Multiply in the indicated base
14
5
2
5
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To multiply the numbers 14 and 5 in base 2, you would follow these steps:
Step 1: Convert the numbers to base 10.
14 in base 2 is equal to 1 * 2^3 + 1 * 2^2 + 0 * 2^1 + 0 * 2^0 = 8 + 4 + 0 + 0 = 12.
5 in base 2 is equal to 1 * 2^2 + 0 * 2^1 + 1 * 2^0 = 4 + 0 + 1 = 5.
Step 2: Multiply the base 10 numbers.
12 * 5 = 60.
Step 3: Convert the base 10 product back to base 2.
60 in base 2 is equal to 1 * 2^5 + 1 * 2^4 + 1 * 2^3 + 1 * 2^2 + 0 * 2^1 + 0 * 2^0 = 32 + 16 + 8 + 4 + 0 + 0 = 60.
So, the product of 14 and 5 in base 2 is 60.