Answer:
458210 in binary
10001111001102
To convert decimal number 4582 to binary, follow these steps:
Divide 4582 by 2 keeping notice of the quotient and the remainder.
Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get binary equivalent of decimal number 4582.
Using the above steps, here is the work involved in the solution for converting 4582 to binary number:
4582 / 2 = 2291 with remainder 0
2291 / 2 = 1145 with remainder 1
1145 / 2 = 572 with remainder 1
572 / 2 = 286 with remainder 0
286 / 2 = 143 with remainder 0
143 / 2 = 71 with remainder 1
71 / 2 = 35 with remainder 1
35 / 2 = 17 with remainder 1
17 / 2 = 8 with remainder 1
8 / 2 = 4 with remainder 0
4 / 2 = 2 with remainder 0
2 / 2 = 1 with remainder 0
1 / 2 = 0 with remainder 1
Then just write down the remainders in the reverse order to get the answer, The decimal number 4582 converted to binary is therefore equal to :
1000111100110