Question

convert 0.215 decimal to binary​

Answer 1

Answer:

$(0.215)_{10}=(0.00110111...)_2$

Step-by-step explanation:

To convert 0.215 to binary

multiply the number by 2,if carry appears keep it aside

$0.215 \times 2 = 0.43 \: \: \: \: \: (0) \\ \\ 0.43 \times 2 = 0.86 \: \: \: \: \: \: \: (0) \\ \\ 0.86 \times 2 = 1.72 \: \: \: \: \: \: (1) \\ \\ 0.72 \times 2 = 1.44 \: \: \: \: \: \: (1) \\ \\ 0.44 \times 2 = 0.88 \: \: \: \: \: \: (0) \\ \\ 0.88 \times 2 = 1.76 \: \: \: \: \: \: \: (1) \\ \\ 0.76 \times 2 = 1.52 \: \: \: \: \: \: (1) \\\\ 0.52 \times 2 =1.04\: \: \: \: \: \:(1)...$

Now write them from upside down

(0.00110111...) is the binary conversion.

Hope it helps you.