Repeatedly divide by 5 (noting the remainders) until the quotient is zero. Then write the remainders out in reverse order.
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
To convert a number from base 10 to base 5, repeatedly divide the number by 5 and record the remainders. Start with the original number, divide it by 5, and note the remainder; this remainder is the least significant digit in base 5. Continue dividing the quotient by 5 until the quotient reaches zero, then read the remainders in reverse order to get the base 5 representation. For example, to convert 25 to base 5, you would divide it by 5 to get 5 (remainder 0), then divide 5 by 5 to get 1 (remainder 0), and finally divide 1 by 5 to get 0 (remainder 1), resulting in 100 in base 5.
1225 = 1 x 52 + 2 x 5 + 2 = 3710
To convert the decimal number 23 to base 5, we divide the number by 5 and keep track of the remainders. Dividing 23 by 5 gives a quotient of 4 and a remainder of 3. Next, dividing the quotient 4 by 5 gives a quotient of 0 and a remainder of 4. Reading the remainders from bottom to top, 23 in base 5 is represented as 43.
To convert the number 210 from base 5 to base 10, you calculate it as follows: (2 \times 5^2 + 1 \times 5^1 + 0 \times 5^0). This equals (2 \times 25 + 1 \times 5 + 0 \times 1), which simplifies to (50 + 5 + 0 = 55). Therefore, 210 in base 5 is 55 in base 10.
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
Since 52 = 25, and twice 25 is 50, the answer is 200.
To add two numbers in different bases, we first convert them to the same base. In this case, we convert 43 base 5 to base 10, which is 23. Then we convert 24 base 5 to base 10, which is 14. Adding 23 and 14 in base 10 gives us 37. Finally, we convert 37 back to base 5, which is 112. So, 43 base 5 plus 24 base 5 equals 112 base 5.
To convert a number from base 5 to base 10, you multiply each digit by 5 raised to the power of its position from the right, starting at 0. In this case, for the number 43 base 5, you would calculate (4 * 5^1) + (3 * 5^0) = (4 * 5) + (3 * 1) = 20 + 3 = 23 base 10. Thus, 43 base 5 is equal to 23 base 10.
142120
1225 = 1 x 52 + 2 x 5 + 2 = 3710
To convert the decimal number 23 to base 5, we divide the number by 5 and keep track of the remainders. Dividing 23 by 5 gives a quotient of 4 and a remainder of 3. Next, dividing the quotient 4 by 5 gives a quotient of 0 and a remainder of 4. Reading the remainders from bottom to top, 23 in base 5 is represented as 43.
The 2013 Mazda CX-5 has a 2.0 L base engine size.
The 2013 BMW 5-Series has a 2.0 L base engine size.
The 2013 Audi RS-5 has a 4.2 L base engine size.
The 2013 Mazda CX-5 has a 8 ft. 10.3 in. (106.3 in.) wheel base.
The 2013 BMW 5-Series has a 9 ft. 8.9 in. (116.9 in.) wheel base.