Assume -122 and -66 are signed 8-bit decimal integers. Calculate -122 + (- 66). and -122...

Assume -122 and -66 are signed 8-bit decimal integers. Calculate -122 + (- 66). and -122 - (- 66). Do we have overflow or underflow after each operation? Why?

Expert Solution

Overflow or underflow happens when the result of addition or subtraction is greater or less than than specified range.Overflows do not happen in multiplication and division

im.performing the additions in decimal and then in explaining why overflow or underflow occurs with reference to range of number for this representation

If we have 8 bit signed magnitude no

We have seven bits for number magnitude and 1 bit for sign

Maximum decimal value that can be represented in 7 bit binary is ==127 (when all 7 1's are there in magnitude)

So maximum value in 8 bit signed magnitude is =127 in decimal

If sign bit =1 and all 7 bits are ones then no is -127 this is minimum value in decimal

If we add -122-66=-192

-192 does not lie between -127 to 127 so underflow occurs in final operation when 2 numbers are added.

Second case

Final arithmetic expressions

-122+66 =56

which lies between -127 to 127 so no underflow occurs

If you are having any doubts please ask i will answer asap

venereology answered 2 years ago

a)The decimal equivalent of the signed 2’s complement 8-bit binary number 11010101B is ______________. b)The decimal...

a)The decimal equivalent of the signed 2’s complement 8-bit binary number 11010101B is ______________. b)The decimal equivalent of the unsigned 8-bit hex number 0B4H is ______________. c)The value of the expression ‘H’ – ‘B’ is less than / equal to / greater than that of the expression ‘L’ – ‘C’. d)If the .data segment contains declarations A BYTE 2 DUP (‘a’), ‘+’ B BYTE 3 DUP (‘b’), 0 C BYTE 4 DUP (‘c’), ‘–’ D BYTE ...

2) Show how each of the following signed, decimal integers would be stored in 16-bit two's...

2) Show how each of the following signed, decimal integers would be stored in 16-bit two's complement format. Give your answer in hexadecimal. a) -21 (5 points) b) 4096 (5 points)

Complete the following table. All binary numbers are 8-bit signed integers. (Don't forget to show the...

Complete the following table. All binary numbers are 8-bit signed integers. (Don't forget to show the steps of your solution!) Decimal value Sign-magnitude representation Ones' complement representation Two's complement representation -98 10001011 01110101 10100100 Compute the results of the indicated operations in columns 2 and 3, assuming that the binary numbers represent integers in the formats given by column 1. Identify which of the operations, if any, results in an overflow. (Don't forget to show the steps of your solution!)...

1. Complete the following table using 8-bit representation ((show your work to get credit) Decimal Signed...

1. Complete the following table using 8-bit representation ((show your work to get credit) Decimal Signed Magnitude One’s Complement Two’s Complement 30 -47 0

ASSEMBLY LANGUAGE PROGRAMMING 1. The decimal equivalent of the signed 2’s complement 8-bit binary number 11010101B...

ASSEMBLY LANGUAGE PROGRAMMING 1. The decimal equivalent of the signed 2’s complement 8-bit binary number 11010101B is ______________. 2. The decimal equivalent of the unsigned 8-bit hex number 0B4H is ______________. 3. The value of the expression ‘H’ – ‘B’ is less than / equal to / greater than that of the expression ‘L’ – ‘C’. 4. If the .data segment contains declarations A BYTE 2 DUP (‘a’), ‘+’ B BYTE 3 DUP (‘b’), 0 C BYTE 4 DUP (‘c’),...

Represent -60 in binary using 8-bit signed magnitude. Add the following unsigned 8 bit binary numbers...

Represent -60 in binary using 8-bit signed magnitude. Add the following unsigned 8 bit binary numbers as shown. 01110101 + 00111011 Add the following unsigned 8 bit binary numbers as shown. 01000100 + 10111011

1. Please convert the following decimal numbers to 8-bit binary sign magnitude and to 8-bit 2’s...

1. Please convert the following decimal numbers to 8-bit binary sign magnitude and to 8-bit 2’s complement. Please show your work if there are multiple steps. Sign Magnitude 2’s complement a. +67 b. +40 c. -28 d. -40

Interpret these signed 8-bit sequences with each type of signed/unsigned encoding. Remember the bits are arbitrary!...

Interpret these signed 8-bit sequences with each type of signed/unsigned encoding. Remember the bits are arbitrary! They can be interpreted in many different ways. C.1: Complete the following table using decimal (base-10) numbers. The first line is already completed for you bit sequence unsigned sign-magnitude 1s’ complement 2’s complement 00000101 +5 +5 +5 +5 11110001 ? ? ? ? 01010011 ? ? ? ? 10000000 ? ? ? ? 11111111 ? ? ? ?

Convert -122 to 8-bit sign magnitude, 1's complement and 2's complement

Question

Assume -122 and -66 are signed 8-bit decimal integers. Calculate -122 + (- 66). and -122...

Solutions

Expert Solution

Related Solutions

a)The decimal equivalent of the signed 2’s complement 8-bit binary number 11010101B is ______________. b)The decimal...

2) Show how each of the following signed, decimal integers would be stored in 16-bit two's...

Complete the following table. All binary numbers are 8-bit signed integers. (Don't forget to show the...

1. Complete the following table using 8-bit representation ((show your work to get credit) Decimal Signed...

ASSEMBLY LANGUAGE PROGRAMMING 1. The decimal equivalent of the signed 2’s complement 8-bit binary number 11010101B...

Represent -60 in binary using 8-bit signed magnitude. Add the following unsigned 8 bit binary numbers...

1. Please convert the following decimal numbers to 8-bit binary sign magnitude and to 8-bit 2’s...

Interpret these signed 8-bit sequences with each type of signed/unsigned encoding. Remember the bits are arbitrary!...

Convert -122 to 8-bit sign magnitude, 1's complement and 2's complement

Convert -122 to 8-bit sign magnitude, 1's complement and 2's complement