Convert the following decimal number to binary 21093922042 a

Convert the following decimal number to binary: 2109392.2042 and 53300.7624 (End the fraction if it repeats or exceeds 10 positions after the point, List all intermediate steps).

Solution

Dear Student,

Here is the complete table...

Kindly Check and Verify Thanks...!!!

--------------------------------------------------------------------------------------------------------------------------------------

32959/2=16479+1

TABLE

2109392/2 = value+ remainder	.2042*2 = value+remainder	53300/2 =value+ remainder	.7624*2=value+remainder
2109392/2 =1054696+0	0.2402*2=0.4084+0	53300/2=26650+0	0.7624*2=0.5248+1
1054696/2=527348+0	0.4084*2=0.8168+0	26650/2=13325+0	0.5248*2=0.0496+1
527348/2=263674+0	0.8168*2=0.6336+1	13325/2=6662+1	0.0496*2=0.0992+0
263674/2=131837+0	0.6336*2=0.2672+1	6662/2=3331+0	0.0992*2=0.1984+0
131837/2=65918+1	0.2672*2=0.5344+0	3331/2=1665+1	0.1984*2=0.3968+0
65918/2=32959+0	0.5344*2=0.0688+1	1665/2=832+1	0.3968*2=0.7936+0
32959/2=16479+1	0.0688*2 =0.1376+0	832/2=416+0	0.7936*2=0.5872+1
16479/2=8239+1	0.1376*2=0.2752+0	416/2=208+0	0.5872*2=0.1744+1
8239/2=4119+1	0.2752=0.5504+0	208/2=104+0	0.1744*2=0.3488+0
4119/2=2059+1	0.5504=0.1008+1	104/2=52+0	0.3488*2=0.6976+0
2059/2=1029+1		52/2=26+0
1029/2=514+1		26/2=13+0
514/2=257+0		13/2=6+1
257/2=128+1		6/2=3+0
128/2=64+0		3/2=1+1
64/2=32+0		1
32/2=16+0
16/2=8+0
8/2=4+0
4/2=2+0
2/2=1+0
1
(2109392.2042)10 = 1000000010111111010000.1000101100	(53300.7624)10 =1101000000110100.0011000011