Answer:
(a) 58
(b) 447
(c) 16534
Explanation:
Since these integers are in hexadecimal format, it is worthy to know or note that;
A => 10
B => 11
C => 12
D => 13
E => 14
F => 15
Therefore, using these, let's convert the following to decimal:
(a) 3A = 3 x + 10 x
=> 3A = 48 + 10
=> 3A = 58 (in decimal)
(b) 1BF = 1 x + 11 x + 15 x
=> 1BF = 256 + 176 + 15
=> 1BF = 447 (in decimal)
(c) 4096 = 4 x + 0 x + 9 x + 6 x
=> 4096 = 4 x 4096 + 0 + 144 + 6
=> 4096 = 16534 (in decimal)
Note:
Do not forget that any number greater than zero, when raised to the power of zero gives 1.
For example,
= 1
= 1
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To put it briefly, a byte is equivalent to a <em>character</em> in that it encodes a single character, being this in the form of a<u> letter, number, or symbol.</u>
A byte is the smallest unit of storage memory on any modern computer. This byte is commonly made up of<u> eight bits</u>, a combination of binary digits used to represent data. The hierarchy of computer memory is as follows:
- 1 byte
- 1 kilobyte
- 1 megabyte
- 1 gigabyte
- 1 terabyte
The statement "<em>A byte is equivalent to a character</em>" is quite literal in its meaning given that through the use of the bits that comprise it, a byte is used to represent and store the data for a single character of text, being that a <u>letter, number or at times a symbol.</u>
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