Take into consideration the binary BCH code, which is 127 bits long and has a distance of 6 bits intended for it, and use the binary field extension F 128, which is 128 bits in size. How big is the code, and can you guarantee a certain minimum distance between entries?
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- Consider the decimal number (-48.325). Write down binaryrepresentation of this number using the IEEE 745 single precision format. Clearly specify “Sign”, “Exponent” and “Mantissa” fields of the single precisionrepresentation.A botanist is doing fieldwork assigns an eight-character alphanumeric code to each sample collected. The first character must be 6, 7, or 8; the next three characters can be any capital letter, A through Z; the fifth character could be any digit except for 0; and the rest of the characters can be any capital letter, B through K. Digits and letters can be repeated. Determine how many possible ID numbers there are using the fundamental counting principle, and explain each step. Show work for all steps ThanksConsider the following binary number: 1.11000000000000000000100. What are the values of guard, round , and sticky bits after 8 right shifts? The encoding of the options is (guard)(round)(sticky). For example, if guard bit is 1, round is 0, and sticky bit is 0, the encoding is 100. 100 001 00 010 Arrange the steps involved in floating point multiplication. The first step must be at the top and the last step must be at the bottom. You can assume that the result is still normalized after rounding. Start 1 | Multiply the significands 2 E Set the sign of the result 3 | Check for overflow or underflow. If true, flag an exception, otherwise continue. 4 E Subtract bias from the sum | Add biased exponents of the two numbers 6 E Normalize the product, if needed 7 | Round the significand Done
- A binary code uses ten bits to represent each of the ten decimal digits. Each digit is assigned a codeof nine 0’s and a 1. The code for digit 6, for example, is 0001000000. Determine the binary code forthe remaining decimal digits.What is the Huffman code for a string consisting entirely of letters from a two-character alphabet? Give an example of the most bits that might be utilised in a Huffman code for an N-character string whose characters are all from a two-character alphabet.I am trying to get the range of bits from a number. For example , if I call bitRange(0x00001234, 0 , 4). I will get 0x00000004; 0x00001234 is the number i want to the range of bits from. 0 is the starting position. 4 is the number of bits to get from the number.
- a. Give an example of a value that can't be represented in 32-bit IEEE because it doesn't have a finite representation in binary. Explain (i.e. show that it doesn't have a finite representation). b. Give an example of a value that can't be represented in 32-bit IEEE because it's out of the range of values that can be represented in this format. Explain (i.e. show that this value is out of the range of expressible values of 32-bit IEEE 754).You are working on a project to build a temperature control system for an industrial machine. The machine should only operate between positive 20-150 Fahrenheit, but we need to show the operator the temp range negative 20 through positive 300. 1. What level of numeric precision can we get using only a single byte of memory? 2. Using the same project as question #1. What binary number would represent positive 20 degrees?Consider a 16 bit FPN (floating point number). Here the exponent is in excess-63 form and mantissa is the fraction. Base of the system is 2. It is used to store (0.239) X 23. 1. In the above question, what will be the hexadecimal pattern, which denote the given value without normalization. Write the complete steps used for calculation. 2. What is the largest positive and the smallest positive number stored in the 16-bit register of the FPN? Cleary explain what will be the values of mantissa and exponent in the case of largest and smallest positive number with proper justification.
- A certain picture is constructed of a matrix of dots of color which have been created by mixing 3 primary colors of ink, where each ink color can have one of 320 different amounts (i.e. different intensities). If the picture has 106 x 106 dots of color, then what is the minimum number of Bytes (in kB to one decimal place) it would take to store a digitized image of this picture?The Hi-Fi modem company has designed a new frequency modulation that can transmit 38400 bits/sec. The baud rate is 4800. How many frequency levels can each interval have? 3. 4. Given a location with 7 bits what is the minimum and maximum value that it can hold A) As an unsigned location B) As a signed locationuppose that we use the floating-point format with 12 decimal digits , SEEEMMMMMMMM , to rep- resent a real number, where S is the digit to represent the sign of the mantissa (use 0 for pos- itive and 5 for negative), EEE are the 3 digits to represent the exponent in excess-500 format, MMMMMMMM are the 8 digits to represent the magnitude of the mantissa, and the decimal point of the mantissa is right to the left of MMMMMMMM (i.e., SEEEMMMMMMMM representing the real number ± 0 . MMMMMMMM × 10^EEE − 500 .) Largest Positive Number = 0.99999999x 10^499 Second Largest Positive Number = 0.99999998 x 10^499 How much less is the second largest number compared to the largest number? Can you represent a number located somewhere between the largest number and the second largest number?