decimal number $(587632{)}_{10}$.

[2010, 5M]

6) Find the decimal equivalent of $(357.32{)}_8$.

[2009, 6M]

7) Convert: (i) 46655 given to be in the decimal system into one in base 6.
(ii) $(11110.01{)}_2$ into a number in the decimal system.

[2007, 12M]

8) Given the number 3898 in decimal system. Write its equivalent in system base 8.

[2006, 6M]

9) Find the hexadecimal equivalent of $(41819{)}_{10}$ and decimal equivalent of $(111011.10{)}_2$.

[2005, 12M]