Convert (17.35)10 to binary form.
Answer:
17.35 10 is a decimal number.
17 is the integer part of the number and 35 is the fractional part of the number.
Step 1: Converting 17 to binary
So equivalent binary of integer part of the decimal number is 10001 2
Step 2: Converting .35 to binary
|
Integer Part |
Fractional Part |
|
|
0.35 x 2 = 0.70 |
0 ↓ |
0.70 |
|
0.70 x 2 = 1.40 |
1 ↓ |
0.40 |
|
0.40 x 2 = 0.80 |
0 ↓ | 0.80 |
| 0.80 x 2 = 1.60 | 1 ↓ | 0.60 |
| 0.60 x 2 = 1.20 | 1 ↓ | 0.20 |
| 0.20 x 2 = 0.40 | 0 ↓ | 0.40 |
So equivalent binary of fractional part of the decimal number is (. 010110) 2
Therefore, (17.35) 10 = ( 10001.010110) 2