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Perform the following for each 8 bit binary addition:

add the two binary numbers

interpret all there 8 bit binary numbers as a signed number (2’s complement)

interpret all three 8 bit binary numbers as unsigned numbers



Binary Number

Signed Decimal Value

Unsigned Decimal Value

Number 1

01111001




Number 2

00011110



Sum







Binary Number

Signed Decimal Value

Unsigned Decimal Value


Number 1

00011011



Number 2

00010100



Sum








Binary Number

Signed Decimal Value

Unsigned Decimal Value

Number 1

11110110




Number 2

10000011



Sum

2 Answers

8 votes

Final answer:

Three sets of 8-bit binary numbers are added together, and their sums are interpreted as both signed and unsigned values.

Step-by-step explanation:

Perform addition for each set of 8-bit binary numbers. Then interpret the sums as signed (2's complement) and unsigned numbers.

Set 1:

Number 1: 01111001 (unsigned: 121, signed: 121)

Number 2: 00011110 (unsigned: 30, signed: 30)

Sum: 10000111 (unsigned: 135, signed: -121)

Set 2:

Number 1: 00011011 (unsigned: 27, signed: 27)

Number 2: 00010100 (unsigned: 20, signed: 20)

Sum: 00101111 (unsigned: 47, signed: 47)

Set 3:

Number 1: 11110110 (unsigned: 246, signed: -10)

Number 2: 10000011 (unsigned: 131, signed: -125)

Sum: 01111001 (unsigned: 121, signed: 121)

For calculating the signed decimal value, we consider the leftmost bit as the sign bit. If it's 1, the number is negative, and we calculate the 2's complement to find the magnitude. For unsigned decimal values, we simply convert the binary number to decimal.

User Scaramallion
by
4.6k points
10 votes

Answer:

Where are options?

Step-by-step explanation:

User Maxim Toyberman
by
5.6k points