# set-12

#### 551. Parity systems are defined as either \_\_\_\_\_\_ or \_\_\_\_\_\_ and will add an extra \_\_\_\_\_\_ to the digital information being transmitted.

1. Positive, negative, byte
2. Odd, even, bit
3. Upper, lower, digit
4. On, off, decimal

<details>

<summary>Show me the answer</summary>

**Answer:** 2. Odd, even, bit

**Explanation:**

* Parity systems are defined as either **odd** or **even** and add an extra **bit** to the digital information.
* Therefore, the correct answer is **Odd, even, bit**.

</details>

#### 552. Which type of gate can be used to add two bits?

1. EX-OR
2. EX-NOR
3. EX-NAND
4. None of the above

<details>

<summary>Show me the answer</summary>

**Answer:** 1. EX-OR

**Explanation:**

* An **EX-OR gate** can be used to add two bits.
* Therefore, the correct answer is **EX-OR**.

</details>

#### 553. Why is an exclusive-NOR gate also called an equality gate?

1. The output is false if the inputs are equal.
2. The output is true if the inputs are opposite.
3. The output is true if the inputs are equal.
4. None of the above

<details>

<summary>Show me the answer</summary>

**Answer:** 3. The output is true if the inputs are equal.

**Explanation:**

* An **EX-NOR gate** is called an **equality gate** because its output is **true** when the inputs are **equal**.
* Therefore, the correct answer is **The output is true if the inputs are equal**.

</details>

#### 554. Show from the truth table how an exclusive-OR gate can be used to invert the data on one input if the other input is a special control function.

1. Using A as the control, when ( A = 0, X ) is the same as B. When ( A = 1, X ) is the same as B.
2. Using a as the control, when ( a = 0, X ) is the same as B. When ( A = 1, X ) is the inverse of B
3. Using A as the control, when ( A = 0, X ) is the inverse of B. When ( A = 1, X ) is the same as B
4. Using A as the control, when ( A = 0, X ) is the inverse of B. When ( A = 1, X ) is the inverse of B

<details>

<summary>Show me the answer</summary>

**Answer:** 2. Using a as the control, when ( a = 0, X ) is the same as B. When ( A = 1, X ) is the inverse of B

**Explanation:**

* An **EX-OR gate** can be used to invert the data on one input if the other input is a control function.
* When **A = 0**, **X** is the same as **B**, and when **A = 1**, **X** is the inverse of **B**.
* Therefore, the correct answer is **Using a as the control, when ( a = 0, X ) is the same as B. When ( A = 1, X ) is the inverse of B**.

</details>

#### 555. Determine odd parity for each of the following data words: 1011101 11110111 1001101

1. P = 1, P = 1, P = 0
2. P = 0, P = 0, P = 0,
3. P = 1, P = 1, P = 1
4. P = 0, P = 0, P = 1

<details>

<summary>Show me the answer</summary>

**Answer:** 4. P = 0, P = 0, P = 1

**Explanation:**

* The odd parity for the data words **1011101**, **11110111**, and **1001101** is:\
  $$P = 0, P = 0, P = 1$$
* Therefore, the correct answer is **P = 0, P = 0, P = 1**.

</details>

#### 556. The Ex-NOR is sometimes called the \_\_\_\_\_\_.

1. Parity gate
2. Equality gate
3. Inverted gate
4. Parity gate or the equality gate

<details>

<summary>Show me the answer</summary>

**Answer:** 2. Equality gate

**Explanation:**

* The **EX-NOR gate** is sometimes called the **equality gate** because it outputs **1** when the inputs are equal.
* Therefore, the correct answer is **Equality gate**.

</details>

#### 557. Determine the values of A, B, C, and D that make the sum term $$( \overline{A} + \overline{B} + \overline{C} + D )$$ equal to zero.

1. A = 1, B = 0, C = 0, D = 0
2. A = 1, B = 0, C = 1, D = 0
3. A = 0, B = 1, C = 0, D = 0
4. A = 1, B = 0, C = 1, D = 1

<details>

<summary>Show me the answer</summary>

**Answer:** 2. A = 1, B = 0, C = 1, D = 0

**Explanation:**

* The sum term $$( \overline{A} + \overline{B} + \overline{C} + D )$$ equals **0** when:\
  $$A = 1, B = 0, C = 1, D = 0$$
* Therefore, the correct answer is **A = 1, B = 0, C = 1, D = 0**.

</details>

#### 558. An AND gate with schematic "bubbles" on its inputs performs the same function as a(n)\_\_\_\_\_\_ gate.

1. NOT
2. OR
3. NOR
4. NAND

<details>

<summary>Show me the answer</summary>

**Answer:** 3. NOR

**Explanation:**

* An **AND gate** with **bubbles** on its inputs performs the same function as a **NOR gate**.
* Therefore, the correct answer is **NOR**.

</details>

#### 559. For the SOP expression , how many 1s are in the truth table's output column

1. 1
2. 2
3. 3
4. 4

<details>

<summary>Show me the answer</summary>

**Answer:** 3. 3

**Explanation:**

* For the given SOP expression, there are **3** 1s in the truth table's output column.
* Therefore, the correct answer is **3**.

</details>

#### 560. A truth table for the SOP expression has how many input combinations?

1. 1
2. 2
3. 4
4. 8

<details>

<summary>Show me the answer</summary>

**Answer:** 4. 8

**Explanation:**

* A truth table for the SOP expression has **8** input combinations for 3 variables.
* Therefore, the correct answer is **8**.

</details>

#### 561. How many gates would be required to implement the following Boolean expression before simplification? XY + X(X + Z) + Y(X + Z)

1. 1
2. 2
3. 3
4. 5

<details>

<summary>Show me the answer</summary>

**Answer:** 4. 5

**Explanation:**

* The Boolean expression **XY + X(X + Z) + Y(X + Z)** requires **5 gates** before simplification.
* Therefore, the correct answer is **5**.

</details>

#### 562. In canonical SOP form, the number of min terms in logical expression , A + B'C is:

1. 4
2. 5
3. 6
4. 7

<details>

<summary>Show me the answer</summary>

**Answer:** 2. 5

**Explanation:**

* The canonical SOP form of **A + B'C** has **5 min terms**.
* Therefore, the correct answer is **5**.

</details>

#### 563. How many gates would be required to implement the following Boolean expression after simplification? XY + X(X + Z) + Y(X + Z)

1. 1
2. 2
3. 3
4. 5

<details>

<summary>Show me the answer</summary>

**Answer:** 2. 2

**Explanation:**

* After simplification, the Boolean expression **XY + X(X + Z) + Y(X + Z)** requires **2 gates**.
* Therefore, the correct answer is **2**.

</details>

#### 564. Which Boolean algebra property allows us to group operands in an expression in any order without affecting the results of the operation \[for example, A + B = B + A]?

1. Associative
2. Commutative
3. Boolean
4. Distributive

<details>

<summary>Show me the answer</summary>

**Answer:** 2. Commutative

**Explanation:**

* The **commutative property** allows operands to be grouped in any order without affecting the result.
* Therefore, the correct answer is **Commutative**.

</details>

#### 565. Applying DeMorgan's theorem to the expression $$( (X + Y) + \overline{Z} )$$, we get \_\_\_\_\_\_

1. ( (X + Y)Z )
2. ( (X' + Y')Z )
3. ( (X + Y)Z' )
4. ( (X' + Y')Z' )

<details>

<summary>Show me the answer</summary>

**Answer:** 1. ( (X + Y)Z )

**Explanation:**

* Applying DeMorgan's theorem to $$( (X + Y) + \overline{Z} )$$ gives:\
  $$(X + Y)Z$$
* Therefore, the correct answer is **( (X + Y)Z )**.

</details>

#### 566. Use Boolean algebra to find the most simplified SOP expression for F = ABD + CD + ACD + ABC + A BCD.

1. F = ABD + ABC + CD
2. F = CD + AD
3. F = BC + AB
4. F = AC + AD

<details>

<summary>Show me the answer</summary>

**Answer:** 1. F = ABD + ABC + CD

**Explanation:**

* The simplified SOP expression for **F = ABD + CD + ACD + ABC + A BCD** is:\
  $$F = ABD + ABC + CD$$
* Therefore, the correct answer is **F = ABD + ABC + CD**.

</details>

#### 567. In a sequential circuit the next state is determined ………and……

1. State variable, current state
2. Current state, flip-flop output
3. Current state and external input
4. Input and clock signal applied

<details>

<summary>Show me the answer</summary>

**Answer:** 3. Current state and external input

**Explanation:**

* In a sequential circuit, the **next state** is determined by the **current state** and the **external input**.
* Therefore, the correct answer is **Current state and external input**.

</details>

#### 568. The divide-by-60 counter in digital clock is implemented by using two cascading counters:

1. Mod -6, Mod-10
2. Mod -50, Mod -10
3. Mod 10, Mod-50
4. Mod-50, Mod -6

<details>

<summary>Show me the answer</summary>

**Answer:** 1. Mod -6, Mod-10

**Explanation:**

* A **divide-by-60 counter** is implemented using a **Mod-6** and a **Mod-10** counter.
* Therefore, the correct answer is **Mod -6, Mod-10**.

</details>

#### 569. The minimum time for which the input signal has to be maintained at the input of flip-flop is called \_\_\_ of the flip-flop.

1. Set -up time
2. Hold time
3. Pulse interval time
4. Pulse stability time (PST)

<details>

<summary>Show me the answer</summary>

**Answer:** 2. Hold time

**Explanation:**

* The **hold time** is the minimum time for which the input signal must be maintained at the input of a flip-flop.
* Therefore, the correct answer is **Hold time**.

</details>

#### 570. \_\_\_ is said to occur when multiple internal variables change due to change in one input variable.

1. Race condition
2. Hold delay
3. Hold and wait
4. Clock skew

<details>

<summary>Show me the answer</summary>

**Answer:** 1. Race condition

**Explanation:**

* A **race condition** occurs when multiple internal variables change due to a change in one input variable.
* Therefore, the correct answer is **Race condition**.

</details>

#### 571. A decade counter is.....

1. Mode-3 counter
2. Mod-5 counter
3. Mod-8 counter
4. Mod-10 counter

<details>

<summary>Show me the answer</summary>

**Answer:** 4. Mod-10 counter

**Explanation:**

* A **decade counter** is a **Mod-10 counter**.
* Therefore, the correct answer is **Mod-10 counter**.

</details>

#### 572. A nibble consist of.....bits

1. 2
2. 4
3. 8
4. 16

<details>

<summary>Show me the answer</summary>

**Answer:** 2. 4

**Explanation:**

* A **nibble** consists of **4 bits**.
* Therefore, the correct answer is **4**.

</details>

#### 573. Excess-8 code assigns to "-8 "

1. 1110
2. 1100
3. 1000
4. 0000

<details>

<summary>Show me the answer</summary>

**Answer:** 4. 0000

**Explanation:**

* The **Excess-8 code** assigns **0000** to **-8**.
* Therefore, the correct answer is **0000**.

</details>

#### 574. The three fundamentals gates are:

1. AND, NAND, NAND
2. NOT, NOR, XOR
3. NOT, OR, AND
4. NOT, NOR XOR

<details>

<summary>Show me the answer</summary>

**Answer:** 3. NOT, OR, AND

**Explanation:**

* The **three fundamental gates** are **NOT**, **OR**, and **AND**.
* Therefore, the correct answer is **NOT, OR, AND**.

</details>

#### 575. The amount of memory that is supported by any digital system depends upon.....

1. The organization of memory
2. The structure of memory
3. The size of decoding unit
4. The size of the address bus of the microprocessor

<details>

<summary>Show me the answer</summary>

**Answer:** 4. The size of the address bus of the microprocessor

**Explanation:**

* The amount of memory supported by a digital system depends on the **size of the address bus** of the microprocessor.
* Therefore, the correct answer is **The size of the address bus of the microprocessor**.

</details>

#### 576. Stack is an acronym for.....

1. LIFO memory
2. FIFO memory
3. Flash memory
4. Bust flash memory

<details>

<summary>Show me the answer</summary>

**Answer:** 1. LIFO memory

**Explanation:**

* **Stack** stands for **LIFO (Last In, First Out) memory**.
* Therefore, the correct answer is **LIFO memory**.

</details>

#### 577. Addition of two octal numbers "36" and "71" results.....

1. 213
2. 123
3. 127
4. 345

<details>

<summary>Show me the answer</summary>

**Answer:** 3. 127

**Explanation:**

* Adding **36** and **71** in octal results in **127**.
* Therefore, the correct answer is **127**.

</details>

#### 578. Addition of two octal numbers "567" and "243" results

1. 2013
2. 1023
3. 1027
4. 1032

<details>

<summary>Show me the answer</summary>

**Answer:** 4. 1032

**Explanation:**

* Adding **567** and **243** in octal results in **1032**.
* Therefore, the correct answer is **1032**.

</details>

#### 579. ......is one of the examples of synchronous inputs.

1. J-K input
2. EN input
3. Preset input (PRE)
4. Clear Input (CLR)

<details>

<summary>Show me the answer</summary>

**Answer:** 4. Clear Input (CLR)

**Explanation:**

* The **Clear Input (CLR)** is an example of a **synchronous input**.
* Therefore, the correct answer is **Clear Input (CLR)**.

</details>

#### 580. ......occurs when the same clock signal arrives at different times at different clock input due to propagation delay.

1. Race condition
2. Clockskew
3. Ripple effect
4. None of the above

<details>

<summary>Show me the answer</summary>

**Answer:** 2. Clockskew

**Explanation:**

* **Clock skew** occurs when the same clock signal arrives at different times at different clock inputs due to propagation delay.
* Therefore, the correct answer is **Clockskew**.

</details>

#### 581. In a state diagram, the transition from a current state to the next state is determined by.....

1. Current state and the input
2. Current state and output
3. Previous state and inputs
4. Previous state and output

<details>

<summary>Show me the answer</summary>

**Answer:** 1. Current state and the input

**Explanation:**

* In a state diagram, the transition from a current state to the next state is determined by the **current state** and the **input**.
* Therefore, the correct answer is **Current state and the input**.

</details>

#### 582. Assume that a 4-bit serial in/serial out shift register is initially clear. We wish to store the nibble 1100.What will be the 4-bit pattern after the second clock pulse? (Right-most bit first.)

1. 1100
2. 0011
3. 0000
4. 1111

<details>

<summary>Show me the answer</summary>

**Answer:** 3. 0000

**Explanation:**

* After the second clock pulse, the 4-bit pattern in the shift register will be **0000**.
* Therefore, the correct answer is **0000**.

</details>
