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In single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa.
(a) What are the smallest and the largest positive numbers that can be stored in single precision?
(b) What is the smallest value of the mantissa that can be stored?
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- A(n) __________ is an integer stored in double the normal number of bit positions.A(n) _____ operation transforms a 0 bit value to 1 and a 1 bit value to 0.1. Write down the IEEE double-precision representation for the following decimal numbers: (a) 1.5, using round up. (b) 5.1, using round to nearest. (c) -5.1, using round towards 0. (d) -5.1, using round down.
- Exo 3 1+ The number whose code us 11.00 110 s in 2's complement on 8 bits is: A. 35 B₂ - 41 C. -51 61 2+ BCD character ending allows to code on! At 10 bots B = I bits. G+ 6 bits. Dt 8 bits 3- What is the encoding of A - 10100010 B- 110 111 11 ct 10110101 D- 1 1 0 1 1 1 1 0 (-34) 10 in 2's complement?Given a floating point representation 10110 11101101000 (5-bit exponent and 11-bit significant) if the exponent is in two’s and the significant is in one’s, what are its normalized floating point representation in hexadecimal and its real value in hexadecimal?Given a floating point representation 10110 11101101000 (5-bit exponent and 11-bit significant) Question: if the exponent is in two’s and the significant is in one’s, what are its normalized floating point representation in hexadecimal and its real value in hexadecimal? Please answer based on given numbers.
- H - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal values: (i)–1.0 (ii)– 0.0 (iii)256.015625Determine the sign bit (S), the exponent bits (E), and the mantissa bits (M) for a value of 0.6730. Use 8-bit floating point as described in class - 1 sign bit, 3 exponent bits (biased by 3), and 4 mantissa bits. Note write down your results... you will need them in the next problem. Blank # 1 Blank # 2 Blank # 3In the IEEE single-precision format, how many bits are reserved for the exponent?
- Given a floating point representation 10110 11101101000 (5-bit exponent and 11-bit significant) 3. if the exponent is in signed magnitude and the significant is in two’s, what are its normalized floating point representation in hexadecimal and its real value in hexadecimal?2. A floating point number has a 27-bit IEEE format with k = 6 exp bits and n = 20 frac bits, and 1 sign bit. (a) What is the largest integer that can be exactly represented in this format? (b) Show the bits of this value in the above format.In a particular computer system, real numbers are stored using floating-point representation with:• 10 bits for the mantissa• 6 bits for the exponent• two’s complement form for both mantissa and exponent. (a) Calculate the normalised floating-point representation of +192.5 in this system. Show your working.