3. Use Huffman coding to frequencies : а: 19 b: 22 What is the average number of bits required to encode a character ? encode these symbols with given c: 14 d : 20 е:25
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- 1) 0xBEAD (in hex) can be written in decimal (base 10) as: 2) 23.2578125 (decimal) is expressed in binary (base 2) as: Do no use any spaces within your representation. Use 8 bits to represent the integer part, and an additional 8 bits to represent the fractional parts (i.e., 8 bits before the radix point and after the radix point).This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number -6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111100 01100000000000000000000(Hint: remember to use the biased form of the exponent.)F - Assuming a three-bit exponent field and a four-bit significand, write the bit pattern for the following decimal values: (i) –12.5 (ii) 13.0
- This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number 6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111110 011000000000000000000007. Add the following two 8-bit binary numbers, producing an 8-bit result. Indicate the status of the carry and overflow bits at the end of the addition by circling the appropriate choices. The space in between is only for readability. 1101 0110 + 1001 0111 -------------- Overflow? Yes or No Carry? Yes or NoIn each of the following you are given a bit sequencecorresponding to the IEEE single precisionrepresentation of a floating-point number. In eachcase determine the base 2 floating-point representationof the number and also the base 10 decimalrepresentation of the number: 10111100010110000000000000000000
- Assume we are using the simple model for floating-pointrepresentation as given in the text (the representation uses a 14-bitformat, 5 bits for the exponent with a bias of 15, a normalizedmantissa of 8 bits, and a single sign bit for the number):1. a) Show how the computer would represent the numbers100.0 and 0.25 using this floating-point format.2. b) Show how the computer would add the two floating-pointnumbers in Part a by changing one of the numbers so theyare both expressed using the same power of 2. c) Show how the computer would represent the sum in Partb using the given floating-point representation. Whatdecimal value for the sum is the computer actually storing?Explain.What 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 1010Write down the bit pattern assuming that we are using base 15 numbers in the fraction instead of base 2. (Base 16 numbers use the symbols 0–9 and A–F. Base 15 numbers would use 0–9 and A–E.) Assume there are 24 bits, and you do not need to normalize. Is this representation exact?
- 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 10Assume a 24-bit word on a computer. In these 24 bits, wewish to represent the value 295.1. a) How would the computer represent the decimal value295?2. b) If our computer uses 8-bit ASCII and even parity, howwould the computer represent the string 295?3. c) If our computer uses packed BCD with zero padding, howwould the computer represent the number +295?Solve all parts or i will dislike A) 1.0 x 2^127 is the largest absolute number that can be represented in the 32-bit representation (True/False) For True enter 1 For False enter 0 ? B) 1.0 x 2^200 will be considered as Infinity in the 32-point representation (True/False) ?