The following three questions are related to conversion of 100.00011 x 2° using IEEE 754 floating point standard: Question 21 (2 points) The exponent is: 1000 0101 1000 0100 1000 0010 None of the other options 1000 0000 Question 22 (2 points) The fraction is: 000 0000 0000 0000 0000 0011 111 1100 1111 1111 1111 1100
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- *All parts please* 2. (50 points) Binary Integer Arithmetic (a) (15 points) Given A = 1111 0011 1100 0011 1100 0000 0000 00002 and assuming A is a single precision IEEE-754 floating point number, what decimal value does A represent? Show A in normalized scientific notation: 1.X ∗ 2^Y. (b) (15 points) Convert 28.410 to IEEE-754 single-precision binary. (c) (20 points) Given X = 0100 0001 0110 1110 0000 0000 0000 00002 and Y = 0100 0001 1011 1100 0000 0000 0000 00002 in single precision IEEE-754 floating point numbers, perform the following operations. Show all your work and express the final answer in single precision IEEE 754-floating point representation. 1. X+Y 2. X*Y Hint: show each value in binary normalized scientific notation prior to performing the arithmetic. This should make following the algorithms easier.In an 8-bit binary number, which is the most significant bit (MSB)? What is the decimal representation of each of the following unsigned binary integers? 00110101 b. 10010110 c. 11001100 What is the sum of each pair of binary integers? 10101111 + 11011011 10010111 + 11111111 01110101 + 10101100 Calculate binary 00001101 minus 00000111. How many bits are used by each of the following data types? word doubleword quadword double quadword What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? 4095 65534 42319 What is the hexadecimal representation of each of the following binary numbers? 0011 0101 1101 1010 1100 1110 1010 0011 1111 1110 1101 1011 What is the binary representation of the following hexadecimal numbers? 0126F9D4 6ACDFA95 F69BDC2A Whatistheunsigneddecimalrepresentationofeachofthefollowinghexadecimalintegers? 3A 1BF 1001…a. What decimal number is represented by the following single precisionfloat?1 0111 1100 0110 0000 0110 0000 0000 000b. What decimal number is represented by the following single precisionfloat?1 0101 1100 0110 0010 0110 0000 0000 000c. How many bits are needed to represent 57B(Hex) in binary?
- The intuitive method for converting fractional values from base 2 to base 10 can be applied when computing fractional values from base 3 to base 10. Hence 0.12201 base 3 may be computed by which expression? a. (1 X 1/3) + (2 X 1/9) + (2 X 1/27) + (1 X 1/81) b. (1 X 1/3) + (2 X 1/9) + (2 X 1/27) + (1 X 1/243) c. (1 X 1/2) + (2 X 1/4) + (2 X 1/8) + (1 X 1/16) d. (1 X 1/2) + (2 X 1/4) + (2 X 1/8) + ( 1 X 1/32)Question P Both questions 5 a,b.and,c ) 5.A Convert the following unsigned binary numbers into the decimal form. a. 11 b. 1001 c. 10001 d. 1011001 B. Convert the following hexadecimal numbers into decimal form. a. AC b. DF0B c. 10B11 d. FDEAF1 C. Convert the following hexadecimal numbers into binary format. a. AC b. DF0B c. 10B11 d. FDEAF1 Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line. .Using a "word" of 4 bits, list all of the possible signed binary numbers and their decimal equivalents that are representable in: a) Unsigned integer, b) Signed magnitude, c) One’s complement, d) Two's complementBinary Unsigned IntegerSigned MagnitudeOne’sComplementTwo’s Complement0000000100100011010001010110011110001001101010111100110111101111
- This problem covers floating-point IEEE 754 format. 1)List four floating-point operations that cause NaN to be created? 2) In the 32-bit (single precision) IEEE 754 format, what is the encoding for negative zero? 3) In the 32-bit (single precision) IEEE 754 format, what is the encoding for positive infinity? 4) Assuming 32-bit (single precision) IEEE 754 format, what decimal number is represent by this word: 1 01111101 00100000000000000000000What bit pattern is stored for the following characters assuming an 8-bit byte? a. A b. a c. 8 d. % 2. What character is represented by the following bit patterns? a. 0011 0000 b. 0100 0011 c. 0111 1000 d. 0010 1010Q-5: (a) The following numbers use the IEEE 32-bit floating-point format. What is the equivalent decimal value? i) 1 10000011 11000000000000000000000 ii) 0 01111110 10100000000000000000000 (b) Convert the following decimal number to IEEE 32-bit floating-point format i) -16.625 X 10 ^ 4 ii) -3013.3125
- Convert IEEE Single-Precision Binary Format Real number 11000100101001000010101000000000 to decimal. Please show all the steps. a) [1] What is the sign? b) [1] What is the biased exponent value? c) [1] What is the unbiased exponent value? d) [2] What is the normalized representation of the number in BINARY? e) [1] What is the unnormalized representation of the number in BINARY? f) [1] What is the decimal value of the whole number part of the number? g) [2] What is the decimal value of the fractional part of the number? h) [1] What is the real number in base 1022. The message 11001001 is to be transmitted using the CRC polynomial x3 +1 to protect it from errors. The message that should be transmitted is : a. 110010011001 b. 11001001 c. 110010011001001 d. 11001001011The 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.