1. Convert 101.5937510 to base 2 and 16
Binary
101.5937510
Number Remainder
101/2 = 50 1 a0 = 1
50/2 = 25 0 a1 = 0
25/2 = 12 1 a2 = 1
12/2 = 6 0 a3 = 0
6/2 = 3 0 a4 = 0
3/2 = 1 1 a5 = 1
1/2 = 0 1 a6 = 1 whole number part = 11001012
Fraction Whole
0.59375*2 = 0.1875 1 a-1 = 1
0.1875*2 = 0.375 0 a-2 = 0
0.375*2 = 0.75 0 a-3 = 0
0.75*2 = 0.5 1 a-4 = 1
0.5*2 = 0 1 a-5 = 1 fraction part = 0.100112
Answer = 1100101.100112
Hexadecimal
Algorithmic Solution:
101.5937510
Number Remainder
101/16 = 6 5 a0 = 5
6/16 = 0 6 a1 = 6 whole number part = 6516
