NEIEP Mechanics Practice Exam

What is the binary equivalent of the decimal number 68?

1. 0101 0100

2. 0100 0100

3. 0110 1100

4. 1000 1000

The correct answer is: 0100 0100

To convert the decimal number 68 to its binary equivalent, you can break it down by dividing the number by 2 and keeping track of the remainders. 1. Start with 68 and divide by 2, which gives you 34 with a remainder of 0. 2. Take 34 and divide by 2, resulting in 17 with a remainder of 0. 3. Next, divide 17 by 2, which results in 8 with a remainder of 1. 4. Continuing, divide 8 by 2 to get 4 with a remainder of 0. 5. Then, divide 4 by 2 to get 2 with a remainder of 0. 6. Finally, divide 2 by 2 which gives you 1 with a remainder of 0, and then take 1 and divide by 2 which gives you 0 with a remainder of 1. Now, collect the remainders from bottom to top: 1, 0, 0, 0, 1, 0, 0, 0, which gives us 0100 0100. Thus, the binary equivalent of the decimal number 68 is 0100