Convert 103 base to base 8 & and base 16
To convert a number from one base to another, follow these steps:
1. Start by dividing the number by the base you want to convert to.
2. Write down the remainder, which will be the rightmost digit in the new base.
3. Divide the quotient from step 1 by the new base again.
4. Write down the remainder as the next digit to the left.
5. Repeat steps 3 and 4 until the quotient becomes zero.
6. The result will be the digits written from right to left.
Let's apply these steps to convert 103 from base 10 to base 8 and base 16.
Converting 103 from base 10 to base 8:
1. Divide 103 by 8: 103 ÷ 8 = 12 remainder 7.
2. Write down the remainder, which is 7.
3. Divide the quotient (12) by 8: 12 ÷ 8 = 1 remainder 4.
4. Write down the remainder (4) as the next digit to the left.
5. Since the quotient (1) is now less than the base (8), we stop here and write down the quotient (1).
6. The result is 147 since we obtained the digits from right to left.
Converting 103 from base 10 to base 16:
1. Divide 103 by 16: 103 ÷ 16 = 6 remainder 7.
2. Write down the remainder, which is 7 (since A to F represents 10 to 15 in base 10).
3. Divide the quotient (6) by 16: 6 ÷ 16 = 0 remainder 6.
4. Write down the remainder (6) as the next digit to the left.
5. Since the quotient (0) is now zero, we stop here.
6. The result is 67 since we obtained the digits from right to left.
So, 103 in base 10 is equal to 147 in base 8 and 67 in base 16.