How many gates would be required to

implement the following Boolean expression after simplification?

 XY + X(X + Z)

+ Y(X + Z)

What

logic function is the sum output of a half-adder?

A full subtractor circuit requires

________.

Convert

each of the signed decimal numbers to an 8-bit signed binary number

(two's-complement).

+7        –3        –12

The

truth table for the SOP expression 

The output of an AND gate is LOW

________.

The frequency of a pulse train is 2 kHz.

The pulse period is ________.

Derive the Boolean expression for the

logic circuit shown below:

How

many binary bits are necessary to represent 448 different numbers.