Question

Divide 101011 by 1001 and check the result by converting to decimal system. Also, write quotient and remainder.

Answer 1

The division of 101011 by 1001 in binary results in a quotient of 100 (4 in decimal) and a remainder of 11 (7 in decimal). The calculations in both binary and decimal number systems proofed this result.

Step-by-step explanation:

Firstly, 101011 and 1001 are numbers in binary, so when we divide 101011 by 1001, it needs to be carried out in the binary number system. Dividing 101011 by 1001 in binary gives a quotient of 100 and a remainder of 11. To check the result, we need to convert both the dividend and divisor to decimal and perform the division.

To convert the binary number 101011 to decimal, the conversion gives us 43 and converting 1001 to decimal gives us 9. If we divide 43 by 9 in decimal, we get a quotient of 4 and a remainder of 7.

Hence, the quotient is 100 in binary (or 4 in decimal) and the remainder is 11 in binary (or 7 in decimal)

Learn more about Binary Division