Convert the following decimal values to a 16-bit 2's complement representation. (1*2Marks)i. -2342ii. 234
Question
Convert the following decimal values to a 16-bit 2's complement representation. (1*2Marks)i. -2342ii. 234
Solution
Claro, aquí tienes la conversión paso a paso:
i. -2342
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Primero, convertimos el valor absoluto de -2342 a binario. 2342 en binario es 100100100110.
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Aseguramos que el número tenga 16 bits añadiendo ceros a la izquierda: 0000 1001 0010 0110
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Invertimos todos los bits para obtener el complemento a 1: 1111 0110 1101 1001
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Sumamos 1 para obtener el complemento a 2: 1111 0110 1101 1001
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1
1111 0110 1101 1010
Entonces, -2342 en representación de complemento a 2 de 16 bits es: 1111 0110 1101 1010
ii. 234
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Convertimos 234 a binario: 234 en binario es 11101010.
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Aseguramos que el número tenga 16 bits añadiendo ceros a la izquierda: 0000 0000 1110 1010
Entonces, 234 en representación de complemento a 2 de 16 bits es: 0000 0000 1110 1010
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