Question
State how 14 will be stored using one byte and two's complement form for negatives.
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Answer to a math question State how 14 will be stored using one byte and two's complement form for negatives.
Darrell
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To store the number 14 using one byte in two's complement form for negatives, follow these steps:
Step 1: Determine the binary representation of the positive number 14.
14 in binary is 1110.
Step 2: Since we are using two's complement form, we need to check if the most significant bit (MSB) of the binary representation is 1. If it is 1, it indicates a negative number.
In this case, the MSB of 1110 is 1, which means that 14 is a negative number in two's complement form.
Step 3: To represent a negative number using two's complement, invert all the bits of the positive number's binary representation and add 1 to the result.
Inverting the bits of 1110 gives us 0001. Adding 1 to it gives us 0010.
Therefore, the binary representation of -14 in two's complement form using one byte is 0010.
Answer: -14 is stored as 0010 in one byte using two's complement form for negatives.
Step 1: Determine the binary representation of the positive number 14.
14 in binary is 1110.
Step 2: Since we are using two's complement form, we need to check if the most significant bit (MSB) of the binary representation is 1. If it is 1, it indicates a negative number.
In this case, the MSB of 1110 is 1, which means that 14 is a negative number in two's complement form.
Step 3: To represent a negative number using two's complement, invert all the bits of the positive number's binary representation and add 1 to the result.
Inverting the bits of 1110 gives us 0001. Adding 1 to it gives us 0010.
Therefore, the binary representation of -14 in two's complement form using one byte is 0010.
Answer: -14 is stored as 0010 in one byte using two's complement form for negatives.
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