Answer :

Answer:
2129 in base 2 is 101010001001.

Step-by-step explanation:

To convert a decimal number to base 2, we repeatedly divide the number by 2 and keep track of the remainders.

Divide 2129 by 2:

Quotient: 1064

Remainder: 1

Divide 1064 by 2:

Quotient: 532

Remainder: 0

Divide 532 by 2:

Quotient: 266

Remainder: 0

Divide 266 by 2:

Quotient: 133

Remainder: 0

Divide 133 by 2:

Quotient: 66

Remainder: 1

Divide 66 by 2:

Quotient: 33

Remainder: 0

Divide 33 by 2:

Quotient: 16

Remainder: 1

Divide 16 by 2:

Quotient: 8

Remainder: 0

Divide 8 by 2:

Quotient: 4

Remainder: 0

Divide 4 by 2:

Quotient: 2

Remainder: 0

Divide 2 by 2:

Quotient: 1

Remainder: 0

Divide 1 by 2:

Quotient: 0

Remainder: 1

We stop when the quotient becomes 0. Now, read the remainders from bottom to top to get the binary representation:

101010001001