Find the sum of all the figits in 15/1/2001 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.
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A: As per bartleby guidlines we are allowed to answer only one question.
Find the sum of all the figits in 15/1/2001 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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- 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 01100000000000000000000Find 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 shouldconvert it into 32-bit binary and single precision floating point formats.
- 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 00100000000000000000000Suppose A = -14 and B = +6 (both in base 10) C=A*B What is the resulting product of your previous multiplication in FP decimal representation (simply use a decimal point)? Take the result you just produce and shift it by three digits to the right of the decimal point (e.g., if your number was 12.0 it now becomes 0.012). Now, express your shifted result as a single precision FP number using the IEEE 754 standard for single precision (of course you need to convert the number from decimal to binary). Please do not calculate more than the first 8 fraction bits.a The binary numbers shown below are 4-bit 2's complement binary numbers. Which of the following operations results in an overflow? Justify your response by converting the operands and results to decimal. a. 1111 plus 0111 b. 1001 - 0011 c. 0111 plus 0110
- For 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.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 No
- // Task 3 // For this function, you must return the largest power of 2 that // is less than or equal to x (which will be positive). You may // not use multiplication or some sort of power function to do this, // and should instead rely on bitwise operations and the underlying // binary representation of x. If x is 0, then you should return 0. unsigned largest_po2_le(unsigned x) { return x; }2. Convert the following binary numbers to floating point format. Assume a binary format consisting of a sign bit (negative = 1), a base 2, 8-bit, excess-128 exponent, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa.a. 110110.011011b. −1.1111001c. 0.1100×236d. 0.1100×2−36You may express the decimal number 30 in one of the following ways to get its equivalent in 8-bit binary form: The complement of a number is the number that is the complement of the number that is the opposite of that number (a) Excess-M:?