Binary numbers and Integer Representation

Question 1

An n-bit register can hold how many bit patterns?

Answer 1

2^n

Question 2

Range of unsigned integers

Answer 2

0 - 2^(n-1)

Question 3

Range of signed integers

Answer 3

-2^(n-1) to 2^(n-1)-1

Question 4

Steps to negate a number

Answer 4

1. take the one’s complement
2. Add 1 to the result
   (Also works to negate a negative number)

Question 5

What is the one’s complement?

Answer 5

Toggle all 0’s to 1, and vice versa

Question 6

Octal numbers

Answer 6

Base 8
numbers 0-7
Each digit corresponds to a 3-bit pattern