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- A(n) __________ is an integer stored in double the normal number of bit positions.Convert IEEE Single-Precision Binary Format Real number 11000100101001000010101000000000 to decimal. Please show all the steps. a) [1] What is the sign? b) [1] What is the biased exponent value? c) [1] What is the unbiased exponent value? d) [2] What is the normalized representation of the number in BINARY? e) [1] What is the unnormalized representation of the number in BINARY? f) [1] What is the decimal value of the whole number part of the number? g) [2] What is the decimal value of the fractional part of the number? h) [1] What is the real number in base 101) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?
- 1)Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?1) Answer the following questions: What is the greatest magnitude negative number one can represent in n-bit 2'scomplement code? 2)Show the 8-bit binary signed-magnitude representation for the following decimalnumbers: -109 10 +43 10 3)Perform the following additions and subtractions. Assume the numbers arestored in signed-magnitude base 2 representation. -1010111 + -10011Please solve and show all work. Thank you. What is 5ED4 - 07A4 when these values represent unsigned 16-bit hexadecimal numbers? The result should be written in hexadecimal. Show your work. What decimal number does the bit pattern (0C000000)16 represent if it is a floating-point number? Use the IEEE 754 standard. Write down the binary representation of the decimal number 63.25, assuming the IEEE 754 double precision format. What are the corresponding MIPS instructions to this C code: C code: float f2c (float fahr) { return ((5.0/9.0)*(fahr - 32.0));} if fahr in $f10, result in $f2, literals in global memory space.
- Represent the following numbers to its 6-bit binary representation and perform binary subtractionusing 2’s compliment representation 50-30?Determine the gi, pi, Pi, and Gi values of these two 16-bit numbers: a: 0001 1010 0011 0011two b: 1110 0101 1110 1011two Also, what is CarryOut15 (C4)?8. Add the following two 8-bit binary numbers, producing an 8-bit result. Indicate the status of the carry and overflow bits at the end of the addition by circling the appropriate choices. The space in between is only for readability. 1111 0010 + 1101 0110 ----------- Overflow? Yes or No Carry? Yes or No
- Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model. 11000001000101101011100001010010 =Calculate (3.41700875 *10-3 + 6.34005625*10-3)* 1.25625* 102 by hand, assuming each of the values are stored in the 16-bit half precision format describedin in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to thenearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.Question 1 What is the radix representation of the fraction 1/3 in base 3? Question 2 Which of the following is the correct hexadecimal representation of the binary number 1011 1110 1110 1111? Question 3 In hexadecimal, F+1 = ? Question 4 What is the 4-bit twos complement representation of the decimal number -1? Question 5 In IEEE 754 floating point, 0.1+0.1+0.1 == 0.3 Question 6 Match the truth tables to the Boolean function. o Question x y 0 0 0 0 1 0 1 0 0 1 1 1 x y 0 0 0 0 1 1 1 0 1 1 1 1 x y 0 0 0 0 1 1 1 0 1 1 1 0 x y 0 0 1 0 1 1 1 0 1 1 1 0 Question 7…