1.2.4 Data Storage (Numbers)

Question 1

convert 56 into binary numbers

Answer 1

00111000

Question 2

convert 00111 into denary

Answer 2

7

Question 3

Add the following 11100011 + 10001111 =

Answer 3

101110010

Question 4

Explain overflow

Answer 4

When a value needs to go in more than 8 bit columns and won’t be stored.

Question 5

What are the errors that might occur in overflow?

Answer 5

The value that overflows is lost and not stored

Question 6

Convert this hexidecimal into denary:

EE

Answer 6

(16 x 14) + (1 x 14) = 238

Question 7

Convert this denary into hexidecimal:

35

Answer 7

128  64  32  16  8  4  2  1
  0    0     1     0  0  0  1   1
8  4  2  1                   8  4  2  1
0  0  1  0                   0  0  1  1
2=2                            3=3
hexidecimal = 23

Question 8

Convert this binary into hexadecimal, 0 0 1 1 1 1 0 1

Answer 8

128  64  32  16  8  4  2  1
 0      0    1     1   1   1   0  1
8  4  2  1         8  4  2  1
0  0  1   1         1   1   0  1
3=3                 13=D
hexidecimal= 3D

Question 9

Convert this hexidecimal into binary:

6A

Answer 9

8 4 2 1 8 4 2 1
0 1 1 0 1 0 1 0
binary = 01101010

Question 10

Shift this binary to the right to double

0010

Answer 10

8 4 2 1
0 0 1 0 = 2
0 1 0 0 = 4