1.4. Represent 3462.5 in IEEE Single-precision floating point fonat?
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- Question 6 a) The IEEE Standard 754 representation of a floating point number is given as: 01101110110011010100000000000000. Determine the binary value represented by this number. b) Convert each of the following 8-bit two’s complement binary values to decimal. i) 10110111(base 2) ii) 01001101(base 2) iii) 11010111(base 2) iv) 01110111(base 2) c) Discuss the differences between static RAM and dynamic RAMConsider a hypothetical 8 bit floating point machine representation with a sign bit, a 3 bit exponent, and a 4 bit mantissa (se1e2e3b1b2b3b4), where the exponent bias is 3 (add 3 to exponent of number to form machine representation). Recall that actual mantissa has 5 bits, since the leading 1 is not stored on the machine. (a) What is the number ?≈2.718 in this 8-bit format? (b) What is the number that (10100111)2 represents in this 8-bit format? (c) What is the upper bound of the relative error when representing a real number in this 8-bit format?9. Answer the following questions about IEEE 754 32-bit single precision numbers. a. Draw a diagram of the number format. b. What’s the range of numbers that can be represented? c. What’s meant by normalization? d. What’s the implied bit? e. What’s meant by exponent overflow and underflow? f. What’s meant by significand overflow and underflow? g. How’s + ∞ represented? h. How would he following numbers be represented? i. 1.6328125 x 2^-20 ii. 1.6328125 x 2^20 iii. -1.6328125 x 2^-20 iv. -1.6328125 x 2^20
- 6. Show how each of the following floating point values would be stored using IEEE-754single precision data types correctly.a. 34.55b. -201.601 PS: Please do them in a word processor and not hand-written!Consider the bit pattern 1000 1100 0000 0000 0000 0000 0000 0000 a) What decimal number does this pattern represent as an unsigned integer? b) What decimal number does this pattern represent as a signed integer? c) What decimal number does this pattern represent as a two complement number? d) What single precision number does this represent if it is a floating point number per the IEEE 754 standard?For 10 bits floating point representation using: seeeefffff, what is the bias for denormalized numbers? A. 7 B. 6 C. 4 D. 3 E. 2 What is the range of integers that can be represented using 8 bits 2's complement? A. -127 to 127 B. -128 to 127 C. -127 to 128 D. 0 to 255 E. 0 to 256
- 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 01100000000000000000000what is the difference between x84 and x64 bit? with citationCPU contains a special bit called the overflow bit , denoted by V. When CPU adds two binary integers, if their sum is out of range when interpreted in 2's complement representation, then V is set to _____, otherwise V is set to _______. Question 4 options: A. 0 : 0 B. 1 : 0 C. 0 : 1 D. 1 : 1 2 X = 0 0000 0000 1000 0000 0000 0000 0000 000 is an IEEE 754 single precision floating point number, what is the decimal value of X? Question 5 options: 1.5 × 2–127 0.5 × 2–127 1.5 × 2–126 0.5 × 2–126 None of the above
- 1. Suppose (27.625 base 10) is represented using IEEE754 Single Precision Floating Point Format. What is the Mantissa? 2. Suppose (27.625 base 10) is represented using IEEE754 Single Precision Floating Point Format. What is the exponent? Choices: 1101110111011101101110100000000000000001101110100000000000000001000001101110110000000000000000001) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?1)Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?