Divide 13248 by 202013 and
leave your answer in a binary
numeral.
A. 1012
B. 0112
C. 0102
D.1002
The answer is A. 1012.
To divide 13248 by 202013 and express the answer in binary, follow these steps:
Step 1: Perform the division: 13248 ÷ 202013 ≈ 0.065646 (rounded to six decimal places).
Step 2: Convert the decimal quotient to binary. To do this, multiply the decimal part (0.065646) by 2, and keep track of the whole number part at each step:
0.065646 × 2 = 0.131292 → 0 (whole number part)
0.131292 × 2 = 0.262584 → 0 (whole number part)
0.262584 × 2 = 0.525168 → 0 (whole number part)
0.525168 × 2 = 1.050336 → 1 (whole number part)
0.050336 × 2 = 0.100672 → 0 (whole number part)
0.100672 × 2 = 0.201344 → 0 (whole number part)
The binary representation of the decimal quotient 0.065646 is 0.000101 (rounded to six binary places).
Therefore, the answer to the question is not among the provided choices.