Find the sum of all the digits in your date of birth and then do the following: (a) Convert the sum into 32-bit binary. (b) Convert the sum into 32-bit, IEEE-754 single precision floating point format. For example, if your date of birth is 15-8-2001, then the sum of its digits would be 17. You should convert it into 32-bit binary and single precision floating point formats.
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A: The answer for the given question is given below:
Find the sum of all the digits in your date of birth and then do the following:
(a) Convert the sum into 32-bit binary.
(b) Convert the sum into 32-bit, IEEE-754 single precision floating point format.
For example, if your date of birth is 15-8-2001, then the sum of its digits would be 17. You should
convert it into 32-bit binary and single precision floating point formats.
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- ___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number -6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111100 01100000000000000000000(Hint: remember to use the biased form of the exponent.)This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number 6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111110 01100000000000000000000
- In each of the following you are given a bit sequencecorresponding to the IEEE single precisionrepresentation of a floating-point number. In eachcase determine the base 2 floating-point representationof the number and also the base 10 decimalrepresentation of the number: 010000010001101000000000000000007. 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. 1101 0110 + 1001 0111 -------------- Overflow? Yes or No Carry? Yes or NoPlease 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.
- 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 10What is the number of bits needed to represent the double of a number represented in 5 bits in the binary system? Please Show working out - in stepsFor each number, perform the following bitwise operations. You don't have to show work for each conversion. Format your answers in the following ways, points will be deducted if answers are not formatted correctly. Answers are numbered. Write all hexadecimal numbers using the 0x notation to differentiate between other number systems. Write all binary numbers in groups of 4 bits XXXX XXXX or groups of 8 bits XXXXXXXX Given the following signed 8-bit binary number: 1110 0101What are the two possible binary numbers after shifting 3 bits to the right? What is the result of (~142) in unsigned 8-bit binary? Hint: Convert 142 to binary then perform one's complement. Please answer 1 and 2.
- 1) 0xBEAD (in hex) can be written in decimal (base 10) as: 2) 23.2578125 (decimal) is expressed in binary (base 2) as: Do no use any spaces within your representation. Use 8 bits to represent the integer part, and an additional 8 bits to represent the fractional parts (i.e., 8 bits before the radix point and after the radix point).Show the binary sequence of the number (1111001.01)binary in IEEE 754 64bit floating point format.- What is the exponential part in decimal and binary?- What happens to the number part binary? (Although you don't show the rightmost zeros)- How does the whole number appear in binary? (Although you don't show the rightmost zeros)Please solve only 4 part rest are already answered This problem covers floating-point IEEE 754 format. 1)List four floating-point operations that cause NaN to be created? 2) In the 32-bit (single precision) IEEE 754 format, what is the encoding for negative zero? 3) In the 32-bit (single precision) IEEE 754 format, what is the encoding for positive infinity? 4) Assuming 32-bit (single precision) IEEE 754 format, what decimal number is represent by this word: 1 01111101 00100000000000000000000