Question

Question 18 Assurning IEEE 754 single-precision floating point number representation, calculate the floating point number the following bit pattern represent. Show your work to get credit. 1100 0000 0011 0000 0000 0000 0000 0000 Ara 3117 TTTT Paragraph X DOO f Mashup BUSS Path: Click Submit to complete this assessment.

Answer 1

First bit show sign then next 8 bit exponential(e)(e=decimal form of given 8bit-127) and last 23 bits show fraction called montissa(m).by taking all at same place by formula .floating number=(-1)^s×(1+m)×2^e.final answer=-2.75.
018 OOOO Oooo Ipage-1 given in question:- TEEE 754 segle precisión Hosting point number 1100 0011 0000 Dopo 0000 0000 calculate:- floaking sint number of gaters above goze bit pattern on scution giren bct pattem 0000 0021 2st bit shoco sign of Plooking point rembes : this 8bit show oaches 122 DO00 DO00 0000 0000 DO exponent of 2 called estponent fit mm this 23 bits 28 cme mondiksa) & sign bit of 1 the legs w робо OOOO 0000 oooo Scientific notatos number (-3)*x +m) x 20 cohore negatire onde o Hes number poschure e-s esponent ce represest 127) m-> montissa of last 23 bits Now grren bit pattern CRL Ponent bits 00 0000 0011 000g Poochon bits (m) sign bit is 1 meone number is negatire 2002eese), o tomtof*40*38+exyloxyl Fox px © 20000000), → deaunal form > 1X27 + 0x2 + ox 2 + 0x4 + oxetox + 0x2 tox20 =128 sign bet sunce

1 0000 OOOO poger? osypovestad bios = 127 eo 128.-122=1 (we have to Lenale e that's excess 127 ) 10110 0000 0000 000)2 → decimal frockonal part form so deamal converscen -44 982'+ 1X22+1x23+ m= 14 + 1/8 5th = 0.395 Senale floating number (-18 L Hom) x 2e 3 [o? Ll+ 0.398) x2 finale omswer $=1 m=0.335 e=1 from above Sdukon © 2.25 고 na lanskost & inelas