Number Storage

Question 1

What are the rules for adding binary numbers

Answer 1

0 + 0 = 0
1+ 0 = 1
0 + 1 = 1
1 +1 = 0^1
1 + 1 + 1 = 1^1

Question 2

Compare binary and denary

Answer 2

Binary is a base 2 number system(0 and 1) while densely is a base 10 number system(0 to 9)

Question 3

Add 10001101 and 01001000

Answer 3

11010101

Question 4

Explain what an overflow error is

Answer 4

Occurs when an extra carried bit cannot fit into the bits provided. Leading to a loss of data and a loss of accuracy that could also cause the software to crash.

Question 5

What is a binary shift

Answer 5

Used to divide or multiply binary numbers left or right.
To shift left the amount of digits at the front are moved to the back.(all 0s)
To shift right the amount of digits at the back are moved to the front.

Question 6

Shift left by 4 places 10101101

Answer 6

11010000

Question 7

Shift right by 2 places 01110111

Answer 7

00011101

Question 8

What is hexadecimal

Answer 8

A Base 16 number system using 16 possible values. Used because very few characters are needed compared to write the same value.

This makes it easier for humans as a single hex represents any denary number. And double digit numbers are converted into letters. E.g A9

Question 9

Why is hexadecimal preferred over binary(3)

Answer 9

It’s simple to remember large numbers in hex because double digit numbers are converted into letters. E.g A9.

Because hex is shorter it is less prone to errors

This makes it easier for humans as a single hex represents any denary number making conversion between binary and hex easier than binary and denary.

Question 10

Convert the hex 87 into denary

Answer 10

16 | 1
8 7

8 x 16 = 128
128 + 7 = 135

Question 11

Convert the denary number 106 into hex

Answer 11

106 / 16( table) = 6 remainder 10
16 | 1
6. A
=6A

Question 12

Convert 10110011 from binary into Hex

Answer 12

B3

Question 13

Convert FA from hex to binary

Answer 13

11111010