Perform the Binary Operations as indicated.1. 11111 + 100012. 111001 - 100103. 1111 x 10104. 111101/101
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Define:1. Number system2. Decimal Number system3. Binary Number System4. Octal Number system5. Hexadecimal Number System6. Compliments7. Logic Function8. Boolean Algebra9. Truth table10. Boolean Expression11. Logic Gate12. AND Gate 13. OR Gate14. NOT Gate15. NAND Gate16. NOR Gate17. X-O...
Define:
1. Number system
2. Decimal Number system
3. Binary Number System
4. Octal Number system
5. Hexadecimal Number System
6. Compliments
7. Logic Function
8. Boolean Algebra
9. Truth table
10. Boolean Expression
11. Logic Gate
12. AND Gate
13. OR Gate
14. NOT Gate
15. NAND Gate
16. NOR Gate
17. X-OR Gate
18. X-NOR Gate
19. Universal gate
20. Duality Principle
21. Venn diagram
22. Base of Number System
Answers:
1. Number System- It refers to the digits, its arrangements, positional weight and the base of the number system.
2. Decimal Number system- A number system having base or radix 10 is known as decimal number system.
3. Binary Number System- A number system having base or radix 2 is known as binary number system.
4. Octal Number system- A number system having base or radix 8 is known as octal number system.
5. Hexadecimal Number System- A number system having base or radix 16 is known as hexadecimal number system.
6. Compliments- It is a process of representing the negative numbers or bits in a digital computer system.
7. Logic Function- It is an expression expressed algebraically with binary variables, logical operation symbols, parenthesis and equal sign is known as logic function.
8. Boolean Algebra- It is the branch of mathematics that includes methods for manipulating logical variables and logical expressions.
9. Truth table- It can be defined as a table which represents the input-output relationship of the binary variables for each gate.
10. Boolean Expression- It is a string of symbols representing logical variables and logical operations which is evaluated to give a logical value.
11. Logic Gate- It is an electronic circuit which generates only one output signal from one or more input signals. The different logic gates are AND, OR, NOT, NAND, NOR, XOR, XNOR.
12. AND Gate- It generates 1 or true or ON output if all the inputs are 1 or true or ON, otherwise; it generates 0 or OFF or false output.
13. NOT Gate- It generates 1 or true or ON output if the input is false, otherwise; it generates 0 or false or OFF output. Therefore, it is also known as Inverter.
14. OR Gate- It generates 1 or true or ON output if at least any one of the inputs; is true, otherwise; it generates 0 or false or OFF output.
15. NAND Gate- It generates 1 or true or ON output if at least any one of the input is false, otherwise; it generates 0 or false or OFF output.
16. NOR Gate- It generates 1 or true or ON output if all the inputs are false, otherwise; it generates 0 or false or OFF output.
17. X-OR Gate- It generates 1 or true or ON output if the number of 1 or true or ON input is odd, otherwise; it generates 0 or false or OFF output.
18. X-NOR Gate- It generates 1 or true or ON output if the number of 1 or true or ON input is even, otherwise; it generates 0 or false or OFF output.
19. Universal Gate- It is a gate which can implement any Boolean function without using any other types of gates. NAND and NOR gates are known as universal gates.
20. Duality Principle- Dual of a Boolean expression can be obtained by replacing AND (.) with OR (+) and vice versa, 1 with 0 and vice versa keeping variables and complements and variables unchanged.
21. Venn diagram- It is an illustration of the relationships among sets, groups of objects that share something in common.
22. Base of Number System- The total number of digits used in that number system is called base of number system.
