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WorksheetsUnderstanding Data Representation and Logic
Total questions: 15
Worksheet time: 3mins
What is the binary equivalent of the decimal number 10?
1001
1011
1010
1100
Convert the octal number 17 to decimal.
16
14
12
15
What is the hexadecimal representation of the decimal number 255?
FF
FE
F1
F0
Define ASCII and its purpose in data representation.
ASCII is a character encoding standard used for representing text in computers.
ASCII is a graphical user interface for operating systems.
ASCII is a programming language for software development.
ASCII is a type of computer hardware used for data storage.
What is the 1's complement of the binary number 1010?
1110
0010
0101
1001
Explain the function of an AND gate using a truth table.
The truth table for a 2-input OR gate is: | A | B | Output | |---|---|--------| | 0 | 0 | 1 | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |
An AND gate outputs 0 for all input combinations.
The truth table for a 2-input NAND gate is: | A | B | Output | |---|---|--------| | 0 | 0 | 1 | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |
The truth table for a 2-input AND gate is: | A | B | Output | |---|---|--------| | 0 | 0 | 0 | | 0 | 1 | 0 | | 1 | 0 | 0 | | 1 | 1 | 1 |
What is the output of a NOR gate when both inputs are true?
false
true
high
undefined
Describe the difference between a half adder and a full adder.
A half adder adds two bits without carry input; a full adder adds three bits including carry input.
A half adder is used for decimal addition; a full adder is used for binary addition.
A half adder can add four bits; a full adder can only add two bits.
A half adder adds two bits with carry input; a full adder adds two bits without carry input.
How do you perform binary addition of the numbers 1011 and 1101?
10100
10010
11000
1110
What is the purpose of a multiplexer in digital circuits?
To store multiple input signals for later use.
To convert analog signals into digital signals.
The purpose of a multiplexer is to select and route one of multiple input signals to a single output line.
To amplify a single input signal for better clarity.
Explain how floating-point numbers are represented in binary.
Floating-point numbers are represented in binary using the IEEE 754 standard, consisting of a sign bit, exponent, and fraction.
Floating-point numbers use a single bit for representation.
Floating-point numbers are stored as hexadecimal values in binary.
Floating-point numbers are represented as integers in binary.
What is the 2's complement of the binary number 0110?
1010
0111
1001
1100
List the basic logic gates and their corresponding symbols.
NOT (!)
AND (∧)
AND (•), OR (+), NOT (¬), NAND (↑), NOR (↓), XOR (⊕), XNOR (⊙)
OR (∨)
How would you implement a full adder using basic logic gates?
Use one XOR gate for sum and two OR gates for carry.
Use three AND gates for sum and two XOR gates for carry.
Use two XOR gates for sum, two AND gates and one OR gate for carry.
Use one NAND gate for sum and one NOR gate for carry.
What is the significance of Unicode in data encoding?
Unicode limits data interchange to specific systems.
Unicode provides a standardized way to encode text, supporting multiple languages and symbols, facilitating data interchange and consistency across different systems.
Unicode is only used for English text encoding.
Unicode is a proprietary encoding format for software developers.
