What is the binary equivalent of the decimal number 164?

To determine the binary equivalent of decimal number 164, the conversion from decimal to binary involves dividing the number by 2 and keeping track of the remainders. This method entails repeatedly dividing the number until the quotient reaches zero, while recording each remainder. The binary number is obtained by reading the collected remainders in reverse order.

When converting 164 to binary:

1. Divide 164 by 2, which gives a quotient of 82 and a remainder of 0.
2. Next, divide 82 by 2, resulting in a quotient of 41 and a remainder of 0.
3. Continue with 41; dividing it by 2 yields a quotient of 20 and a remainder of 1.
4. For 20, divide by 2 to get a quotient of 10 and a remainder of 0.
5. Dividing 10 by 2 results in a quotient of 5 and a remainder of 0.
6. For 5, dividing by 2 gives a quotient of 2 and a remainder of 1.
7. Dividing 2 by 2 results in a quotient of 1 and a remainder of 0.
8. Finally, dividing 1 by 2