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20. (Lecture 10) Find the IEEE754 single binary precision representation of 67.875. a. 42870000 b. 41870000 c. 4287D000 d. 4286C000

Answer 1

Answer:

a single binary precision representation Find the IEEE 754 of 67.875 - IEEE 754 Floating Point For single precision standard :- - 32 Bits Sign Exponent 8 Bits Mantissa €23 Bits - 1 Bits For 67. 875 (67) 0 = (10000 1 12 67 21671 3 331 Prose wi роо 0.875 T co.875) 10 0.875 x 2 6.75 x2 0.5 x - 0 75 = 0.5 200 = (111) 67.875 - 10000 111 11 = 1.000 0 1 1 1 1 1 X 216 so sign - o for single precision : Biased Exponent 127 +6 = 133 (133)2 = 10000 101

Normalised mantissa = 0000 11111 we will add o's to complete the 23 bits The IEEE 754 Single precision is: 100001111 100000000000000 [10000 101 & 8 Bit tiBits & 23 Bit 0 70000194 0090.111 4109 00 OOOOOO 2009 This form can be written in hexadecimal = 4287 cooo So the option (a) is correct