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module 1: hardware and software quiz 1 a* started: sep 5 at 2:27pm quiz…

Question

module 1: hardware and software quiz 1 a* started: sep 5 at 2:27pm quiz instructions module 1: hardware and software quiz 1 question 4 10 pts what is the binary representation of 59$_{10}$? 10101 111011 111010 101101 previous

Explanation:

Step1: Divide by 2 successively

Divide 59 by 2:
$59\div2 = 29$ remainder $1$
$29\div2=14$ remainder $1$
$14\div2 = 7$ remainder $0$
$7\div2=3$ remainder $1$
$3\div2 = 1$ remainder $1$
$1\div2=0$ remainder $1$

Step2: Read remainders in reverse - order

Reading the remainders from bottom - to - top gives the binary number 111011.

Answer:

111011