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  • How can I convert 2s complement to decimal?
    Suppose I have the 2's complement, negative number 1111 1111 1011 0101 (0xFFBB5) How can I represent this as a decimal number in base 10?
  • binary - Is this an overflow? - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • coding theory - Equivalence of Codes - Mathematics Stack Exchange
    C1= {0000, 1100, 1010, 0110} C2= {0111, 0100, 0010, 0001} C3= {1000, 0100, 0010, 0001} Show that C1 is not equivalent to C3 Is C2 equivalent to C3? When we say two codes are equivalent we mean one can be obtained from the other through repeatedly applying the following two operations to all the codewords:
  • Names of 3 input logic gates - Mathematics Stack Exchange
    There are actually (obviously) 256 such 3-input logic gates You've already got the 2 that depend on no inputs, and the 6 that depend on one input; there are also 30 additional ones that depend only on two of the three inputs (and have names like "A and B" for 0000 0011), and the other 218 depend on all three
  • binary - how are twos complement numbers added? - Mathematics Stack . . .
    Perform the following addition of $2$’s complement numbers Indicate whether or not the sum overflows a $4$-bit result: $1101 + 0100$ If I add, the answer is $10001$ It is five bits, so overflows If I convert the numbers to decimal and add, it is $13 + 4 = 17$ However, the notes say the answer is $0001$, no overflow
  • How to subtract BCD numbers? - Mathematics Stack Exchange
    10's complement of 0101 0110 is 0100 0100 (subtracted 9 from each 4 bit segment and added a $1$ to the last one Notice that this could overflow when finding the 10's complement of $0000$ You would have to correct the BCD number ) Now adding 1001 0011 and 0100 0100: $1001 0011 + 0100 0100=1101 0111$
  • binary - Is it an overflow or not? - Mathematics Stack Exchange
    1101 + 0100 = 0001 is an overflow if it is a wrong answer and not an overflow if it is a correct answer If these are unsigned binary numbers then 13+4=1 is wrong, so there is an overflow In fact, with unsigned binary, a carry out is always an overflow But you have specified 2s-complement binary
  • Finding two s complement of a fractional binary number
    You should add 1 to the least significant bit (LSB) and not to the left of decimal (11010010 0011) + (0 0001) = (11010010 0100) The reason this works is because you can first convert the number to an integer by multiplying it with 2^4=16 (equivalent to shifting the radix point 4 places to the right)
  • truncation in twos complment - Mathematics Stack Exchange
    The four bit two's complement representation of $-4$ is $1100$, which you get by bit complementing $0100$ to get $1011$ then adding one to get $1100$ You are correct that in three bit two's complement notation $100$ is $-4$ decimal
  • Evaluating the decimal equivalent of binary numbers in; sign and . . .
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers





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