$2{-1} = 1/2$ or .5 This is larger than .1875 so record .0 $2^{-2} = 1/4$ or .25 This is larger than .1875 so record .00 $2^{-3} = 1/8$ or .125 This is smaller than or equal to .1875 so record .001 Subtract .1875 - .125 ------ .0625 $2^{-4} = 1/16$ or .0625 This is smaller than or equal to .0625 so record .0011 Subtract .0625 - .0625 ------- 0 $.1875 = .0011_2$
.1875 x 2 = .375 record 0 .375 x 2 = .75 record 0 .75 x 2 = 1.5 record 1 .5 x 2 = 1.0 record 1 stop, read down $.1875 = .0011_2$
.6012 * 15 = 9.018 so record .9 .018 * 15 = 0.27 so record .90 .27 * 15 = 4.05 so record .904 .05 * 15 = 0.75 SO record .9040