converting between denary & hexadecimal
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10 Terms
what is hexadecimal?
hexadecimal is a number system with 16 digits.
true or false?
hexadecimal uses 16 digits.
true.
what is the relationship between hexadecimal and a binary nibble?
one hexadecimal digit represents four bits of binary data.
define nibble.
a nibble is four digits of binary data or half a byte.
what is the non-mathematical method for converting denary to hexadecimal?
convert denary to binary, split into nibbles, then convert each nibble to hexadecimal.
what is the mathematical method for converting denary to hexadecimal.
divide denary by 16 and record the whole times (hex digit 1) and remainder (hex digit 2).
example: denary 160 to hexadecimal = 160 ÷ 16 = 10 (A)
what is the non-mathematical method for converting hexadecimal to denary?
convert each hexadecimal digit to 4-bit binary, join nibbles, then convert binary to denary.
what is the mathematical method for converting hexadecimal to denary?
multiply the first by 16, then add the second digit.
example: hexadecimal B4 to denary = B(11) × 16 = 176 + 4 = 180
convert denary 45 to hexadecimal.
128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
|---|---|---|---|---|---|---|---|
0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 |
split in to 2 nibbles (4-bits)
0010 = 2
1101 = 13(D)
answer = 2D
convert hexadecimal E7 to denary.
8 | 4 | 2 | 1 |
|---|---|---|---|
1 | 1 | 1 | 0 |
8 | 4 | 2 | 1 |
|---|---|---|---|
0 | 1 | 1 | 1 |
combine to create an 8-bit value and convert to denary
11100111 = 231