a.
Explanation of Solution
Encode the sentence Does
The ASCII code is a set of character which stands for “American Standard Code for Information Interchange”.
Even parity: Even parity is set to
- To encode the sentence use the ASCII code table as shown below:
- Convert the sentence in the hexadecimal notation from the above table.
- To represent the hexadecimal notation in bit pattern, convert the hexadecimal notation into bit as shown below.
- Convert bit pattern into even parity bit pattern which is shown below
b.
Explanation of Solution
The total cost is
The ASCII code is a set of character which stands for “American Standard Code for Information Interchange”.
- To encode the sentence use the ASCII code table as shown below:
- Convert the sentence in the hexadecimal notation from the above table.
- To represent the hexadecimal notation in bit pattern, convert the hexadecimal notation into bit as shown below.
- Convert bit pattern into even parity bit pattern which is shown below
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Computer Science: An Overview (12th Edition)
- The ASCII code for the letter A is 1000001, and the ASCIIcode for the letter a is 1100001. Given that the ASCII codefor the letter Q is 1010001, without looking at Table 2.7,what is the ASCII code for the letter q?arrow_forward4. Use frequencies : a : 0.6 b: 0.16 What is the average number of bits required to encode a character ? Huffman coding to encode these symbols with given c: 0.31 d : 0.12 e : 0.20 f: 0.15arrow_forward4. 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?arrow_forward
- 2. Convert the IEEE 754 single precision binary representation to a decimal number 1001 1001 1011 0000 0000 0000 0000 0000 Note: make sure that in final answer the fraction is in base 10 (at most 3 digits). You don't need to change the power of 2 in a power of 10.arrow_forwardThe number -82 is represented as an integer with respect to the complement of 2 in 32 bits. According to this, a) If we rotate this number 8 bits to the left, what will be the result, show it in hexadecimal format? b) If we rotate this number 4 bits to the right, what will be the result, show it in hexadecimal format?arrow_forwardConsider a floating point format that uses 4 digits in the significand including the leading 1. In other words, the significand is given by (1.d₁d2d3)2. (a) Assuming you have enough bits in the exponent, compute fl(25.75) for this floating-point format. (b) How many significant digits is fl(25.75) accurate to? (c) How many bits are needed in the exponent such that computing fl(25.75) will not result in nu- merical overflow?arrow_forward
- The following is a string of ASCII characters whose bit patterns have been converted into hexadecimal for compactness: 73 F4 E5 76 E5 4A EF 62 73. Of the eight bits in each pair of digits, the leftmost is a parity bit. The remaining bits are the ASCII code. Convert the string to bit form and decode the ASCII.arrow_forwardConvert the BCD NUMBER 0001 1001 0011 0110 . 1001 0011 0111 0101 to BINARY number showing the steps (Note : The problem should be solved in separate paper with steps and scanned copy should be submitted along with other answers The final answer must be entered in the boxes below. For the binary number, enter only one bit in a box and fill the unused boxes if any, with zeros) Decimal No. = Integer part (binary) = Fractional part (binary)=arrow_forward7. A pair of 7-bit floating point formats, based on the IEEE standard, is described below: • Format (a) has k = 3 and n = 4. The exponent bias is 3. Format (b) has k = 4 and n = 3. The exponent bias is 7. (a) Convert the bit patterns below, given in format (a) to bit patterns in format (b). Convert exact values when possible, otherwise use the round-to-even rule. Also, write the values of each bit pattern, for the (a) and (b) formats. Write the values, in decimal, as rational numbers, or whole integers. Bits (a) Value Bits (b) Value 1 0111 000 011 0000 101 1010 110 1011 000 0011 1 (b) What is the smallest positive denormalized number in format (b)? What is the largest positive denormalized number in format (b)?arrow_forward
- Repeat "List the ASCII code for the 10 decimal digits with an even parity bit in the leftmost position." with odd parity.arrow_forwardScenario: In a biased N-bit binary number system with bias B, positive and negative numbers are represented as their value plus the bias B. For example, for 5-bit numbers with a bias of 15, the number 0 is represented as 01111, 1 as 10000, and so forth. Biased number systems are sometimes used in floating point mathematics. Consider a biased 8-bit binary number system with a bias of 12710 Question: What is the representation and value of the most negative number?arrow_forwardHuffman Coding and Phrases Use the following chart to answer problems 15-19. 15. Calculate the total number of bits per character. Record your answers in the chart. Character Code Frequency Bits A 000 2 E 001 H 010 1 K 011 1 M 100 101 1 R 110 2 S 111 1 T 1000 4 U 1001 1 space 1010 4 What are the total bits in the original code? Use Huffman Coding to compress the following phrase: “MEET ME AT THE SUPERMARKET". Draw the Huffman Coding tree in the space provided below. Hint: You can use the Shape tool to draw the graph, or you can draw the graph by hand, then photograph or scan your graph to submit it.arrow_forward
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education