Assume we are using the simple model for floating-point representation discussed in the c epresentation uses a 14-bit format, 5 bits for the exponent with an Excess-M, a significan nd a single sign bit for the number): Convert 12.345 to the floating-point binary representation. (Remember we learned "implie ormat in the lecture) You need to type in the calculation steps or insert the picture of your handwriting using "I

Assume we are using the simple model for floating-point representation discussed in the c epresentation uses a 14-bit format, 5 bits for the exponent with an Excess-M, a significan nd a single sign bit for the number): Convert 12.345 to the floating-point binary representation. (Remember we learned "implie ormat in the lecture) You need to type in the calculation steps or insert the picture of your handwriting using "I

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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To be completed after lecture on Monday or after watching the first Floating Point video: Take the values 12345 x 10-12 and -12345 x 1037 And encode them in a system that uses the format SEEMMMMM with the following biases: Bias of 47, 25, and 32. (you will have six values when you are done)
I just posted the question and got an answer, but it was not an understandable answer.What I want is the explanatory results of the binary floating point representation and the rounded value parts.help me please
Perform the multiplication of the following two floating point numbers using the simple floating point format :(-0.75*23)*(-0.625*22) . Do the calculation in base 10 and comment on the accuracy of your calculation.
There are 2 numbers, X and Y in single-precision floating point representations. X=45B20000 and Y=B66C0000. Perform the multiplication operation on the two numbers using the floating-point number multiplication algorithm (the result is still in the floating-point format). Then convert each of them: X, Y and the results to a decimal number (fixed point).
The Famous Gauss You must know about Gauss, the famous mathematician. Back in late 1700’s, he was at elementary school. Gauss was asked to find the sum of the numbers from 1 to 100. The question was assigned as “busy work” by the teacher. He amazed his teacher with how quickly he found the sum of the integers from 1 to 100 to be 5050. Gauss recognized he had fifty pairs of numbers when he added the first and last number in the series, the second and second-last number in the series, and so on. For example:(1 + 100), (2 + 99), (3 + 98), ..., (50 + 51). Each pair has a sum of 101 and there are 50 pairs. History repeats itself. Jojo’s teacher assign a “busy work” to the students. The teacher believes that there will be no shortcut to finish this task in a minute. The teacher gives N integers A1, A2, ..., AN to the students. The teacher also gives Q questions. Each question contains two integers L and R asking the sum of all Ai where L <= Ai <= R. As a good friend of Jojo, help Jojo…
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,…
4. 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?
The binary string 11001111101001 is a floating-point number expressed using the 14-bit simple model given in your text. What is its decimal equivalent? Note: in the 14-bit simple model, the left-most bit is the sign, followed by 5 bits for the exponent, followed by 8 bits for the mantissa (There are no implied bits). The exponent is in Excess 15 notation.
Perform the following additions. The numbers are in binary: 1) 1011 +0001 2) 00101110 +10010010 Repeat problem, this time convert the binary numbers to decimal, then perform the addition of the two decimal numbers. Convert the sum into binary representation and compare the results.
Droids on the planet Tatooine perform calculations in base-6. What is the largest base-6 number that can be represented with three distinct digits? (Each digit in your base-6 number must be different.) Convert your answer to decimal (base-10).
Q3. In Floating Point representations, answer the following questions showing all the steps: (Use the IEEE 754 standard for all) (showing all the steps used): (35 points) a) Write down the binary representation of the decimal number - 19.625. b) What decimal number does the bit pattern Ox0C000000 represent if it is a floating-point number? c) What number is represented by the following single precision float (single Precision): 11000000101000...0000 d) What number is represented by the following single precision float (single Precision):11000001110000000000000000...0000
1. Fill in the blanks (1) For the decimal number 36, its binary number is 111, its hex number is 【2】, and its BCD number is 【3】. (2) If the binary number is 1010 0101, then its 1's complement is 【4), the 2's complement is 【5】. (3) The ASCII code for '5' is [61, the ASCII code for character 'B' is_【7】. (4) In microcomputer there are three types of buses, they are [81,data bus, and [191. (5) If CS=2500H, DS=3200H, SS=4300H, IP=2200H, SP-3000H, the physical address of the next instruction to be executed is 【10】 and the logical address of current stack top is 【1】 (6) For instruction MOV AX, [BX+6], the addressing modes of source operand is 【121, and the addressing modes of destination operand is 【13】. (7) For CPU 8088, when 16-bit data is pushed onto the stack, the stack pointer SP is [14], (increased by 2, decreased by 2) but when 16-bit data is popped off the stack, the stack pointer SP is 【15】 .(increased by 2, decreased by 2) (8) After the instructions MOV AX, 2500H and ADD AX, 2300H…