Negative+Binary+Number+Questions

1. Using two’s complement convert the following positive binary numbers to their negative equivalent using 8 bits. (a) 00001010 (b) 01110001 (c) 01010011 (d) 00111000 (e) 1010101 (f) 1

2. Convert the following numbers into the binary equivalent using 8 bits. (a) -46 (b) -89 (c) -127 (d) -18 (e) 0 (f) -122

Use this [|Two's Complement Calculator] to check your answers

3. What is the range of numbers (positive and negative) that can be represented by 4 bits?

4. What is the range of numbers (positive and negative) that can be represented by 8 bits?

5. If you only have 8 bits how can you quickly tell whether the number is positive or negative?

6. Negative numbers used to be represented by placing a 1 in the most significant bit. Why was this unworkable?