Programming Assignment 2 Decimal and IEEE-754 ConversionsObjective: To write a C program (not C++) that converts numbers between Decimal and IEEE-754 format and vice versa. Inputs: • Number in Decimal format (including special case of 0) • Number in IEEE-754 format (including special cases)Output: • Equivalent number in IEEE-754 format • Equivalent number in DecimalSpecification:The program converts a number based on choosing from a menu of choices, where each choice calls the appropriate procedure, where the choices are:1) Decimal to IEEE-754 conversion 2) IEEE-754 to Decimal conversion 3) Quit programSpecial Cases The program must also check for these special IEEE cases: • + 0 • -0 • + infinity • - Infinity • NaNSample test runThis sample run contains all possible cases that will be tested, either individually, in their own Test Bench, or combined in a single Test Bench. Test Inputs These are the input test values. They do not appear on the output of the run.1 2.5 2 40200000 1 0 2 -126 2 3Test OutputFloating-point conversion:1) Decimal to IEEE-754 conversion 2) IEEE-754 to Decimal conversion 3) ExitEnter selection:Enter the decimal representation:*** Sign: 0 *** Biased exponent: 10000000 *** Mantissa: 01000000000000000000000 *** IEEE HEX: 40200000Floating-point conversion:1) Decimal to IEEE-754 conversion 2) IEEE-754 to Decimal conversion 3) ExitEnter selection:Enter the IEEE-754 representation:*** Sign: + *** Unbiased exponent: 1 *** Normalized decimal: 1.250000 *** Decimal: 2.500000Floating-point conversion: -1) Decimal to IEEE-754 conversion 2) IEEE-754 to Decimal conversion 3) ExitEnter selection:Enter the decimal representation:*** Sign: 0 *** Biased exponent: 00000000 *** Mantissa: 00000000000000000000000***The IEEE-754 representation is: 0.000000Floating-point conversion:1) Decimal to IEEE-754 conversion 2) IEEE-754 to Decimal conversion 3) ExitEnter selection:Enter the IEEE-754 representation:*** Sign: - *** Special case: NaNFloating-point conversion:1) Decimal to IEEE-754 conversion 2) IEEE-754 to Decimal conversion 3) ExitEnter selection:Enter the IEEE-754 representation:*** Sign: - *** Special case: NaNFloating-point conversion:1) Decimal to IEEE-754 conversion 2) IEEE-754 to Decimal conversion 3) ExitEnter selection:*** Program Terminated Normally"Assignment 2 Skeleton"#include #include //void "OPTION #1"(){ /* declare local variables */ /* prompt for floating point decimal number */ /* Check for 0--if so, print result */ /* Print sign: if number>0, sign is 0, else 1 */ /* take absolute value of number before generating significand */ /* Normalize number: while number >2, divide by 2, increment exponent while number <1, multiply by 2, decrement exponent */ /* Bias exponent by 127 and print each bit in binary with 8-iteration for-loop*/ /* Hide 1 and print significand in binary with 23-iteration for-loop*/ /* Print IEEE-754 representation */return;}//void "OPTION #2"(){/* declare local variables *//* prompt for IEEE-754 representation */ /* check for special cases: 0, -0, +infinity, -infinity, NaN, if so, print and return */ /* Mask sign from number: if sign=0, print "+", else print "-" */ /* Mask biased exponent and significand from number */ /* If biased exponent=0, number is denormalized with unbiased exponent of -126, print denormalized number as fraction * 2^(-126), return */ /* Unbias exponent by subtracting 127 and print */ /* Add hidden 1 and print normalized decimal number */ /* Print decimal number */ return;}int main(){/* declare local variables *//* until user chooses to quit, prompt for choice and select appropriate function */return 0;}