Question

Convert 0.6 to binary, truncating after 4 bits.

Answer 1

To convert 0.6 to binary, multiply the decimal part by 2 and note the whole number at each step. Truncate after 4 bits.

Step-by-step explanation:

Converting 0.6 to binary is done by multiplying the decimal part by 2 and noting the whole number at each step. The process is repeated until the desired precision is achieved.

0.6 x 2 = 1.2 (1)

0.2 x 2 = 0.4 (0)

0.4 x 2 = 0.8 (0)

0.8 x 2 = 1.6 (1)

Truncating after 4 bits, the binary representation of 0.6 is 0.1001.