Binary
What are the two possible values in binary number system?
0 & 1
How many digits are there in denary number?
10
How many digits are there in Hexadecimal?
16
Explain why computers use binary instead of decimal.
Provide one clear reason.
Computers use binary because electronic components (transistors) have two stable states: ON (1) and OFF (0).
What is 1+ 0 in binary?
1
What is anything to the power of 0?
1
In what base is denary number?
Base 10
Convert hexadecimal F16 to denary.
15
How many different values can be represented with 8 bits?
Show the formula.
Formula: 2ⁿ
2⁸ = 256 values
What is 12 + 12 in binary?
102
What is 35A in binary?
0011 0101 1010
What is 01001012 in denary?
37
Convert the following to hexadecimal 1011 0011 0101
B3516
Write the next binary number after:
0111 1111₂
1000 0000₂
What is 111012 - 112 in binary?
110102
What is 69 in binary?
10001012
What is 12F16 in denary?
303
Convert 219 to hexadecimal.
DB16
You are given the hex number 7F₁₆.
Without converting the whole number, explain how you can immediately tell it's less than 200₁₀.
200₁₀ = C8₁₆.
If you compare 7 and C
7 < C → 7F₁₆ < C8₁₆ (7< C).
What is 1110112 + 1112 in binary?
10000102
What is 269 in binary?
1000011012
What is 1110110112 in denary?
475
Why are hexadecimals used in computer programming?
It's easier to read and detect errors.
Which binary number is larger?
A) 1110 0001₂
B) 1101 1111₂
1110 0001₂ = E1₁₆ = 225₁₀
1101 1111₂ = DF₁₆ = 223₁₀
A) 1110 0001₂
What is 45 - 66 in binary?
111010112