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