Question

In: Computer Science

When adding two signed binary numbers , what does it mean when unsigned overflow has occured?...

When adding two signed binary numbers , what does it mean when unsigned overflow has occured?

What is the result of subtracting 1000 from 0001? What, if any, overflows would occur?

Expert Solution

Overflow Flag:

The overflow flag is a single bit status register that indicates the overflow when the arithmetic operation occurred.

Explanation:

When the sign of two additional operands is different then overflow never occurs.

A negative result out of positive operands (or vice versa) is an overflow.

The overflow flag is thus set when the most significant bit (here considered the sign bit) is changed by adding two numbers with the same sign.

The overflow flag is relevant when we are calculating the sum of two signed numbers but it is not relevant to the unsigned number addition.

The overflow flag is turned on in two cases as given below:

If we are doing the sum of two numbers which has sign bits off but the result has the sign bit on then the overflow flag is turned on.
If we are doing the sum of two numbers which has sign bits on but the result has the sign bit off then the overflow flag is turned on.

For example:

0101 + 0100 = 1001 #signed overflow flag is turned on

1001 + 1100 = 0101 #signed overflow flag is turned on

If the carry out of the MSB then carry flag is on but not the overflow flag.

What is the result of subtracting 1000 from 0001? What, if any, overflows would occur?

Let us suppose operands are the unsigned numbers.

To perform the subtraction by addition, we need to perform the 2's complement.

The 2's complement of the subtrahend is: 1000

Now perform the addition operation:

0001 + 1000 = 1001

There is no overflow. So the result is 1001 and it is in 2's complement form.

The final result is(-): 0111

venereology answered 2 years ago

What is a two complements overflow, what is a signed overflow, what is an unsigned overflow,...

What is a two complements overflow, what is a signed overflow, what is an unsigned overflow, what is a carry and what is a borrow. Please feel free to use your own examples. Thank you very much.

Convert the following unsigned numbers to the requested form: 01100001 binary to: hex, and also decimal...

Convert the following unsigned numbers to the requested form: 01100001 binary to: hex, and also decimal Hex: Decimal: b) 136 decimal to: hex, and also binary Hex: Binary:

Overflow. Find out what happens when you try to add two numbers whose sum exceeds the...

Overflow. Find out what happens when you try to add two numbers whose sum exceeds the maximum integer value (just over two billion, one hundred million). Test two billion plus two billion. What result did you get? Explain why overflow happens on a computer. Explain inexact results on integer division such as: 2 / 5 = 0 and 51 / 25 = 2

Represent (in binary and separately) the decimal signed whole numbers 347 and -347 in each of...

Represent (in binary and separately) the decimal signed whole numbers 347 and -347 in each of the following formats: (a) sign-magnitude. (b) 1's complement (c) 2's complement (d) excess-511 For Parts (a), (b) and (c), use the minimum number of bits necessary; for Part (d), use the same number of bits as in Parts (a), (b) and (c). CAUTION: You will earn NO CREDITS if you simply show the final result and not clearly show working (i.e., intermediate steps). (If...

(a) Convert the decimal numbers, 70 and -26 to binary in the signed 2’s complement system....

(a) Convert the decimal numbers, 70 and -26 to binary in the signed 2’s complement system. Make sure there are enough digits in the results to be able to perform arithmetic operations with these two numbers. (b) Perform in the signed 2’s complement system, (+70) + (-26) (c) Perform in the signed 2’s complement system, (-70) - (-26) (d) Perform in the signed 2’s complement system, (+70) + (+26)

1 - Briefly describe overflow. When does it occur? 2 - Briefly describe underflow. When does...

1 - Briefly describe overflow. When does it occur? 2 - Briefly describe underflow. When does it occur? 3 - What decimal number does the bit pattern 1101 1011 represent if it is a: • unsigned integer? • sign-magnitude integer? • two's complement integer? 4 - What decimal number does the bit pattern 0011 1011 represent if it is a: • unsigned integer? • sign-magnitude integer? • two's complement integer? 5 - What is the binary representation of the decimal...

1) What are the hexadecimal, and octal equivalents for the unsigned binary value 0111 0000 1101?...

1) What are the hexadecimal, and octal equivalents for the unsigned binary value 0111 0000 1101? (note the spaces in the binary are for readability (like a comma in a decimal value; there is only a single 12 bit binary value) PLEASE EXPLAIN IT IN DETAIL

What does it mean when an atom has a high polarizability?

What does each line in the code?? Please unsigned Long timer1; unsigned Long button_dbnc_tmr = 0;...

What does each line in the code?? Please unsigned Long timer1; unsigned Long button_dbnc_tmr = 0; const int User_Button = 2; const int USER_LED_Pin = 13; bool allow_change = 0; int counter = 0; int state; void read_state_from_memory(void); void write_state_to_memory(void); void turnoff(void); void flash_1s(void); void flash_2s(void); void flash_3s(void); void setup() { read_state_from_memory(); pinMode(USER_LED_Pin, OUTPUT); Serial.begin(9600); } void loop() { timers(); if(digitalRead(User_Button) == 1) { if(allow_change == 1) { state++; Serial.println(counter); Serial.println(state); allow_change = 0; if(state > 3) state = 0;...

In Verilog, implement a circuit capable of adding and subtracting 8-bit binary numbers. You should submit...

In Verilog, implement a circuit capable of adding and subtracting 8-bit binary numbers. You should submit a single Verilog file that contains all of the necessary modules and also contain a module named top(A, B, sel, F, C). For the selection, use a 0 to select Addition and a 1 to select Subtraction.