Let X=−123, n=8 (including 2 sign bit), then the complement of X is_______ .
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3).Let X=−123, n=8 (including 2 sign bit), then the complement of X is_______ .
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- The ASCII code has 128 binary-coded characters. If a computer generates 125,000 characters per second, determine the following: a) The number of bits (binary digits) required per character. b) The number of bits per second required to transmit the computer output, and the minimum bandwidth (Nyquist frequency) required to transmit this signal. c) For single error detection capability, an additional bit (called a parity bit) is added to the code for each character. Calculate your answers for part (a) and (b) again to accommodate the addition of the parity bit to each character.Consider a 32-bit hexadecimal number stored in memory as follows: Address Value 100 2A 101 C2 102 08 103 1B a) If the machine is big endian and uses two's complement representation for integers, write the 32-bit integer number stored at address 100 (you may write the number in hex). b) If the machine is big endian and the number is an IEEE single-precision floating-point value, is the number positive or negative? c) If the machine is big endian and the number is an IEEE single-precision floating-point value, determine the decimal equivalent of the number stored at address 100 (you may leave answer in scientific notation form, as a number times a power of two). d) If the machine is little endian and uses two's complement representation for integers, write the 32-bit integer number stored at address 100 (you may write the number in hex). e) if the machine is little endian and the number is an iEEE single-precision floating-point value, is the number positive or negative? f)…Represent -53.625 using 32-bit IEEE-754 floating point standard. Indicate Sign bit (1 bit), Biased Exponent bits (8 bits), and Fractional bits (23 bits). For the fractional bits, indicate just the first 9 bits out of 23. For example for 228 (slide 55 of chapter 5) your answer for the fractional bits would be 110010000. sign bit --> biased exponent --> first 9 fractional bits -->
- Scenario: 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?AsapConsider a single error correction (SEC) code that protects 8 bit words with 4 parity bits. In this case a parity bit for the entire word (pw) is added in order to provide double error detection (DED). Please assume even parity. a) Let us assume that you need to encode the following byte (the least significant bit is on the left side): Least significant bit 1 0 1 0 1 1 0 1 Use the figure below to show the encoded word. Bit position 1 2 3 4 5 6 7 200 8 9 10 11 12 13 Encoded data bits p1 p2 d1 p4 d2 d3 d4 p8 d5 d6 d7 d8 pw Encoded data → b) Let us assume that the encoded word (shown below) is read. Please determine if there is (are) error(s) in the word. If it is possible to correct, please correct. 1 2 3 4 5 6 9 10 11 12 13 7 8 p1 p2 HP d1 p4 d2 d3 d4 p8 d5d6 d7d8 pw 1 1 0 1 10 0 0 1 1 1 0 0 P1- P2= P4- P8= Pw= Please provide the information requested below. a) Please determine (either 0 or 1): P1=P2= P4= P8= and Pw= b) Please determine parity (odd or even): H parity= Now, determine if:…
- Consider a 7-bit floating-poin representation based on IEEE floating-point format. This format does not have a sign bit it can only represent nonnegative numbers. The first 4 bits represent the exponent bits (the exponent bias is 7). The last 3 bits represent fraction bits. Decimal values are encoded as a value of the form V = M x 2E Fill in the table below with the given floating point encoding for the given decimal value. If rounding is necessary, use round-to-even. In addition, you should give the rounded value of the encoded floating point number. Give these as whole numbers (e.g., 17) or as fractions in reduced form (e.g., 3/4). Decimal Value Binary Floating Point Representation Rounded Value 19/1024 0001 010 5/256 32/512 23/256 CS GmScanner ile tarandı 3.612To represent real binary numbers in floating point notation, we use a 14-bit format with 1 bit for the sign, 5 bits for the exponent, and 8 bits for the significand. Assuming an excess-16 exponent bias, and no implied 1 bit to the left of the radix point, the negative binary (real) number -0.0000100101 is represented as O 11010010010100 O 11110010010100 O 10110010010100 O 001100100101001. Consider a floating-point format that uses 8 bits of memory to store numbers: • 1 bit for the sign; 3 bits for the exponent; • 4 bits for the significand including the leading 1, i.e., significand is of the form (1.d₁d2d3)2. (a) Compute fl(23.375), the floating point approximation of 23.375 using rounding. (b) To how many significant digits is fl(23.375) accurate? (c) When would you get numerical underflow and overflow errors with this format? Note that we are not dealing with a shifted exponent. (d) What is the largest integer M such that every integer between 1 and M are exactly represented by this format? (e) How many numbers can be represented exactly by this format? 2.5 2 1.5 1 0.5 0 -1 g(x) --h(2) -0.5 0 X (a) Plot of g(x) and h(x). 0.5 0.5 0 -0.5 -1 -1.5 -0.5 0 X 0.5 (b) Plot of f(x) = 9x² - 4x/5 10
- Consider an 8-bit floating point format. In this representation 4 bits are reserved for the mantissa and 3 bits are reserved for the exponent and 1 bit is reserved for the sign of the number. The exponent of the number is stored with a bias = 3. Express the decimal number 4.75 in this 8 bit floating point format. Write down the next bigger representable number in decimal base. B If you would be conducting the following operation using this 8 bit floating point format what would the result of the following calculation be ? 4.75 + 0.05 - 4.75 Express the decimal number 4.75 in this 8 bit floating point format. [10] b) Write down the next bigger representable number in decimal base. [7.5] c) If you would be conducting the following operation using this 8 bit floating point format what would the result of the following calculation be ? 4.75 + 0.05 - 4.75If we wanted to find the value (1 or 0) of the third bit from the right (bitNum = 2) of variable x, we should: O int bit = x & 4; int bit = (x >> 3) & 1; int bit = x >> 3: int bit (x >> 2) & 1;What is the bandwidth of a signal that ranges from 2 MHz to 7MHZ? * 14 MHz 9 MHz 4 MHz 5 MHz Consider a noiseless channel with a bandwidth of 4kHz. If we want to transmit 32Kbps on this channel, the minimum number of signal levels needed is: * 8 О 16 32 64 describes the position of the waveform relative to time 0. * frequency amplitude phase voltage