Topic 5.4 - Binary Number System

Question 1

What is the difference between signed and unsigned binary?

Answer 1

Unsigned binary can only have positive numbers.
Signed binary can be both positive and negative numbers.

Question 2

Convert 0110 1101 to Denary.

Answer 2

109

Question 3

Convert 75 to Binary

Answer 3

0100 1011

Question 4

In 8-bit unsigned binary, what is the range of possible values?

Answer 4

0 to 255

Question 5

In 8-bit unsigned binary, what is the total amount of possible values?

Answer 5

256

Question 6

In 8 bit signed binary, what is the range of possible values

Answer 6

-128 to 127

Question 7

What is 10011011 + 01001011

Answer 7

155 + 75 = 230

Question 8

what is 00101110 * 0111

Answer 8

46 x 7 = 322

Question 9

What is the method used to represnt negative integers

Answer 9

Two’s complement

Question 10

What are the three stages of two’s complement

Answer 10

• Write the positive number in binary
• Flip all the bits
• Mathematically add 1 to the result

Question 11

What is the method for performing a binary subtraction, using two’s complement

Answer 11

• Determine the 2’s complement of the smaller number.
• Add this to the larger number.
• Omit the carry. Note that there is always a carry in this case.

Question 12

What is the formula to find the range of bits if we are given that the number of bits is ‘n’.

Answer 12

The range would be 0 to (2^n) - 1