Binary Logic
NIOS · Class 12 · Computer Science
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Quick Quiz: Binary Logic
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What is the decimal equivalent of the binary number (1010)₂?
What is the binary representation of the decimal number 13?
What is the octal equivalent of decimal number 19?
What is the hexadecimal equivalent of decimal number 229?
Sample Questions
What is the 1's complement of the binary number 11001?
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00110
The 1's complement is obtained by flipping (inverting) every bit of the binary number. Step 1: Original binary number: 1 1 0 0 1 Step 2: Flip each bit — 1→0, 1→0, 0→1, 0→1, 1→0. Step 3: Result: 0 0 1 1 0 Step 4: So 1's complement of 11001 is 00110. Why others are wrong: 00111 would mean the last bit was not flipped. 11010 is an incorrect partial flip. Remember: every single bit must be inverted.
What is the 2's complement of the binary number 11001?
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00111
The 2's complement is found by taking the 1's complement and adding 1 to the LSB. Step 1: Original number: 11001 Step 2: Find 1's complement by flipping all bits: 00110 Step 3: Add 1 to the LSB: 00110 + 1 = 00111 Step 4: So 2's complement of 11001 = 00111. Formula: 2's complement = 1's complement + 1 Why 00110 is wrong: That is only the 1's complement, not the 2's complement. You must add 1 more.
What does ASCII stand for?
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American Standard Code for Information Interchange
ASCII stands for American Standard Code for Information Interchange. Step 1: ASCII is a character encoding standard used to represent text in computers. Step 2: It assigns a unique numerical value to each character (letters, digits, symbols). Step 3: For example, the uppercase letter 'A' has ASCII value 65, and lowercase 'a' has value 97. Step 4: This allows computers (which only understand numbers) to process text data. Key fact: ASCII values for A-Z range from 65 to 90, and a-z range from 97 to 122.
What is the ASCII value of the character 'A'?
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65
The ASCII value of uppercase 'A' is 65. Step 1: In ASCII, uppercase letters A to Z are assigned values from 65 to 90 respectively. Step 2: So A=65, B=66, C=67... Z=90. Step 3: Lowercase letters a to z have values from 97 to 122 (a=97, z=122). Step 4: The character '@' has ASCII value 64, which is just before 'A'. Why others are wrong: 97 is the ASCII value of lowercase 'a', 64 is '@', and 72 is 'H'.
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