converting between binary & hexadecimal
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11 Terms
define nibble.
a nibble is a group of four bits.
what is the definition of binary?
binary is a base-2 number system that uses only 0 and 1 to represent all values.
true or false?
each digit in a hexadecimal number represents a binary nibble.
true.
define denary.
denary is the base-10 number system, which uses digits from 0 to 9.
what does hexadecimal mean?
hexadecimal is a base-16 number system that uses 16 digits: 0-9 and A-F.
state the method in terms of X for converting binary to hexadecimal.
split X (binary number) into 2 × nibbles (4-bits)
convert each nibble to its denary value
represent each denary value as a hexadecimal digit.
example: 11011001 = 1101 (13=D), 1001 (9) = D9
true or false?
to convert hexadecimal to binary, you split the digits apart and convert each to a binary nibble.
true.
what is the definition of bit?
a bit is a basic unit of information in computing, representing either a 0 or 1.
define byte.
a byte is a unit of digital information that consists of 8 bits.
convert binary to hexadecimal
128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
|---|---|---|---|---|---|---|---|
1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 |
8 | 4 | 2 | 1 |
|---|---|---|---|
1 | 1 | 1 | 0 |
8 | 4 | 2 | 1 |
|---|---|---|---|
1 | 0 | 0 | 0 |
1110 = 14 (E)
1000 = 8
answer: E8
convert hexadecimal 4B to binary.
8 | 4 | 2 | 1 |
|---|---|---|---|
0 | 1 | 0 | 0 |
8 | 4 | 2 | 1 |
|---|---|---|---|
1 | 0 | 1 | 1 |
combine to create an 8-bit value
answer: 01001011