Question

Convert the decimal number 80 to binary.

Answer 1

To convert the decimal number 80 to binary, divide the number by 2 and record the remainders in reverse order, yielding the binary number 1010000.

Step-by-step explanation:

To convert the decimal number 80 to binary, we need to divide the number by 2 and record the remainder until we reach 0. Here's a step-by-step guide to the conversion process:

1. Divide 80 by 2, which equals 40 with a remainder of 0. The remainder is the least significant bit (LSB) in the binary number.
2. Divide 40 by 2, which equals 20 with a remainder of 0.
3. Divide 20 by 2, which equals 10 with a remainder of 0.
4. Divide 10 by 2, which equals 5 with a remainder of 0.
5. Divide 5 by 2, which equals 2 with a remainder of 1.
6. Divide 2 by 2, which equals 1 with a remainder of 0.
7. Finally, divide 1 by 2, which equals 0 with a remainder of 1. This remainder is the most significant bit (MSB) in the binary number.

By listing the remainders in reverse order, we get the binary equivalent of 80 which is 1010000.