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- B14. The bfloat16 "brain floating point" format is a 16 bit format used in Google's machine learning and AI software. It is a binary floating point format which is very similar to the single precision IEEE-754 format: 1 bit is allocated for the sign, 8 bits for the exponent with a bias of 127, but only 7 bits are allocated for the fraction (the exponent is always chosen so that the first digit of the mantissa is 1, and then only the fraction is stored in memory). (a) What is the approximate decimal precision of a brain floating point? (b) If the bits are stored in the order: sign, exponent, fraction, and 0 corresponds to a positive sign, then calculate the decimal representation of the number stored as 1 00000110 0100010 (c) Given that the largest exponent actually used for numbers is 11111110, what is the largest number that can be expressed as a bfloat 16? (d) Supposing that numbers are truncated (rounded down), what is the maximum absolute rounding error in bfloat16?C program A decimal number between 0 and 32 exclusive can be expressed in binary system as x4x3x2x1x0, where xi ’s are either zero or one. Write a C program that accepts (from the terminal) a decimal number in the above range and prints out the equivalent binary representation.
- Write a mipscode for the function that evaluates and prints the sum of the numbers between two number For example : if the two number were 2 and 5 the result would be 14The following c# application builds a BitArray of five Byte values (1,2,3,4,5) and shows each byte in its correct binary form:Convert the following infix expression to postfix and prefix expression.K+L-M*N+(O^P)*W/U/V*T+Q
- A barcode scanner for Universal Product Codes (UPCS) verifies the 12-digit code scanned by comparing the code's largest digit (called a check digit) to its own computation of the check digit from the first 11 digits as follows: 1. Calculate the sum of the digits in the odd-numbered positions (the first, third,... eleventh digits) and multiply this sum by 3. 2. Calculate the sum of the digits in the even-numbered position (the second, fourth...tenth digits) and add this to the previous result. 3. If the last digit of the result from step 2 is 0, then 0 is the check digit. Otherwise, subtract the last digit from 10 to calculate the check digit. 4. If the check digit matches the final digit of the 12-digit UPC, the UPC is assumed correct By using C++ write a program that prompts the user to enter the 12 digits of a barcode separated by space. The program should store the digits in an integer array, calculate the check digit, and compare it to the final barcode digit. If the digits match,…Implement the following error detection and error correction algorithms using C programming for Hamming code. For Hamming codes, flip a bit in the data and implement the algorithm to correct the same on the receiver side.In a given 32-bit floating-point representation of numbers, if the number of bits of the mantissa is reduced to accommodate an increase in the number of bits of the exponent, this will result in the following: (select the best answer) Increased range of the numbers at the expense of the precision Increased precision of the numbers at the expense of the range Both range and precision increase Both range and precision decrease
- //The language is C++ Implement an algorithm to print all possible values of 32-bit unsigned integer one-bit position set. The output should look like. 1 2 4 8 16Please write final result in same loacation specific in imageFloating point calculation: a Show the IEEE 754 representation for the decimal value -0.375 in single precision b. Find the decimal representation for the following single precision floating point number 1011,1111,0111,0000,0000,0000,0000,0000 c. Perform the addition and multiplication of the two floating point numbers in (a) and (b) in binary scientific notation, and represent the sum and product in single precision.