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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.
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
43 base 5 = (4 * 5^1) + (3 * 5^0) = 20 + 3 = 23
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.
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.
I would convert to base 10 , multiply and then convert back to base 6. 35 base 6 is 3 * 6 + 5 = 23 in base ten. 4 * 23 = 92 which is 2*36 + 3* 6 + 2 , in base 6 , the answer is 232 .
To convert the base ten numeral 9 to base five, you would divide 9 by 5. The quotient is 1 with a remainder of 4. The remainder becomes the rightmost digit, so the base five numeral for 9 is 14.
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.
4 * 5^0 + 1 * 5^1 4 * 1 + 1 * 5 4 + 5 9 ■
To convert the number (131_5) from base 5 to base 10, you multiply each digit by (5) raised to the power of its position, starting from the right (position 0). So, (1 \times 5^2 + 3 \times 5^1 + 1 \times 5^0) equals (1 \times 25 + 3 \times 5 + 1 \times 1), which simplifies to (25 + 15 + 1 = 41). Therefore, (131_5) in base 10 is (41).
Since 52 = 25, and twice 25 is 50, the answer is 200.
In base 5, the digits are 0, 1, 2, 3, and 4. To convert 125 to base 5, we need to find the highest power of 5 that is less than 125, which is 5^3 or 125. Therefore, 125 base 10 is equivalent to 1000 base 5.