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To write 42 in binary, we need to convert it from base 10 to base 2.

We can use the division-by-2 algorithm to convert 42 to binary:

Step 1: Divide 42 by 2 and write down the quotient and remainder. 42 Ã· 2 = 21 remainder 0 Write down the remainder (0).

Step 2: Divide 21 by 2 and write down the quotient and remainder. 21 Ã· 2 = 10 remainder 1 Write down the remainder (1).

Step 3: Divide 10 by 2 and write down the quotient and remainder. 10 Ã· 2 = 5 remainder 0 Write down the remainder (0).

Step 4: Divide 5 by 2 and write down the quotient and remainder. 5 Ã· 2 = 2 remainder 1 Write down the remainder (1).

Step 5: Divide 2 by 2 and write down the quotient and remainder. 2 Ã· 2 = 1 remainder 0 Write down the remainder (0).

Step 6: Divide 1 by 2 and write down the quotient and remainder. 1 Ã· 2 = 0 remainder 1 Write down the remainder (1).

Step 7: Write the remainders in reverse order. The remainders are 101010, so: 42 in binary = 101010

Therefore, 42 in binary is 101010.