4. Apply a block parity (horizontal and vertical) to the 4-byte data sequence given below. Assume even parity. 01101100 11001010 00010011 10110011
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Please assist with question 4 with details on how to do it. Thank you
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- To 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 00110010010100Question 7 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). 01011011001000 + 00111010000000 = ?Represent -3.125 using revised (normalized) 14-bit floating point representation.
- Calculate (3.41700875 *10-3 + 6.34005625*10-3)* 1.25625* 102 by hand, assuming each of the values are stored in the 16-bit half precision format describedin in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to thenearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.Perform floating points binary arithmetic addition on the following binary numbers as represented in a non- standard form. Assume 4 binary digits for significand A 1 bit 8 bits 9 bits + 1 bit 8 bits 9 bits 01111000 100111000 0111110 0 000101000 What is the value of biased exponent of A, Eb_a? What is the floating point representation of A? What is the value of biased exponent of B, Ep_B? What is the floating point representation of B? Sum A+B (Normalized)?Consider a 16-bit binary floating point number representation system: + SE E EEEE m m m m The first bit of the exponent is dedicated to its sign. Assume that the mantissa must start with a '1'. Use this system to answer the following questions: 1. What is the smallest (magnitude) number that can be represented with this system? 2. Calculate the relative round-off error introduced when this system tries to represent e = 2.718281828459045235360287 .. using rounding.
- Using the SEC-DED Hamming code given in class (for 4 bit words), determine whether there is no error, an error in one bit, or an error in two bits for the following 8 bit word fetched from memory. If there is an error in one bit, indicate which bit is in error. 0011 10112. Perform addition/subtraction on the following pairs of signed binary numbers indicating when overflow occurs. (a) 11111111 +11111000 (b) 01000000 +01000001 (c) 010101 - 101111 3. (a)Convert the following binary number to hexadecimal: (i) 10 1100 1010 1010 1001 (ii) 1001 0000 0001Using the Hamming code given in class for 8 bit data words, determine whether there is an error, and if so, in which bit, for each of the following words fetched from memory: 0010 0011 0010
- The number 12.410 is to be written using the closest 8-bit unsigned binary representation. i.Show, using a table of column weightings, that 1100.01102 represents the decimal value 12.37510. ii.Show, using a table of column weightings, that 1100.01112 represents the decimal value 12.437510. iii.Using your results from (i) and (ii) write down the 8-bit unsigned binary number and its decimal equivalent that gives the best approximation to 12.410. iv.Write the decimal number you wrote down in (iii) as a percentage of 12.4. Write your final answer as a percentage rounded to two decimal places.Show Steps Please 5. Compute the Hamming distance of the following code: 0011010010111100 0000011110001111 0010010110101101 0001011010011110 6. Suppose we are given the following subset of codewords, created for a 7-bit memory word with one parity bit: 11100110, 00001000, 10101011, and 11111110. Does this code use even or odd parity? Explain. 7. Given that the ASCII code for A is 1000001, what is the ASCII code for J? b. Given that the EBCDIC code for A is 1100 0001, what is the EBCDIC code for J? 8. Decode the following ASCII message, assuming 7-bit ASCII characters and no parity: 1001010 1001111 1001000 1001110 0100000 1000100 1001111 1000101MCQS so now carefully read the question and give the most appropriate answer. a) If the following binary number were to be represented in the IEEE-754 single precision floating point format, then what would be the value of the exponent field in binary. 10111010.0101 b) If the following binary number were to be represented in the IEEE-754 single precision floating point format, then what would be the binary value stored in the sign bit. 10111010.0101 c) Convert the decimal number 1.1 into its equivalent binary representation. d) The maximum value in hexadecimal that can be stored in a single byte is e) If the following binary number were to be represented in the IEEE-754 single precision floating point format, then what would be the binary value that would be stored in the significand part. 10111010.0101 f) The sum of the following two octal values, 77 and 56 can be expressed in octal as: