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Thực hiện phép toán sau trong hệ nhị phân: 3A h – 196h

A.

1111 1110 1010 0100B

B.

1001 1111 0001 1001B

C.

1000 1110 0101 1011B

D.

1011 0000 0000 1100B

Trả lời:

Đáp án đúng: A


To perform the subtraction 3A (hex) - 196 (hex), we first convert both numbers to decimal. 3A (hex) is 3 * 16 + 10 = 58. 196 (hex) is 1 * 16^2 + 9 * 16 + 6 = 256 + 144 + 6 = 406. Thus, 58 - 406 = -348. Since none of the answer choices reflect a negative number, there must be an error. 196h - 3Ah is the correct interpretation. 406-58 = 348 in decimal. Converting 348 to Hexidecimal involves dividing by 16 iteratively: 348 / 16 = 21 with a remainder of 12 (C). 21 / 16 = 1 with a remainder of 5. 1 / 16 = 0 with a remainder of 1. Thus, the answer is 15C

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