2004

1) Convert:
(i) The decimal number $412$ to octal, to binary & finally to hexadecimal number
(ii) The hexadecimal number $F9A.BC3$ to a decimal number.

2) Write a BASIC program to evaluate ${\int }_2^5{\displaystyle \frac{dx}{1+x^2}}$ using Simpson’s $\frac{1}{3}$ rule with 20 subintervals.

2003

1.(i) Convert $ABCD$ hex and $76543$ octal to decimal. 1.(ii) Convert $39870$ decimal to octal and hexadecimal.

2) Write a programme in BASIC to integrate ${\int }_0^{10}(1-e^{-\frac{x}{2}})dx$ by trapezoidal rule for 20 equal sub-divisions of the interval $(0,10).$ Indicate which lines are to be changed for different integral.

3) Draw a flow chart and write a program in BASIC for an algorithm to determine the greatest common divisor of two given +ve integers.

2002

• Convert $(135.34{)}_8$ to decimal number and then convert the resulting decimal number to binary number.

• Write a BASIC Program to find:
  (i) the sum of first N natural numbers
  (ii) the factorial of a given number

2001

1) Convert the decimal number $(1479.25{)}_{10}$ to the binary and the hexadecimal numbers.

2) Write an algorithm for generating even integers $\le 100$. Also draw the flow chart which executes this algorithm.

2000

1) Draw a flow chart for finding the roots of the equation $a{x}^2+bx+c=0$.