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Convert (8df9) 16 to its binary equivalent.

The binary equivalent 8 is 1000 The binary equivalent D is 1101 The binary equivalent F is 1111 The binary equivalent 9 is 1001 Binary equivalent... View Article

What is the binary equivalent of 83?

Binary conversion of decimal number 83 We divide the given decimal number with 2 and note down the remainders 83/2 = 41 ( remainder 1) LSB... View Article

Can surds be negative?

No, surds cannot be negative. By the definition of surds, a which is written in the form .... View Article

What is the value of -1 to the power 2?

If −1 is raised to even power then it will be 1 and if −1 is raised to odd power then it will be −1. Therefore, (−1)2 = 1... View Article

What is the value of −16 to power 2?

(−16)2 = −16 × −16 = 256... View Article

What is the value of −3 to the power −4?

As a−m = 1/am Therefore, (−3)−4 = 1/(−3)4 = 1/81... View Article

What are the factors of 2450?

The factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225 and 2450. The prime factorization of 2450 is 2... View Article

If m is the A.M. of two distinct real numbers l and n (l, n>1) and G1, G2 and G3 are three Geometric Means between l and n then find the value of G1^4+ 2G2^4+ G3^4

Given, m is arithmetic mean of l and m Then, m= ⇒ 2m = l + n Now, l, G1, G2, G3, n are in G.P. Let r be the common ratio of this G.P.... View Article

What is the value of 10 to the power -6?

By the law of exponents, a−m = Therefore, 10−6 = = 0.000001... View Article

If a = -12 and b= 4 then find the value of (-a) ÷ (-b)

Given, a = −12 and b = −4 then, (−a) ÷ (−b) = −(−12) ÷ −(−4) = 12 ÷ 4 = 3... View Article

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

Speed of the train = 60 km/h = 60 × m/sec Time taken to cross the pole = 9 sec Length of the train = speed × time = m = 150 m... View Article

Plot the input characteristics of BJT mentioning different regions

Solution: The three different configurations of BJT are: Common Base (CB) Configuration Common Emitter (CE) Configuration Common Collector (CC)... View Article

Hysteresis loops for two magnetic materials A and B are given below: These materials are used to make magnets for electric generators, transformer core and electromagnet core. Then it is proper to use:

a) A for transformer and B for electric generators b) A for electric generators and transformers c) B for electromagnets and transformers d) A... View Article

If the perimeter of the equilateral triangle is 180 cm, what will be its area?

Solution: Given perimeter of equilateral triangle = 180 cm All sides of an equilateral triangle are equal in measure. Let a be the side of... View Article

The equation of a straight line which passes through the point (-3, 5) such that the portion of it between the axes is divided by the point in the ratio 5 : 3 (reckoning from x-axis) will be

(a) x+y-2 = 0 (b) 2x+y+1 = 0 (c x+2y-7 = 0 (d) x-y+8 = 0 Solution: Equation of line passing through (-3, 5) is y = mx+c => 5 = -3 + c... View Article

Integrate e^2x.

Solution: We have to find ∫e2x dx. Put u = 2x du = 2 dx => dx = ½ du ∫e2x dx = ∫eu. ½ du = ½ ∫eu du... View Article

Feet to metre formula

Feet to metre formula is used to convert length in feet to metre. The standard unit for measurement of length is metre. Metre is also called the... View Article

The area of a circle inscribed in an equilateral triangle is 48π square units. Then the perimeter of the triangle is (in units)

(a) 72√3 (b) 48√3 (c) 72 (d) 36 Solution: Given area of circle = 48π πr2 = 48π => r2= 48 => r = 4√3 units Let a be the side of... View Article

Find the equation of the plane containing the lines (x−5)/4=(y−7)/4=(z+3)/−5 and (x−8)/7=(y−4)/1=(z−5)/3

If lines lie in same plane then Comparing the values we get = 3(12+5)+3(12+35)+8(4−28) = 51 + 141 − 192 =0 Therefore,... View Article

Let the matrices A and B such that then find the value of A8 – (a) 4B (b) 128B (c)−128B (d)64B

Given, A = Clearly, A = iB ⇒ And = 2B Then, Now, [latex](A^{4})^{2} = (8B)^{2} = 64B^{2} = 64(2B) = 128 B Therefore,... View Article