Binary and Hex Flashcards

OCR GCSE J277 Computer Science specification

Binary

A number system using base-2, consisting of only 0s and 1s.

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Terms in this set (17)

1

Binary

A number system using base-2, consisting of only 0s and 1s.

2

Hexadecimal

A number system using base-16, consisting of digits 0-9 and letters A-F.

3

Denary to Binary Conversion

Divide the number by 2 repeatedly, recording remainders. Read remainders from bottom to top.

4

Binary to Denary Conversion

Multiply each binary digit by its place value (powers of 2) and sum the results.

5

Denary to Hexadecimal Conversion

Divide the number by 16 repeatedly, recording remainders. Convert remainders to hexadecimal digits.

6

Hexadecimal to Denary Conversion

Multiply each hexadecimal digit by its place value (powers of 16) and sum the results.

7

Binary to Hexadecimal Conversion

Group binary digits into 4-bit chunks starting from the right, then convert each chunk to hexadecimal.

8

Hexadecimal to Binary Conversion

Convert each hexadecimal digit into its 4-bit binary equivalent.

9

Binary Addition

Add binary digits column by column. Carry over if the sum exceeds 1.

10

Binary Overflow

Occurs when the result of a binary addition exceeds the number of bits available.

11

Left Binary Shift

Shifts all bits to the left, multiplying the number by 2 for each shift.

12

Right Binary Shift

Shifts all bits to the right, dividing the number by 2 for each shift.

13

Character Representation

Characters are represented using binary codes, such as ASCII or Unicode.

14

ASCII

A character set using 8-bit binary codes to represent characters.

15

Unicode

A character set that supports a wider range of characters than ASCII.

16

Why Binary is Used

Computers use binary because they operate with two states: on (1) and off (0).

17

Binary laws

0+0=0 1+0=1 1+1=0(carry over the 1) 1+1+1 = 1

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