Answer true $($T$)$ or false $($F$)$ to each of the following questions.Boolean algebra: AC $+$ ABC $=$ ABThe range of decimal values that can be expressed in $4$ bits using binary two's complement is $-8$ to $8$Every hexadecimal number corresponds to a unique binary number.Signed$-$magnitude and two's complement both have two representations for zero.Boolean simplification allows to produce a smaller or faster digital circuit.GHz is often used to measure the clock speed of a computer.The clock rate is the inverse of the clock periods