Question 1 Convert –112.7510 to single precision IEEE 754 format. Show your representation in binary.
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- Using 8-bit representation, what is the 2’s complement of the result of ((61 base 10) - (58 base 10))?Consider an IEEE-like format ( one sign bit, 4 exp bits and 4 frac bits. ) with four frac bits and four exp bits. (i) What is the smallest integer m not exactly representable? Compute its decimal value. (ii) Is m+1 representable? Show the bit pattern for m+1 in this representation. (iii) What is the machine epsilon of this representation?Find the representation x of the following numbers listed below in the base specified on the right; 1.- (10100110)2=(x)10 # both signed and unsigned for a eight-bit binary representation 2.- (207)10=(x)2 3.- (-135)10=(x)2 # In a two-complement representation 4.- (2D7)16=(x)2 5.- (-3.3125)10=(x)2 #IEEE 754 standard, 32 bit representation
- What is the 16-bit FP number representation of -10.3 in hex with 1-bit sign, 4-bit biased exponent, and 11-bit fraction, where bias = 7? Please identify the key components of FP number representationWhat is the 16-bit binary (2’s conplement) representation of -18, -12, +129, +64, and -256?How do I convert these decimal values to IEEE-754 single precision and IEEE-754 double precision representation in hexadecimal format? a. 2.625 b.-5.25
- What is the equivalet 2's complement representation for -15 in 16-bit hexadecimal representation? a) FFFE b) 7FFE c) FFF1 d) 7FF1Given (3.125)10 x 101, convert to IEEE 754 FP representation.Using 32-bit IEEE 754 single precision floating point with one(1) sign bit, eight (8) exponent bits and twenty three (23) mantissa bits, show the representation of -11/16 (-0.6875).
- With signed binary representation, what is the range of numbers as written in binary and in decimal for an three bit cell?Determine the binary representation of the decimal number -20.0625 assuming the IEEE 754 32-bit format. Give your answer in both binary and hexadecimal.WHAT IS THE 16-BIT BINARY (2’S COMPLEMENT) REPERESENTATION OF EACH OF THE FOLLOWING SIGNED INTEGERS? (Show complete solution) A. -18 B. -12 C. +129 D. +64 E. -256