Definition of Two's Complement?

I've been reading over a couple of questions/answers here:twos-complement-in-pythonis-twos-complement-notation-of-a-positive-number-the-same-numberSomeone gave some sample code to create a two's complement of a number:def twos_comp(val, bits): """compute the 2's compliment of int value val""" if( (val&(1<<(bits-1))) != 0 ): val = val - (1<<bits) return valIn addition someone defined two's complement as thus: Two's complement notation uses the n-bit two's complement to flip the sign. For 8-bit numbers, the numbe...Read more

7bit - Seven bit and two compliment

If we use seven-bit two's complement binary representation for integers, what isThe number of integers (things) that can be represented in this way?The smallest (most) negative integer that can be represented in this way?The largest positive integer that can be represented in this way?This is a CS homework question that I am having trouble answering and explaining. Any help would be appreciated....Read more

7 bit - Seven bit and two compliment

If we use seven-bit two's complement binary representation for integers, what isThe number of integers (things) that can be represented in this way?The smallest (most) negative integer that can be represented in this way?The largest positive integer that can be represented in this way?This is a CS homework question that I am having trouble answering and explaining. Any help would be appreciated....Read more

fixed point subtraction for two's complement data

I have some real data. For example +2 and -3. These data are represented in two's complement fixed point with 4 bit binary value where MSB represents the sign bit and number of fractional bit is zero.So +2 = 0010-3 = 1101addition of this two numbers is (+2) + (-3)=-1(0010)+(1101)=(1111)But in case of subtraction (+2)-(-3) what should i do?Is it needed to take the two's complement of 1101 (-3) again and add with 0010?...Read more

represent negative number with 2' complement technique?

I am using 2' complement to represent a negative number in binary formCase 1:number -5According to the 2' complement technique:Convert 5 to the binary form:00000101, then flip the bits11111010, then add 100000001=> result: 11111011To make sure this is correct, I re-calculate to decimal:-128 + 64 + 32 + 16 + 8 + 2 + 1 = -5Case 2: number -240The same steps are taken:11110000000011110000000100010000 => recalculate this I got 16, not -240I am misunderstanding something?...Read more

One's complement adder

I am not sure this is the proper section of the forum, in case please just let me know.I am studying Computer Organization and Design, and the legendary Patterson & Hannessy states that "One's complement adders did need an extra step to subtract a number and hence two's complements dominates today".What is the extra operation that does an one's complement require?...Read more

riscv - Does RISC-V mandate two's complement or one's complement signedness, or is it implementation-determined?

I have looked through the ISA spec and searched the internet for the answer to this, but I could not find it.In the RISC-V ISA, should negative numbers be represented with one's complement or two's complement? Or, is this decision left to implementors?The reason I ask is that I am writing an RV32I simulator, and this would affect how I store negative numbers in the simulated memory, for example....Read more

Need explanation regarding the idea of two's complement

Can you please explain the solution for the below problem?I do not understand how we arrive to this conclusion −2^(n−1) + 2^(n−1) −1 −xEspecially I am confused why we need to subtract xYou obtain the representation for a negative number in two’s complement method by takingone’s complement of a number and then adding one. Why does it work? What is the key idea behind two’s complement representation?Answer: The key idea is to treat the sign bit as a value with a negative sign. In a n-bit representation,the value of the sign bit is -2^n1 .When you...Read more

What is the maximum and minimum values can be represented with 5-digit number? in 2's complement representation

What is the maximum and minimum values can be represented with 5-digit number that is assuming 2's complement representation?do I find the the min and maximum value of 5-digit numbers, which are 00000 and I'm not sure what the max is. Then convert to two's complement? This sounds stupid, but it's the only one I can come up with... my last question is: What is the minimum register length in a processor required to store values between –EA(base16) and24(base16) assuming they are stores using the 2’s complement format? I'm not sure how to attack ...Read more

Two's complement of a binary with fraction

The question is to find the 2's complement of the binary number (-00101.110) in 8 bits.So I don't understand what to do with the fractional part. I think the 1's complement will be 11010.001Is 11010.010 the 2's complement? And are these the 8 bits that I need as my final answer of the 2s complement of -00101.110?...Read more