BIO
3 Representing Numbers HOF 3.pdf

# 3 Representing Numbers HOF 3.pdf - More Examples of...

• 8

This preview shows pages 1–3. Sign up to view the full content.

EECS 1520 Week 4.2 January 24, 2018 page 1 More Examples of Arithmetic in Ten's Complement +5 05 -4 96 + -6 + 94 + +6 + 06 -1 99 +2 02 -2 98 -5 95 95 + -4 + 96 - +3 - 03 + 97 -6 94 -8 92 subtraction reduces to addition because A B = A + ( B) easy to convert a positive number to its negative counterpart, and a negative number to its positive counterpart. Two's Complement Representation negative numbers are represented by: x x n 2 used in computers because subtraction reduces to addition simpler circuits

This preview has intentionally blurred sections. Sign up to view the full version.

EECS 1520 Week 4.2 January 24, 2018 page 2 To form a negative number: start with the positive version of the number flip the bits: 0 1 and 1 0 add 1 to the number produced in the previous step This is what the evaluation of x n 2 reduces to in binary arithmetic. Rewrite this as 1 1 2 x n . Evaluating x n 1 2 is equivalent to “flipping the bits (binary digits)” in x . All that remains is to add the 1 back in that was removed earlier.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern