Please turn 234base six to binary
To convert 234 from base 6 to binary, we can convert it to decimal first and then convert it to binary.
To convert 234 from base 6 to decimal:
(2 * 6^2) + (3 * 6^1) + (4 * 6^0)
= (2 * 36) + (3 * 6) + (4 * 1)
= 72 + 18 + 4
= 94
Now, let's convert 94 from decimal to binary:
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, the binary representation of 94 is 1011110.
Therefore, 234 base 6 is equal to 1011110 in binary.
To convert a number from base 6 to binary, you can follow these steps:
Step 1: Convert the base 6 number to decimal.
Step 2: Convert the decimal number to binary.
Let's perform these steps for the number 234 in base 6:
Step 1: Converting 234 from base 6 to decimal:
The number 234 in base 6 can be written as:
2 * 6^2 + 3 * 6^1 + 4 * 6^0
= 2 * 36 + 3 * 6 + 4 * 1
= 72 + 18 + 4
= 94
So, 234 in base 6 is equal to 94 in decimal.
Step 2: Converting 94 from decimal to binary:
To convert a decimal number to binary, you can use the division-by-2 method.
Divide the decimal number (94) by 2 repeatedly until the quotient becomes 0. Keep track of the remainders, starting with the last obtained remainder.
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
Write the remainders in reverse order to obtain the binary representation:
94 in binary is 1011110.
Therefore, 234 in base 6 is equal to 1011110 in binary.
To convert a number from base 6 to binary, we need to first convert it to base 10 and then from base 10 to binary.
To convert a number from base 6 to base 10, we can follow these steps:
1. Write down the number in expanded form, with each digit multiplied by the corresponding power of 6:
234base 6 = (2 * 6^2) + (3 * 6^1) + (4 * 6^0)
= (2 * 36) + (3 * 6) + (4 * 1)
= 72 + 18 + 4
= 94
Now that we have converted the number from base 6 to base 10 (94 in this case), we can convert it to binary:
To convert a number from base 10 to binary, we can divide the number by 2 repeatedly and write down the remainder in each step.
Let's start dividing 94 by 2:
94 ÷ 2 = 47 with a remainder of 0
Next, we divide 47 by 2:
47 ÷ 2 = 23 with a remainder of 1
Then, we divide 23 by 2:
23 ÷ 2 = 11 with a remainder of 1
Next, we divide 11 by 2:
11 ÷ 2 = 5 with a remainder of 1
Finally, we divide 5 by 2:
5 ÷ 2 = 2 with a remainder of 1
Now, we take the remainders from bottom to top (reading the remainders from the last step to the first step) and that gives us the binary representation of the number.
So, 94base 10 in binary is 1011110.
Therefore, 234base 6 in binary is 1011110.