Binary

Question 1

Binary - Denary Conversion

Answer 1

Place all of the binary digits into columns, labelled from 1 to 128, going up in powers of 2 from right to left.
Where there are 1s, add the number of the column to the total until you have reached the end of the binary number.
e.g.
10011101
128 64 32 16 8 4 2 1
1 0 1 1 1 1 0 1
=128 + 32 + 16 + 8 + 4 + 1
= 189

Question 2

Denary - Binary Conversion

Answer 2

Write out the powers of 2 from 1 to 128 from right to left.
Subtract the largest of these that can be subtracted from the number and place a one underneath each column. For any columns that cannot be subtracted from the number, place a zero. Repeat until there is a binary digit in each of the columns.
e.g.
37
128 64 32 16 8 4 2 1
0 0 1 0 0 1 0 1
= 00100101

Question 3

Binary

Answer 3

This means base 2.
It uses only 1s and 0s.
Each binary digit is called a bit.

Question 4

Nibble

Answer 4

4 bits

Question 5

Byte

Answer 5

8 bits

B

Question 6

Kilobyte

Answer 6

1000 bytes
or 8000 bits
KB

Question 7

Megabyte

Answer 7

1000 Kilobytes
or 1 million bytes
or 8 million bits
MB

Question 8

Gigabyte

Answer 8

1000 Megabytes
or 1 million Kilobytes
or 1,000,000,000 bytes
or 8,000,000,000 bits
GB

Question 9

Terabyte

Answer 9

1000 Gigabytes
or 1 million Megabytes
or 1,000,000,000 Kilobytes
or 1,000,000,000,000 Bytes
or 8,000,000,000,000 bits
TB

Question 10

Petabyte

Answer 10

1000 Terabytes
or 1 million Gigabytes
or 1,000,000,000 Megabytes
or 1,000,000,000,000 Terabytes
or 1,000,000,000,000,000 bytes
or 8,000,000,000,000,000 bits
PB

Question 11

Hexadecimal

Answer 11

Base 16

Question 12

Denary - Hex Conversion

Answer 12

Divide the denary number by 16.
The integer produced is the left number.
The remainder become the right character.
For remainders 9 to 15, place a letter A to F as the right character.
For remainders 1 to 9, place the equivalent number.

Question 13

Hex - Denary Conversion

Answer 13

Convert the right chracter to a number.
Multiply the left number by 16.
Add the converted number to the product.

Question 14

Binary - Hex Conversion

Answer 14

Split the binary code into two nibbles.
Convert each nibble to hex value.
Rejoin the values.
e.g.
01011010
0101  1010
0101 = 5    1010 = 10 = A
5A

Question 15

Hex - Binary Conversion

Answer 15

Split the two hex characters
Convert each to binary.
Rejoin the two nibbles formed.
7C
7   C
7 = 0111
C = 12 = 1100
01111100