Binary

Question 1

Sign and Magnitude

Answer 1

1 = negative
0 = positive
Does not represent 128 anymore!!

Question 2

Negative value using Two’s Complement

Answer 2

1) Write out positive number in binary
2) Starting from the right, copy all 0s until you get to the first 1 (keep the first 1 too)
3) Flip each value

Question 3

Convert a negative binary value to denary

Answer 3

1) Change the last left digit to a - (1)
2) Then add the 1s together and put a - on your answer

Question 4

0 + 0

Answer 4

0

Question 5

0 + 1

Answer 5

1

Question 6

1 + 1

Answer 6

0 carry 1

Question 7

1 + 1 + 1

Answer 7

1 carry 1

Question 8

What happens if there isn’t enough room for a result?

Answer 8

Overflow error occurs as there is no room for a carry so the bit is carried to a future calculation

Question 9

Binary Subtraction

Answer 9

1) Write out first number on top in positive binary
2) Change the second number to its negative equivalent (change first number to a 1)
3) Carry out binary addition on the 2 numbers

Question 10

Exponent Fractions

Answer 10

1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128 with decimal between the 1 and the 1/2