BINARY

TOPIC 02 – NEGATIVE NUMBERS

LESSON WORK

NOTE

You will be permitted a one-page handwritten cheat sheet on this quiz. You may include any information you want on the sheet as long as it is in your hand writing. Your name must be on the cheat sheet and you must submit it along with the quiz.

So you may wish to create a cheat sheet as you go.

TASK 1A

Convert the following numbers from binary to decimal knowing that they are in Signed Magnitude form.

1000 1010
0010 1000

1100 0001

TASK 1B

Convert the following numbers from decimal to Signed Magnitude from in binary.

17
-17
-100

TASK 1C

Consider the binary numbers below that are unsigned. What is their negative equivalent in Signed Magnitued?

0010 0001
0110 0110

1011 0111 (will require more bits, multiple possible solutions)

TASK 2A

Give the One's Complement of the following unsigned binary numbers.

0101 1010
0110 1100
1001 1001

TASK 2B

Consider the decimal numbers below. Convert them to One's Complement form in binary.

17
-17
-113

TASK 2C

Consider the One's Complement binary numbers below. Convert them to decimal.

0110

1010

0101

TASK 3A

Convert the following decimal numbers to Two's Complement form.

43

-43
-104

TASK 3B

Convert the following Two's Complement forms in binary to decimal.

1001 1001
1100 0110
0101 1011

TASK 4A

Convert the following decimal numbers to Offset binary form with starting point -128.

-128
10
53

TASK 4B

Convert the following Offset Binary form numbers (starting point -128) to decimal.

0000 0010
0100 1001
1100 1011

TASK 5A

Convert the following Base -2 numbers to decimal.

0110 0111
1011 0100

0101 0101

TASK 5B

Convert the following decimal numbers to Base -2 form in binary.

45

-101

-59

TASK 6

Of the five discussed methods to represent negative numbers in binary, which one is used in all (or almost all) computer systems today?