Convert decimal number into binary number.

1.	Convert decimal number into binary number.
Answer» (a) Canversion of (25)₁₀: 25 = 12 x 2 + 1 12 = 6 x 2 = 0 6 = 3 x 2 + 0 3 = 1 x 2 + 1 1 = 0 x 2 + 1 (25)₁₀ = (11001)₂ (b) Conversion of fraction (0.8125)₁₀ 0.8125 x 2 = 1.6250 0.6250 x 2 = 1.2500 0.2500 x 2 = 0.5000 0.5000 x 2 = 1.0000 (0.8125)₁₀ = (0.1101)₂ Adding (a) and (b), we get, (25.8125)₁₀ = (11001.1101)₂.

Answer»

(a) Canversion of (25)₁₀:

25 = 12 x 2 + 1

12 = 6 x 2 = 0

6 = 3 x 2 + 0

3 = 1 x 2 + 1

1 = 0 x 2 + 1

(25)₁₀ = (11001)₂

(b) Conversion of fraction (0.8125)₁₀

0.8125 x 2 = 1.6250

0.6250 x 2 = 1.2500

0.2500 x 2 = 0.5000

0.5000 x 2 = 1.0000

(0.8125)₁₀ = (0.1101)₂

Adding (a) and (b), we get,

(25.8125)₁₀ = (11001.1101)₂.

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