Question

In: Computer Science

1a. What is the largest positive and negative number that you could represent with 7 bits...

1a. What is the largest positive and negative number that you could represent with 7 bits using signed magnitude? Show your work.

1c. Solve the following decimal notation equation using 8-bit binary numbers and 2’s complement notation: 69 - 7 =

Show your work

Solutions

Expert Solution

1a. What is the largest positive and negative number that you could represent with 7 bits using signed magnitude? Show your work.

largest positive number that you could represent with 7 bits 
= (2^6) - 1
= 64 - 1
= 63

largest negative number that you could represent with 7 bits
= -1

smallest negative number that you could represent with 7 bits
= -(2^6)
= -64

1c. Solve the following decimal notation equation using 8-bit binary numbers and 2’s complement notation: 69 - 7 =

The leftmost bit of the result is called carry and it is ignored.
So the answer is 00111110

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