PYQs

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

[2006, 6M]

2) If \((A B, C D)_{16}=(x)_{2}=(y)_{8}=(z)_{10}\), 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:
\(\quad {101110010.10010}\).

[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]