question 8 (11 points) 4 minutes using regular unsigned binary division, calculate the following…
question 8 (11 points) 4 minutes using regular unsigned binary division, calculate the following: 111010010111 / 101101 enter the quotient with out any leading zeros. enter the remainder with no leading zeros.
Answer
Explanation:
Step1: Convert to decimal
The dividend (111010010111_2) in decimal is (2^{11}+2^{10}+2^{9}+2^{7}+2^{4}+2^{3}+2^{1}+2^{0}=2048 + 1024+512 + 128+16 + 8+2 + 1=3735). The divisor (101101_2) in decimal is (2^{5}+2^{3}+2^{2}+2^{0}=32 + 8+4 + 1 = 45).
Step2: Perform decimal - division
(3735\div45 = 83) with a remainder of (0).
Step3: Convert quotient and remainder to binary
The quotient (83) in binary is (1010011_2) and the remainder (0) in binary is (0).
Answer:
Quotient: (1010011) Remainder: (0)