Boolean function

A Boolean function, $f(x,y,z)$ with $x$ as MSB and $z$ as LSB is realized by 4:1 multiplexer (MUX) with select lines, $S_1$ and $S_0$ ($S_1$ is MSB, $S_0$ is LSB) and inputs, $I_0,...

Consider the four-variable Boolean function, f(w, x, y, z) = ∑m(0,2,5,7,8,10,13,14,15) with 'w' as MSB and 'z' as LSB. Which of the following expressions is/are the valid form(s) o...

For the Boolean function F(A, B, C, D) = ∑m(0,2,5,7,8,10,12,13,14,15), the essential prime implicants are ____________.

Which one of the following gives the simplified sum of products expression for the Boolean function $$F = {m_0} + {m_2} + {m_3} + {m_5},$$ where $$F = {m_0} + {m_2} + {m_3} + {m_5}...

For an n - variable Boolean function maximum number of prime implicants is

Consider the Boolean function, F(w,z,y,z)=wy+ xy +$$\overline w \,xyz + \overline w \,\overline x y\, + xz + \,\overline {x\,} \,\overline y \,$$ $$\overline z $$ Which one of the...

In the sum of products function f (x,y,z) = $$\sum {} $$m (2,3,4,5), the prime implicants are

A Boolean function 'f' of two variables x and y is defined as follows: f(0,0)=f(0,1)=f(1,1)=1;f(1,0)=0 Assuming complements of x and y are not available, a minimum cost solution fo...

In certain application, four inputs A, B, C, D (both true and complement forms available)are fed to logic circuit, producing an output F which operates a relay. The relay turns on...

Two 2' s complement numbers having sign bits x and y added and the sign bit of the result is z. Then, the occurrence of overflow is indicated by the Boolean function.

A Boolean function, F , given as sum of product (SOP) terms as F= $$\sum {} $$m(3,4,5,6) with A,B, and C as inputs. The function, F, can be expreeed on the Karnaugh's map shown bel...

Signals A,B,C,D and $$\overline D $$ are available. Using a single 8 - to - 1 multiplexer and no other gate, implement the Boolean function. $$f(A,B,C,D) = B.C + A.B.\bar D + \bar...