hexadecimalWe usually write numbers in decimal form (or base 10), meaning numbers arecomposed using 10 different “digits” f0; 1; : : : ; 9g. Sometimes though it is useful to write numbers hexadecimal or base 16. Now there are 16 distinct digits that can be used to form numbers: f0; 1; : : : ; 9;A; B; C;D; E; Fg. So for example, a 3 digit hexadecimal number might be 2B8. (a) How many 2-digit hexadecimals are there in which the first digit is E or F? Explain your answer in terms of the additive principle (using either events or sets). (b) Explain why your answer to the previous part is correct in terms of the multiplicative principle (using either events or sets). Why do both the additive and multiplicative principles give you the same answer? (c) How many 3-digit hexadecimals start with a letter (A-F) and end with a numeral (0-9)? Explain. (d) How many 3-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)? Explain.
Operations
In mathematics and computer science, an operation is an event that is carried out to satisfy a given task. Basic operations of a computer system are input, processing, output, storage, and control.
Basic Operators
An operator is a symbol that indicates an operation to be performed. We are familiar with operators in mathematics; operators used in computer programming are—in many ways—similar to mathematical operators.
Division Operator
We all learnt about division—and the division operator—in school. You probably know of both these symbols as representing division:
Modulus Operator
Modulus can be represented either as (mod or modulo) in computing operation. Modulus comes under arithmetic operations. Any number or variable which produces absolute value is modulus functionality. Magnitude of any function is totally changed by modulo operator as it changes even negative value to positive.
Operators
In the realm of programming, operators refer to the symbols that perform some function. They are tasked with instructing the compiler on the type of action that needs to be performed on the values passed as operands. Operators can be used in mathematical formulas and equations. In programming languages like Python, C, and Java, a variety of operators are defined.
hexadecimalWe usually write numbers in decimal form (or base 10),
meaning numbers arecomposed using 10 different “digits” f0; 1; : : : ; 9g.
Sometimes though it is useful to write numbers hexadecimal or base
16. Now there are 16 distinct digits that can be used to form numbers:
f0; 1; : : : ; 9;A; B; C;D; E; Fg. So for example, a 3 digit hexadecimal
number might be 2B8.
(a) How many 2-digit hexadecimals are there in which the first digit
is E or F? Explain your answer in terms of the additive principle
(using either events or sets).
(b) Explain why your answer to the previous part is correct in terms
of the multiplicative principle (using either events or sets). Why
do both the additive and multiplicative principles give you the
same answer?
(c) How many 3-digit hexadecimals start with a letter (A-F) and end
with a numeral (0-9)? Explain.
(d) How many 3-digit hexadecimals start with a letter (A-F) or end
with a numeral (0-9) (or both)? Explain.
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