Digital Logic & Number representation

Question 251

In RS flip-flop, the output of the flip-flop at time (t+1) is same as the output at time t, after the occurrence of a clock pulse if:

• S=R=1

• S=0, R=1

• S=1, R=0

• S=R=0

Question 252

Match the terms in List - I with the options given in List - II :

codes:

List - I	List - II
(a)Decoder	(i)1 line to 2n lines
(b)Multiplexer	(ii)n lines to 2n lines
(c)De multiplexer	(iii)2n lines to 1 line
	(iv)2n lines to 2n - 1 lines

	(a)	(b)	(c)
(1)	(ii)	(i)	(iii)
(2)	(ii)	(iii)	(i)
(3)	(ii)	(i)	(iv)
(4)	(iv)	(ii)	(i)

• (1)
• (2)
• (3)
• (4)

Question 253

What does the following logic diagram represent?

• Synchronous Counter

• Ripple Counter

• Combinational Circuit

• Mod 2 Counter

Question 254

The hexadecimal equivalent of the binary integer number 110101101 is:

• D24
• 1BD
• 1AE
• 1AD

Question 255

Perform the following operation for the binary equivalent of the decimal numbers (−14)₁₀+(−15)₁₀ The solution in 8 bit representation is:

• 11100011
• 00011101
• 10011101
• 11110011

Question 256

Simplify the following using K-map : F (A, B, C, D) = Σ (0, 1, 2, 8, 9, 12, 13) d (A, B, C, D) = Σ (10, 11, 14, 15) d stands for don’t care condition.

• A + B` D `+ BC
• A + B` D` + B` C`
• A + B` C`
• A` + B` C `+ B` D`

Question 257

Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?

• 15
• 21
• D2
• 528

Question 258

Consider a 3-bit counter, designed using T flip-flops, as shown below: Assuming the initial state of the counter given by PQR as 000, what are the next three states?

• 011,101,000
• 001,010,111
• 011,101,111
• 001,010,000

Question 259

The format of the single-precision floating point representation of a real number as per the IEEE 754 standard is as follows: Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?

• exponent =00000000 and mantissa =0000000000000000000000000
• exponent =00000000 and mantissa =0000000000000000000000001
• exponent =00000001 and mantissa =0000000000000000000000000
• exponent =00000001 and mantissa =0000000000000000000000001

Question 260

Which one of the following circuits implements the Boolean function given below?

f(x,y,z) = m0 + m1 + m3 + m4 + m5 + m6 

where mi is the ith minterm.

• A
• B
• C
• D