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Binary and Hex Flashcards
OCR GCSE J277 Computer Science specification
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Binary
A number system using base-2, consisting of only 0s and 1s.
Hexadecimal
A number system using base-16, consisting of digits 0-9 and letters A-F.
Denary to Binary Conversion
Divide the number by 2 repeatedly, recording remainders. Read remainders from bottom to top.
Binary to Denary Conversion
Multiply each binary digit by its place value (powers of 2) and sum the results.
Denary to Hexadecimal Conversion
Divide the number by 16 repeatedly, recording remainders. Convert remainders to hexadecimal digits.
Hexadecimal to Denary Conversion
Multiply each hexadecimal digit by its place value (powers of 16) and sum the results.
Binary to Hexadecimal Conversion
Group binary digits into 4-bit chunks starting from the right, then convert each chunk to hexadecimal.
Hexadecimal to Binary Conversion
Convert each hexadecimal digit into its 4-bit binary equivalent.
Binary Addition
Add binary digits column by column. Carry over if the sum exceeds 1.
Binary Overflow
Occurs when the result of a binary addition exceeds the number of bits available.
Left Binary Shift
Shifts all bits to the left, multiplying the number by 2 for each shift.
Right Binary Shift
Shifts all bits to the right, dividing the number by 2 for each shift.
Character Representation
Characters are represented using binary codes, such as ASCII or Unicode.
ASCII
A character set using 8-bit binary codes to represent characters.
Unicode
A character set that supports a wider range of characters than ASCII.
Why Binary is Used
Computers use binary because they operate with two states: on (1) and off (0).
Binary laws
0+0=0 1+0=1 1+1=0(carry over the 1) 1+1+1 = 1

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