Which of the following decimal numbers is equal to 1111 1111 1111 10012SC (16 bit two’s complement representation)

Question

BlackTom AI · Accepted Answer

Let's parse the given 16-bit two's complement binary number: 1111 1111 1111 1001_2.

Option 1: -7. To verify, compute the two's complement magnitude. Invert all bits: 0000 0000 0000 0110. Add 1: 0000 0000 0000 0111, which is 7 in unsigned form. Since the original MSB was 1, the value is negative, so the decimal value is -7. This matches the option.

Option 2: -6. If the value were -6, the two's complement representation would correspond to the magnitude of 6 after inverting and adding 1. Invert 1111 1111 1111 1001 to get 0000 0000 0000 0110; adding 1 yields 0000 0000 0000 0111 (7). That would represent -7, not -6, so this option is incorrect.

Option 3: 6. A positive 6 would require the MSB to be 0 in two's complement. Since the given number starts with 1, it cannot be +6. This option is therefore incorrect.

Option 4: -9. The two's complement magnitude process would have to give 9 after inversion and +1. Inverting 1111 1111 1111 1001 yields 0000 0000 0000 0110, add 1 gives 0000 0000 0000 0111 (7). It does not yield 9, so -9 is incorrect.

Option 5: None of the options. Since we have verified that -7 is the correct interpretation, this option is not true.

Which of the following decimal numbers is equal to 1111 1111 1111 10012SC (16 bit two’s complement representation)单项选择题

类似问题

Convert the following two's complement representation to base 10 form. 1101

Convert to two's complement. -19

Solve the problem in two's complement notation. 1001+0100

Below is a two’s compliment binary number: 11110100 Please write it’s base 10 value in the space provided.

Below is a 2's complement binary number: 10101101 Please write its base 10 value in the space provided.

Suppose that 16-bit two's complement numbers are being employed. Consider the bit pattern: 1111 1111 1110 0100 What decimal integer most likely corresponds to these sixteen bits:

Suppose that 12-bit two's complement numbers are being employed. What decimal integer would give rise to the twelve-bit sequence 1111 1110 0010:

Suppose that 8-bit two's complement numbers are being employed. What bit pattern corresponds to the decimal integer value −50 (negative fifty):

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单