Question

convert ( 5643.5704)8 to hexadecimal and binary form.​

Answer 1

Answer:

Explanation:

24/2 = 12; reminder = 0

12/2 = 6;   reminder = 0

6/2 = 3;    reminder = 0

3/2 = 1;    reminder = 1

1/2 = 0;    reminder = 1

Hence , (24)10 = (11000)2

We can even represent decimal point numbers like 0.205 and 1.234 in the binary system. In this case, instead of dividing with 2, we multiply the numbers after decimal point with 2 till the numbers after decimal point become 0. For example, to represent 0.25 in the binary system,

Take 0.25 out of .25 and multiply with 2.

0.25*2=0.50; The number before decimal point = 0;

0.50*2 = 1.00; The number before decimal point = 1;  

Hence, (0.25)10 = (0.01)2

Some Decimal Numbers in Binary Representation

Decimal Digit

Binary Digit

0

0000

1

0001

2

0010

3

0011

4

0100

5

0101

6

0110

7

0111

8

1000

9

1001

10

1010

11

1011

12

1100

13

1101

14

1110

15

1111