WorksheetsChapter 1: Basics of Digital Electronics Introduction
Total questions: 14
Worksheet time: 7mins
Which statement best distinguishes analog systems from digital systems as introduced in the chapter?
Analog systems process signals that vary continuously over a range, while digital systems handle discrete signals represented in binary (0 or 1).
Analog systems operate only at two voltage levels, while digital systems vary smoothly across many levels.
Digital systems are limited to mechanical devices, while analog systems power microprocessors and computers.
Digital systems always use sine waves, whereas analog systems always use square waves.
Which statement correctly defines the radix (base) of a number system?
The largest digit that appears in the system
The number of different digits that can occur in each position
The weight assigned to the leftmost digit only
The total count of digits in a given number
Using the method illustrated, what is the binary equivalent of the decimal number (105.15)10?
(1101001.001001)2
(1010011.010010)2
(1100101.000101)2
(1001101.001010)2
Using the 3-bit grouping method for binary-to-octal, what is the octal equivalent of the binary number 101111010110.110110011?
(5726.663)8
(2571.34)8
(5726.636)8
(5726.663)16
According to the binary subtraction rules shown, what is the correct result of subtracting (111.111)₂ from (1010.010)₂?
(0010.011)₂
(0100.101)₂
(1001.101)₂
(0110.010)₂
What is the 2’s complement of the binary number (1010)₂? Use the definition: 2’s complement = 1’s complement + 1.
0010₂
0101₂
0110₂
1011₂
Which statement best distinguishes weighted from non-weighted binary codes in digital electronics?
Weighted codes assign a fixed weight to each digit position; non-weighted codes do not assign any fixed weight.
Weighted codes are only used for alphabets; non-weighted codes are only used for numerics.
Weighted codes use variable-length bit groups; non-weighted codes always use 4 bits.
Weighted codes cannot represent decimal digits; non-weighted codes are only for decimal digits.
In the BCD (8421) code, each decimal digit is represented by four bits with weights 8, 4, 2, and 1 from MSB to LSB. Which of the following 4-bit patterns is an illegal BCD code?
0101
1001
1010
0011
Which statement best describes the BCD to Excess-3 conversion procedure for a multi-digit number?
Add 0011 to the entire BCD number once and read the result as Excess-3
Add 0011 to each 4-bit BCD digit separately, then concatenate the results
Subtract 0011 from each 4-bit BCD digit separately, then concatenate the results
Reverse the bit order of each BCD digit and append a parity bit
Which rule correctly converts an n-bit binary number Bn Bn-1 ... B1 into Gray code?
G1 = B1 and each subsequent Gray bit equals the previous Gray bit
Gn = Bn; each lower Gray bit equals XOR of adjacent binary bits: Gi = Bi+1 ⊕ Bi
Gn = Bn ⊕ Bn-1 and G1 = B1
Gray bits are identical to binary bits
Which postulate of Boolean algebra asserts that for any elements A, B, and C, the relation A · (B + C) = (A · B) + (A · C) holds?
Closure Postulate
Identity Postulate
Associative Postulate
Distributive Postulate
Which statement best describes the output behavior of a 2-input AND gate?
The output is HIGH if any one input is HIGH
The output is HIGH only when both inputs are HIGH
The output is LOW only when both inputs are LOW
The output toggles regardless of inputs
Which statement correctly describes the output condition of a two‑input NAND gate?
The output is HIGH only when both inputs are HIGH.
The output is LOW only when both inputs are HIGH.
The output is HIGH only when both inputs are LOW.
The output toggles for an odd number of HIGH inputs.
Which Boolean identity corresponds to De Morgan’s first theorem as demonstrated by truth tables, expressing the complement of a sum as a product of complements?
(A + B)' = A' + B'
(A + B)' = A' · B'
(A · B)' = A' · B'
(A · B)' = A' + B'
