Please turn 234 in base six to binary
To convert 234 in base six to binary, we need to convert it first to base ten and then to binary.
Step 1: Convert 234 in base six to base ten.
To do this, we multiply each digit by the corresponding power of six and sum the results:
2 * 6^2 + 3 * 6^1 + 4 * 6^0 = 72 + 18 + 4 = 94
So, 234 in base six is equal to 94 in base ten.
Step 2: Convert 94 in base ten to binary.
To convert 94 to binary, we need to repeatedly divide it by 2 and note the remainder until we get a quotient of 0.
94 divided by 2 is 47 with a remainder of 0.
47 divided by 2 is 23 with a remainder of 1.
23 divided by 2 is 11 with a remainder of 1.
11 divided by 2 is 5 with a remainder of 1.
5 divided by 2 is 2 with a remainder of 1.
2 divided by 2 is 1 with a remainder of 0.
1 divided by 2 is 0 with a remainder of 1.
Reading the remainders from bottom to top, we get 1011110.
So, 234 in base six is equal to 1011110 in binary.
To convert the number 234 in base six to binary, you need to follow these steps:
Step 1: Convert the number 234 in base six to decimal.
To do this, multiply each digit of the base six number by 6 raised to the power of its position, and add the products together.
In this case:
2 * 6^2 + 3 * 6^1 + 4 * 6^0 = 2 * 36 + 3 * 6 + 4 * 1 = 72 + 18 + 4 = 94
Therefore, the number 234 in base six is equal to 94 in decimal.
Step 2: Convert the decimal number (94) to binary.
To convert a decimal number to binary, you need to repeatedly divide the number by 2 and take note of the remainders until the quotient becomes zero.
The remainders, from bottom to top, will be the binary representation of the decimal number.
Here is the step-by-step process:
94 ÷ 2 = 47 with a remainder of 0
47 ÷ 2 = 23 with a remainder of 1
23 ÷ 2 = 11 with a remainder of 1
11 ÷ 2 = 5 with a remainder of 1
5 ÷ 2 = 2 with a remainder of 1
2 ÷ 2 = 1 with a remainder of 0
1 ÷ 2 = 0 with a remainder of 1
Reading the binary remainders from bottom to top, the binary representation of the decimal number 94 is 1011110.
Therefore, the number 234 in base six is equal to 1011110 in binary.
To convert a number from base six to binary, you can follow these steps:
Step 1: Convert the base six number to base ten.
To convert 234 from base six to base ten, we calculate:
2 * 6^2 + 3 * 6^1 + 4 * 6^0 = 72 + 18 + 4 = 94.
Step 2: Convert the base ten number to binary.
To convert 94 from base ten to binary, we divide it by 2 repeatedly until we reach 0. Keep track of the remainders from each division.
94 ÷ 2 = 47 remainder 0
47 ÷ 2 = 23 remainder 1
23 ÷ 2 = 11 remainder 1
11 ÷ 2 = 5 remainder 1
5 ÷ 2 = 2 remainder 1
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1
Now, read the remainders from bottom to top: 1 0 1 1 1 1 0.
Therefore, 234 in base six is equal to 1011110 in binary.