1 Answer
To convert the decimal number 85 into binary, you can use the method of dividing the number by 2 and recording the remainders. Here's a step-by-step guide:
1. **Divide 85 by 2.**
85 ÷ 2 = 42 with a remainder of 1.
2. **Divide 42 by 2.**
42 ÷ 2 = 21 with a remainder of 0.
3. **Divide 21 by 2.**
21 ÷ 2 = 10 with a remainder of 1.
4. **Divide 10 by 2.**
10 ÷ 2 = 5 with a remainder of 0.
5. **Divide 5 by 2.**
5 ÷ 2 = 2 with a remainder of 1.
6. **Divide 2 by 2.**
2 ÷ 2 = 1 with a remainder of 0.
7. **Divide 1 by 2.**
1 ÷ 2 = 0 with a remainder of 1.
Now, take the remainders from bottom to top (last remainder is the first digit). So, the binary equivalent of 85 is:
**1010101**
Thus, 85 in binary is **1010101**.
1. **Divide 85 by 2.**
85 ÷ 2 = 42 with a remainder of 1.
2. **Divide 42 by 2.**
42 ÷ 2 = 21 with a remainder of 0.
3. **Divide 21 by 2.**
21 ÷ 2 = 10 with a remainder of 1.
4. **Divide 10 by 2.**
10 ÷ 2 = 5 with a remainder of 0.
5. **Divide 5 by 2.**
5 ÷ 2 = 2 with a remainder of 1.
6. **Divide 2 by 2.**
2 ÷ 2 = 1 with a remainder of 0.
7. **Divide 1 by 2.**
1 ÷ 2 = 0 with a remainder of 1.
Now, take the remainders from bottom to top (last remainder is the first digit). So, the binary equivalent of 85 is:
**1010101**
Thus, 85 in binary is **1010101**.