A comprehensive summary of IT Theory on a Grade 10 Level. It contains all the necessary information in a colourful, table format.
All information has been typed for improved legibility. These notes have been used by hundreds of learners throughout my school (including myself) and is guaranteed to...
Binary Decimal Decimal
● Continuously divide by 2 ● Order the binary number in ● Order the hex number in
● Write down the remainder columns with increasing columns with increasing
● Repeat until the quotient is 0 powers of 2 powers of 16
● Read the remainders from ● Going from right to left, ● Going from right to left,
bottom to top starting at 0 starting at 0
● Multiply the bit by the ● Multiply the integer value
Base 140 Remainder
power of 2 in its column by the power of 16 in its
2 70 0 column
2 35 0 27 26 25 24 23 22 21 20 161 160
2 17 1 1 0 0 0 1 1 0 0
8 C
2 8 1
2 x 1 = 128 +
7
2 x0=0 6
8 x 161 12 x 160
2 4 0 25 x 0 = 0 + 24 x 0 = 0
2 x1=8
3
+ 22 x 1 = 4
128 12
2 2 0
2 x0=0
1
+ 20 x 0 = 0
1000 11002 = 14010
2 1 0 128 + 12 = 140
2 0 1
8C16 = 14010
14010 = 1000 11002
Hexadecimal Hexadecimal Binary
● Continuously divide by 16 ● Number of bits must be a ● First convert to decimal as
● Write down the remainder multiple of 4 shown above
● Repeat until the quotient is 0 ● Leading zeros must be ● Then use the decimal
● Read the remainders from added method to convert to
bottom to top ● Split the binary number into binary
groups of 4 bits
0 1 2 3 4 5 6 7 8 9
● Multiply each bit by the
0 1 2 3 4 5 6 7 8 9 multiple of 2
● Match the Hex value
10 11 12 13 14
1 0 0 0 1 1 0 0
A B C D E
x x x x x x x x
23 22 21 20 23 22 21 20
8C16 = 1000 11002
Base 140 Remainder
8 0 0 0 8 4 0 0
16 8 12
8=8 12 = c
16 0 8
161 162
8=8 12 = C 8=8
8 C
14010 = 8C16
1000 11002 = 8C16
3
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Zeyni. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.01. You're not tied to anything after your purchase.
