a) An 9-bit binary number is used to represent an analog value in the range from -10°C to 100°C, determine the resolution of the system and interprete your result. b) Use the appropriate binary representation of floating point numbers to represent each of the following as binary numbers. i) 13.2510 ii) 45.7510 iii) 90.510 iv) 77.12510 v) 125.2010

a) An 9-bit binary number is used to represent an analog value in the range from -10°C to 100°C, determine the resolution of the system and interprete your result. b) Use the appropriate binary representation of floating point numbers to represent each of the following as binary numbers. i) 13.2510 ii) 45.7510 iii) 90.510 iv) 77.12510 v) 125.2010

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

See similar textbooks

Similar questions

Assume 161 and 214 are signed 8-bit decimal integers stored in two’scomplement format. Calculate 161 – 214 using saturating arithmetic. The result should be written in decimal.
a) Assume 185 and 122 are unsigned 8-bit decimal integers. Calculate 185 – 122. Is there overflow, underflow, or neither? b) Assume 185 and 122 are signed 8-bit decimal integers stored in signmagnitude format. Calculate 185 + 122. Is there overflow, underflow, or neither? c) Assume 185 and 122 are signed 8-bit decimal integers stored in signmagnitude format. Calculate 185 - 122. Is there overflow, underflow, or neither?
32) Let a = 1.0 × 29, b = − 1.0 × 29 and c = 1.0 × 21. Using the floating-point model described in the text (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number), perform the following calculations, paying close attention to the order of operations. What can you say about the algebraic properties of floating-point arithmetic in our finite model? Do you think this algebraic anomaly holds under multiplication as well as addition? b + (a + c) = (b + a) + c = Show Steps Please
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.)
(a) For the following two cases, please determine the radix r:(BEE)r = (2699)10(365)r = (194)10(b) Please add, subtract, and multiply in binary:100100 and 10110(c) Please add the following numbers in binary using 2’s complement to represent negative numbers.Use a word length of 6 bits (including sign) and indicate if an overflow occurs:(-11) + (-4) = ?11 + 9 = ?(-10) + (-6) = ?(d) Assume the following three cases are correct and assume three digits are used to represent positiveintegers. Determine the base of the numbers. Did any of the additions overflow?654 + 013 = 000024 + 043 + 013 + 033 = 223024 + 043 + 013 + 033 = 201
EX.3:Convert four last digits (suppose that each digit is the hexadecimal number) in your roll number to binary.Example: if your roll number is HE162491, then four last digits in your roll number are 2491. So, in binary form you will have: 0010 0100 1001 0001a. Encoding each block of 8 bits with Hamming Code (12, 8). b. Using any one encoded block in [a] and modify to one bit error. Explain how to correct error bit?
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. 0.1100×2−36
1.37 Because A − B = A + (−B), the subtraction of signed numbers can be accomplished by adding the complement. Subtract each of the following pairs of 5-bit binary numbers by adding the complement of the subtrahend to the minuend. Indicate when an overflow occurs. Assume that negative numbers are represented in 1's complement. (b) 11010 −11001 (c) 10110 −01101 Repeat the question using 2's complement to represent negative numbers.
Show Steps Please 19. Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number): a) Show how the computer would represent the numbers 100.0 and 0.25 using this floating-point format. b) Show how the computer would add the two floating-point numbers in part a by changing one of the numbers so they are both expressed using the same power of 2. c) Show how the computer would represent the sum in part b using the given floating-point representation. What decimal value for the sum is the computer actually storing? Explain.
7) Do the following conversion problems correctly:(a) Convert decimal 27.315 to binary.(b) Calculate the binary equivalent of 2/3 out to eight places. Then convertfrom binary to decimal. How close is the result to 2/3?(c) Convert the binary result in (b) into hexadecimal. Then convert the resultto decimal. Is the answer the same?
Question 6 a) The IEEE Standard 754 representation of a floating point number is given as: 01101110110011010100000000000000. Determine the binary value represented by this number. b) Convert each of the following 8-bit two’s complement binary values to decimal. i) 10110111(base 2) ii) 01001101(base 2) iii) 11010111(base 2) iv) 01110111(base 2) c) Discuss the differences between static RAM and dynamic RAM
1. Let x be the first two digits of your matric number (group leader), y be the last two digits of your matric number, and define z as x.y If the first digit of y is 0, replace it with 7. Example: Suppose your matric number is 2013104. Thus, x=20, y=74 and z=20.74 determine the IEEE-754 single precision floating-point numbers of decimal value x.y Explain each step.