Notes/UNB/Year 5/Semester 1/CS3113/In class notes.md

Convert numbers to binary

Number in decimal: 53.7

Decimal conversion

Calculation	Remainder/Binary
53 / 2 = 26	1
26 / 2 = 13	0
13 / 2 = 6	1
6 / 2 = 3	0
3 / 2 = 1	1
1 / 2 = 0	1
So in binary 110101, as the order is in reverse of the decimals

Fraction Conversion

Calculation	Non Decimal Portion/Binary
0.7 x 2 = 1.4	1
0.4 x 2 = 0.8	0
0.8 x 2 = 1.6	1
0.6 x 2 = 1.2	1
0.2 x 2 = 0.4	0
And so on.. so the fraction would be .10110, with 0110 repeating infinitely
So the final number would be 110101.10110...