Section 4: Data Rep - Conversions

Question 1

How do you convert decimal to binary?

Answer 1

1. Draw an 8 bit binary table
   2.Move along the table right to left, subtracting the number in each column from your total
   3.Put a 0 for every negative number
   and put a 1 for a positive number and continue with that total

Question 2

How do you convert binary into decimal?

Answer 2

1.Draw binary place value columns
2.Enter the binary value from right to left
3.Add up the values in the column which have a 1 in them and ignore the ones with 0

Question 3

Binary addition:
- 1 + 1
- 1 + 0
- 1 + 1 + 1

Answer 3

1 + 1 = 0 carry the 1
1 + 1 = 1
1 + 1 + 1 = 1 carry the 1

Question 4

Binary shift left

Answer 4

Every place shifted left the number is doubled (MULTIPLY)

Question 5

Binary shift right

Answer 5

For every place shifted right the number is HALVED

Question 6

What is hexadecimal?

Answer 6

Uses base16 and a combination of numerals and letters to represent a number

Question 7

Converting Hex to Decimal

Answer 7

1. Draw a table in powers of 26 and enter the hex number from right to left
   2.Multiply the digits by their column numbers
   3.Add up the results

Question 8

Converting Decimal to Hex

Answer 8

1.First divide the decimal number by 16
2. Enter the answer and its remainder from right to left in the table
3.Divide the remained from the previous calculation by 1 (columns)

Question 9

Converting Binary into Hex

Answer 9

1. Split the binary into 2 nibbles
   2.Draw two binary tables (columns 8 - 1)
   3.For both nibbles add up the numbers with a 1 in the columns and convert to hex
   4.Put the two values together

Question 10

Hex Numerical Values

Answer 10

10 - A
11 - B
12 - C
13 - D
14 - E
15 - F

Question 11

Converting hex to binary

Answer 11

1.Split the hexadecimal number apart (like nibbles) and find the decimal value of each digit
2.Find the binary value by entering them into the two tables
3.Put the two nibbles together