The document explains how to convert the decimal number 1.625 to binary. The integer part is 1, and the fractional part 0.625 is converted by multiplying by 2 in steps to yield 0.101. The final binary representation is 1.101 base 2.
1. convert 1.625 to binary?
Solution
1.625 base 10 convert to base 2 the integer part is 1, so it will still be 1 in base 2
the fractional part is 0.625, multiply it by 2 0.625 * 2 = 1.250 the integerpart is 1, take the
fractional part of 1.25 (0.25) and multiply by2 0.25 * 2 = 0.50 take the fractionalpart multiply
by 2 0.50 * 2 = 1.00 the fractional part becomes zero, so we stop multiplying. take the integer
part of the of the results from top to bottom:101 now combine the integer and the fractional part,
you get 1.101 base2