To convert the decimal number 100 into binary, we can use the process of division by 2 repeatedly until the quotient becomes 0. The remainders, when read from the bottom up, give us the binary representation.
Here is the step-by-step process:
Divide 100 by 2:
Quotient: 50
Remainder: 0
Divide 50 by 2:
Quotient: 25
Remainder: 0
Divide 25 by 2:
Quotient: 12
Remainder: 1
Divide 12 by 2:
Quotient: 6
Remainder: 0
Divide 6 by 2:
Quotient: 3
Remainder: 0
Divide 3 by 2:
Quotient: 1
Remainder: 1
Divide 1 by 2:
Quotient: 0
Remainder: 1
Reading the remainders from bottom to top, we get the binary representation of 100 as 1100100.
Therefore, 100 in binary is 1100100.
I hope it helps.